feat: Implement ADR-014 SOTA signal processing (6 algorithms, 83 tests)

Add six research-grade signal processing algorithms to wifi-densepose-signal:

- Conjugate Multiplication: CFO/SFO cancellation via antenna ratio (SpotFi)
- Hampel Filter: Robust median/MAD outlier detection (50% contamination resistant)
- Fresnel Zone Model: Physics-based breathing detection from chest displacement
- CSI Spectrogram: STFT time-frequency generation with 4 window functions
- Subcarrier Selection: Variance-ratio ranking for top-K motion-sensitive subcarriers
- Body Velocity Profile: Domain-independent Doppler velocity mapping (Widar 3.0)

All 313 workspace tests pass, 0 failures. Updated README with new capabilities.

https://claude.ai/code/session_01Ki7pvEZtJDvqJkmyn6B714
This commit is contained in:
Claude
2026-02-28 14:34:16 +00:00
parent 63c3d0f9fc
commit fcb93ccb2d
9 changed files with 1868 additions and 1 deletions

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//! Body Velocity Profile (BVP) extraction.
//!
//! BVP is a domain-independent 2D representation (velocity × time) that encodes
//! how different body parts move at different speeds. Because BVP captures
//! velocity distributions rather than raw CSI values, it generalizes across
//! environments (different rooms, furniture, AP placement).
//!
//! # Algorithm
//! 1. Apply STFT to each subcarrier's temporal amplitude stream
//! 2. Map frequency bins to velocity via v = f_doppler * λ / 2
//! 3. Aggregate |STFT| across subcarriers to form BVP
//!
//! # References
//! - Widar 3.0: Zero-Effort Cross-Domain Gesture Recognition (MobiSys 2019)
use ndarray::Array2;
use num_complex::Complex64;
use rustfft::FftPlanner;
use std::f64::consts::PI;
/// Configuration for BVP extraction.
#[derive(Debug, Clone)]
pub struct BvpConfig {
/// STFT window size (samples)
pub window_size: usize,
/// STFT hop size (samples)
pub hop_size: usize,
/// Carrier frequency in Hz (for velocity mapping)
pub carrier_frequency: f64,
/// Number of velocity bins to output
pub n_velocity_bins: usize,
/// Maximum velocity to resolve (m/s)
pub max_velocity: f64,
}
impl Default for BvpConfig {
fn default() -> Self {
Self {
window_size: 128,
hop_size: 32,
carrier_frequency: 5.0e9,
n_velocity_bins: 64,
max_velocity: 2.0,
}
}
}
/// Body Velocity Profile result.
#[derive(Debug, Clone)]
pub struct BodyVelocityProfile {
/// BVP matrix: (n_velocity_bins × n_time_frames)
/// Each column is a velocity distribution at a time instant.
pub data: Array2<f64>,
/// Velocity values for each row bin (m/s)
pub velocity_bins: Vec<f64>,
/// Number of time frames
pub n_time: usize,
/// Time resolution (seconds per frame)
pub time_resolution: f64,
/// Velocity resolution (m/s per bin)
pub velocity_resolution: f64,
}
/// Extract Body Velocity Profile from temporal CSI data.
///
/// `csi_temporal`: (num_samples × num_subcarriers) amplitude matrix
/// `sample_rate`: sampling rate in Hz
pub fn extract_bvp(
csi_temporal: &Array2<f64>,
sample_rate: f64,
config: &BvpConfig,
) -> Result<BodyVelocityProfile, BvpError> {
let (n_samples, n_sc) = csi_temporal.dim();
if n_samples < config.window_size {
return Err(BvpError::InsufficientSamples {
needed: config.window_size,
got: n_samples,
});
}
if n_sc == 0 {
return Err(BvpError::NoSubcarriers);
}
if config.hop_size == 0 || config.window_size == 0 {
return Err(BvpError::InvalidConfig("window_size and hop_size must be > 0".into()));
}
let wavelength = 2.998e8 / config.carrier_frequency;
let n_frames = (n_samples - config.window_size) / config.hop_size + 1;
let n_fft_bins = config.window_size / 2 + 1;
// Hann window
let window: Vec<f64> = (0..config.window_size)
.map(|i| 0.5 * (1.0 - (2.0 * PI * i as f64 / (config.window_size - 1) as f64).cos()))
.collect();
let mut planner = FftPlanner::new();
let fft = planner.plan_fft_forward(config.window_size);
// Compute STFT magnitude for each subcarrier, then aggregate
let mut aggregated = Array2::zeros((n_fft_bins, n_frames));
for sc in 0..n_sc {
let col: Vec<f64> = csi_temporal.column(sc).to_vec();
// Remove DC from this subcarrier
let mean: f64 = col.iter().sum::<f64>() / col.len() as f64;
for frame in 0..n_frames {
let start = frame * config.hop_size;
let mut buffer: Vec<Complex64> = col[start..start + config.window_size]
.iter()
.zip(window.iter())
.map(|(&s, &w)| Complex64::new((s - mean) * w, 0.0))
.collect();
fft.process(&mut buffer);
// Accumulate magnitude across subcarriers
for bin in 0..n_fft_bins {
aggregated[[bin, frame]] += buffer[bin].norm();
}
}
}
// Normalize by number of subcarriers
aggregated /= n_sc as f64;
// Map FFT bins to velocity bins
let freq_resolution = sample_rate / config.window_size as f64;
let velocity_resolution = config.max_velocity * 2.0 / config.n_velocity_bins as f64;
let velocity_bins: Vec<f64> = (0..config.n_velocity_bins)
.map(|i| -config.max_velocity + i as f64 * velocity_resolution)
.collect();
// Resample FFT bins to velocity bins using v = f_doppler * λ / 2
let mut bvp = Array2::zeros((config.n_velocity_bins, n_frames));
for (v_idx, &velocity) in velocity_bins.iter().enumerate() {
// Convert velocity to Doppler frequency
let doppler_freq = 2.0 * velocity / wavelength;
// Convert to FFT bin index
let fft_bin = (doppler_freq.abs() / freq_resolution).round() as usize;
if fft_bin < n_fft_bins {
for frame in 0..n_frames {
bvp[[v_idx, frame]] = aggregated[[fft_bin, frame]];
}
}
}
Ok(BodyVelocityProfile {
data: bvp,
velocity_bins,
n_time: n_frames,
time_resolution: config.hop_size as f64 / sample_rate,
velocity_resolution,
})
}
/// Errors from BVP extraction.
#[derive(Debug, thiserror::Error)]
pub enum BvpError {
#[error("Insufficient samples: need {needed}, got {got}")]
InsufficientSamples { needed: usize, got: usize },
#[error("No subcarriers in input")]
NoSubcarriers,
#[error("Invalid configuration: {0}")]
InvalidConfig(String),
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_bvp_dimensions() {
let n_samples = 1000;
let n_sc = 10;
let csi = Array2::from_shape_fn((n_samples, n_sc), |(t, sc)| {
let freq = 1.0 + sc as f64 * 0.3;
(2.0 * PI * freq * t as f64 / 100.0).sin()
});
let config = BvpConfig {
window_size: 128,
hop_size: 32,
n_velocity_bins: 64,
..Default::default()
};
let bvp = extract_bvp(&csi, 100.0, &config).unwrap();
assert_eq!(bvp.data.dim().0, 64); // velocity bins
let expected_frames = (1000 - 128) / 32 + 1;
assert_eq!(bvp.n_time, expected_frames);
assert_eq!(bvp.velocity_bins.len(), 64);
}
#[test]
fn test_bvp_velocity_range() {
let csi = Array2::from_shape_fn((500, 5), |(t, _)| (t as f64 * 0.05).sin());
let config = BvpConfig {
max_velocity: 3.0,
n_velocity_bins: 60,
window_size: 64,
hop_size: 16,
..Default::default()
};
let bvp = extract_bvp(&csi, 100.0, &config).unwrap();
// Velocity bins should span [-3.0, +3.0)
assert!(bvp.velocity_bins[0] < 0.0);
assert!(*bvp.velocity_bins.last().unwrap() > 0.0);
assert!((bvp.velocity_bins[0] - (-3.0)).abs() < 0.2);
}
#[test]
fn test_static_scene_low_velocity() {
// Constant signal → no Doppler → BVP should peak at velocity=0
let csi = Array2::from_elem((500, 10), 1.0);
let config = BvpConfig {
window_size: 64,
hop_size: 32,
n_velocity_bins: 32,
max_velocity: 1.0,
..Default::default()
};
let bvp = extract_bvp(&csi, 100.0, &config).unwrap();
// After removing DC and applying window, constant signal has
// near-zero energy at all Doppler frequencies
let total_energy: f64 = bvp.data.iter().sum();
// For a constant signal with DC removed, total energy should be very small
assert!(
total_energy < 1.0,
"Static scene should have low Doppler energy, got {}",
total_energy
);
}
#[test]
fn test_moving_body_nonzero_velocity() {
// A sinusoidal amplitude modulation simulates motion → Doppler energy
let n = 1000;
let motion_freq = 5.0; // Hz
let csi = Array2::from_shape_fn((n, 8), |(t, _)| {
1.0 + 0.5 * (2.0 * PI * motion_freq * t as f64 / 100.0).sin()
});
let config = BvpConfig {
window_size: 128,
hop_size: 32,
n_velocity_bins: 64,
max_velocity: 2.0,
..Default::default()
};
let bvp = extract_bvp(&csi, 100.0, &config).unwrap();
let total_energy: f64 = bvp.data.iter().sum();
assert!(total_energy > 0.0, "Moving body should produce Doppler energy");
}
#[test]
fn test_insufficient_samples() {
let csi = Array2::from_elem((10, 5), 1.0);
let config = BvpConfig {
window_size: 128,
..Default::default()
};
assert!(matches!(
extract_bvp(&csi, 100.0, &config),
Err(BvpError::InsufficientSamples { .. })
));
}
#[test]
fn test_time_resolution() {
let csi = Array2::from_elem((500, 5), 1.0);
let config = BvpConfig {
window_size: 64,
hop_size: 32,
..Default::default()
};
let bvp = extract_bvp(&csi, 100.0, &config).unwrap();
assert!((bvp.time_resolution - 0.32).abs() < 1e-6); // 32/100
}
}

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//! Conjugate Multiplication (CSI Ratio Model)
//!
//! Cancels carrier frequency offset (CFO), sampling frequency offset (SFO),
//! and packet detection delay by computing `H_i[k] * conj(H_j[k])` across
//! antenna pairs. The resulting phase reflects only environmental changes
//! (human motion), not hardware artifacts.
//!
//! # References
//! - SpotFi: Decimeter Level Localization Using WiFi (SIGCOMM 2015)
//! - IndoTrack: Device-Free Indoor Human Tracking (MobiCom 2017)
use ndarray::Array2;
use num_complex::Complex64;
/// Compute CSI ratio between two antenna streams.
///
/// For each subcarrier k: `ratio[k] = H_ref[k] * conj(H_target[k])`
///
/// This eliminates hardware phase offsets (CFO, SFO, PDD) that are
/// common to both antennas, preserving only the path-difference phase
/// caused by signal propagation through the environment.
pub fn conjugate_multiply(
h_ref: &[Complex64],
h_target: &[Complex64],
) -> Result<Vec<Complex64>, CsiRatioError> {
if h_ref.len() != h_target.len() {
return Err(CsiRatioError::LengthMismatch {
ref_len: h_ref.len(),
target_len: h_target.len(),
});
}
if h_ref.is_empty() {
return Err(CsiRatioError::EmptyInput);
}
Ok(h_ref
.iter()
.zip(h_target.iter())
.map(|(r, t)| r * t.conj())
.collect())
}
/// Compute CSI ratio matrix for all antenna pairs from a multi-antenna CSI snapshot.
///
/// Input: `csi_complex` is (num_antennas × num_subcarriers) complex CSI.
/// Output: For each pair (i, j) where j > i, a row of conjugate-multiplied values.
/// Returns (num_pairs × num_subcarriers) matrix.
pub fn compute_ratio_matrix(csi_complex: &Array2<Complex64>) -> Result<Array2<Complex64>, CsiRatioError> {
let (n_ant, n_sc) = csi_complex.dim();
if n_ant < 2 {
return Err(CsiRatioError::InsufficientAntennas { count: n_ant });
}
let n_pairs = n_ant * (n_ant - 1) / 2;
let mut ratio_matrix = Array2::zeros((n_pairs, n_sc));
let mut pair_idx = 0;
for i in 0..n_ant {
for j in (i + 1)..n_ant {
let ref_row: Vec<Complex64> = csi_complex.row(i).to_vec();
let target_row: Vec<Complex64> = csi_complex.row(j).to_vec();
let ratio = conjugate_multiply(&ref_row, &target_row)?;
for (k, &val) in ratio.iter().enumerate() {
ratio_matrix[[pair_idx, k]] = val;
}
pair_idx += 1;
}
}
Ok(ratio_matrix)
}
/// Extract sanitized amplitude and phase from a CSI ratio matrix.
///
/// Returns (amplitude, phase) each as (num_pairs × num_subcarriers).
pub fn ratio_to_amplitude_phase(ratio: &Array2<Complex64>) -> (Array2<f64>, Array2<f64>) {
let (nrows, ncols) = ratio.dim();
let mut amplitude = Array2::zeros((nrows, ncols));
let mut phase = Array2::zeros((nrows, ncols));
for ((i, j), val) in ratio.indexed_iter() {
amplitude[[i, j]] = val.norm();
phase[[i, j]] = val.arg();
}
(amplitude, phase)
}
/// Errors from CSI ratio computation
#[derive(Debug, thiserror::Error)]
pub enum CsiRatioError {
#[error("Antenna stream length mismatch: ref={ref_len}, target={target_len}")]
LengthMismatch { ref_len: usize, target_len: usize },
#[error("Empty input")]
EmptyInput,
#[error("Need at least 2 antennas, got {count}")]
InsufficientAntennas { count: usize },
}
#[cfg(test)]
mod tests {
use super::*;
use std::f64::consts::PI;
#[test]
fn test_conjugate_multiply_cancels_common_phase() {
// Both antennas see the same CFO phase offset θ.
// H_1[k] = A1 * exp(j*(φ1 + θ)), H_2[k] = A2 * exp(j*(φ2 + θ))
// ratio = H_1 * conj(H_2) = A1*A2 * exp(j*(φ1 - φ2))
// The common offset θ is cancelled.
let cfo_offset = 1.7; // arbitrary CFO phase
let phi1 = 0.3;
let phi2 = 0.8;
let h1 = vec![Complex64::from_polar(2.0, phi1 + cfo_offset)];
let h2 = vec![Complex64::from_polar(3.0, phi2 + cfo_offset)];
let ratio = conjugate_multiply(&h1, &h2).unwrap();
let result_phase = ratio[0].arg();
let result_amp = ratio[0].norm();
// Phase should be φ1 - φ2, CFO cancelled
assert!((result_phase - (phi1 - phi2)).abs() < 1e-10);
// Amplitude should be A1 * A2
assert!((result_amp - 6.0).abs() < 1e-10);
}
#[test]
fn test_ratio_matrix_pair_count() {
// 3 antennas → 3 pairs, 4 antennas → 6 pairs
let csi = Array2::from_shape_fn((3, 10), |(i, j)| {
Complex64::from_polar(1.0, (i * 10 + j) as f64 * 0.1)
});
let ratio = compute_ratio_matrix(&csi).unwrap();
assert_eq!(ratio.dim(), (3, 10)); // C(3,2) = 3 pairs
let csi4 = Array2::from_shape_fn((4, 8), |(i, j)| {
Complex64::from_polar(1.0, (i * 8 + j) as f64 * 0.1)
});
let ratio4 = compute_ratio_matrix(&csi4).unwrap();
assert_eq!(ratio4.dim(), (6, 8)); // C(4,2) = 6 pairs
}
#[test]
fn test_ratio_preserves_path_difference() {
// Two antennas separated by d, signal from angle θ
// Phase difference = 2π * d * sin(θ) / λ
let wavelength = 0.06; // 5 GHz
let antenna_spacing = 0.025; // 2.5 cm
let arrival_angle = PI / 6.0; // 30 degrees
let path_diff_phase = 2.0 * PI * antenna_spacing * arrival_angle.sin() / wavelength;
let cfo = 2.5; // large CFO
let n_sc = 56;
let csi = Array2::from_shape_fn((2, n_sc), |(ant, k)| {
let sc_phase = k as f64 * 0.05; // subcarrier-dependent phase
let ant_phase = if ant == 0 { 0.0 } else { path_diff_phase };
Complex64::from_polar(1.0, sc_phase + ant_phase + cfo)
});
let ratio = compute_ratio_matrix(&csi).unwrap();
let (_, phase) = ratio_to_amplitude_phase(&ratio);
// All subcarriers should show the same path-difference phase
for j in 0..n_sc {
assert!(
(phase[[0, j]] - (-path_diff_phase)).abs() < 1e-10,
"Subcarrier {} phase={}, expected={}",
j, phase[[0, j]], -path_diff_phase
);
}
}
#[test]
fn test_single_antenna_error() {
let csi = Array2::from_shape_fn((1, 10), |(_, j)| {
Complex64::new(j as f64, 0.0)
});
assert!(matches!(
compute_ratio_matrix(&csi),
Err(CsiRatioError::InsufficientAntennas { .. })
));
}
#[test]
fn test_length_mismatch() {
let h1 = vec![Complex64::new(1.0, 0.0); 10];
let h2 = vec![Complex64::new(1.0, 0.0); 5];
assert!(matches!(
conjugate_multiply(&h1, &h2),
Err(CsiRatioError::LengthMismatch { .. })
));
}
}

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//! Fresnel Zone Breathing Model
//!
//! Models WiFi signal variation as a function of human chest displacement
//! crossing Fresnel zone boundaries. At 5 GHz (λ=60mm), chest displacement
//! of 5-10mm during breathing is a significant fraction of the Fresnel zone
//! width, producing measurable phase and amplitude changes.
//!
//! # References
//! - FarSense: Pushing the Range Limit (MobiCom 2019)
//! - Wi-Sleep: Contactless Sleep Staging (UbiComp 2021)
use std::f64::consts::PI;
/// Physical constants and defaults for WiFi sensing.
pub const SPEED_OF_LIGHT: f64 = 2.998e8; // m/s
/// Fresnel zone geometry for a TX-RX-body configuration.
#[derive(Debug, Clone)]
pub struct FresnelGeometry {
/// Distance from TX to body reflection point (meters)
pub d_tx_body: f64,
/// Distance from body reflection point to RX (meters)
pub d_body_rx: f64,
/// Carrier frequency in Hz (e.g., 5.8e9 for 5.8 GHz)
pub frequency: f64,
}
impl FresnelGeometry {
/// Create geometry for a given TX-body-RX configuration.
pub fn new(d_tx_body: f64, d_body_rx: f64, frequency: f64) -> Result<Self, FresnelError> {
if d_tx_body <= 0.0 || d_body_rx <= 0.0 {
return Err(FresnelError::InvalidDistance);
}
if frequency <= 0.0 {
return Err(FresnelError::InvalidFrequency);
}
Ok(Self {
d_tx_body,
d_body_rx,
frequency,
})
}
/// Wavelength in meters.
pub fn wavelength(&self) -> f64 {
SPEED_OF_LIGHT / self.frequency
}
/// Radius of the nth Fresnel zone at the body point.
///
/// F_n = sqrt(n * λ * d1 * d2 / (d1 + d2))
pub fn fresnel_radius(&self, n: u32) -> f64 {
let lambda = self.wavelength();
let d1 = self.d_tx_body;
let d2 = self.d_body_rx;
(n as f64 * lambda * d1 * d2 / (d1 + d2)).sqrt()
}
/// Phase change caused by a small body displacement Δd (meters).
///
/// The reflected path changes by 2*Δd (there and back), producing
/// phase change: ΔΦ = 2π * 2Δd / λ
pub fn phase_change(&self, displacement_m: f64) -> f64 {
2.0 * PI * 2.0 * displacement_m / self.wavelength()
}
/// Expected amplitude variation from chest displacement.
///
/// The signal amplitude varies as |sin(ΔΦ/2)| when the reflection
/// point crosses Fresnel zone boundaries.
pub fn expected_amplitude_variation(&self, displacement_m: f64) -> f64 {
let delta_phi = self.phase_change(displacement_m);
(delta_phi / 2.0).sin().abs()
}
}
/// Breathing rate estimation using Fresnel zone model.
#[derive(Debug, Clone)]
pub struct FresnelBreathingEstimator {
geometry: FresnelGeometry,
/// Expected chest displacement range (meters) for breathing
min_displacement: f64,
max_displacement: f64,
}
impl FresnelBreathingEstimator {
/// Create estimator with geometry and chest displacement bounds.
///
/// Typical adult chest displacement: 4-12mm (0.004-0.012 m)
pub fn new(geometry: FresnelGeometry) -> Self {
Self {
geometry,
min_displacement: 0.003,
max_displacement: 0.015,
}
}
/// Check if observed amplitude variation is consistent with breathing.
///
/// Returns confidence (0.0-1.0) based on whether the observed signal
/// variation matches the expected Fresnel model prediction for chest
/// displacements in the breathing range.
pub fn breathing_confidence(&self, observed_amplitude_variation: f64) -> f64 {
let min_expected = self.geometry.expected_amplitude_variation(self.min_displacement);
let max_expected = self.geometry.expected_amplitude_variation(self.max_displacement);
let (low, high) = if min_expected < max_expected {
(min_expected, max_expected)
} else {
(max_expected, min_expected)
};
if observed_amplitude_variation >= low && observed_amplitude_variation <= high {
// Within expected range: high confidence
1.0
} else if observed_amplitude_variation < low {
// Below range: scale linearly
(observed_amplitude_variation / low).clamp(0.0, 1.0)
} else {
// Above range: could be larger motion (walking), lower confidence for breathing
(high / observed_amplitude_variation).clamp(0.0, 1.0)
}
}
/// Estimate breathing rate from temporal amplitude signal using the Fresnel model.
///
/// Uses autocorrelation to find periodicity, then validates against
/// expected Fresnel amplitude range. Returns (rate_bpm, confidence).
pub fn estimate_breathing_rate(
&self,
amplitude_signal: &[f64],
sample_rate: f64,
) -> Result<BreathingEstimate, FresnelError> {
if amplitude_signal.len() < 10 {
return Err(FresnelError::InsufficientData {
needed: 10,
got: amplitude_signal.len(),
});
}
if sample_rate <= 0.0 {
return Err(FresnelError::InvalidFrequency);
}
// Remove DC (mean)
let mean: f64 = amplitude_signal.iter().sum::<f64>() / amplitude_signal.len() as f64;
let centered: Vec<f64> = amplitude_signal.iter().map(|x| x - mean).collect();
// Autocorrelation to find periodicity
let n = centered.len();
let max_lag = (sample_rate * 10.0) as usize; // Up to 10 seconds (6 BPM)
let min_lag = (sample_rate * 1.5) as usize; // At least 1.5 seconds (40 BPM)
let max_lag = max_lag.min(n / 2);
if min_lag >= max_lag {
return Err(FresnelError::InsufficientData {
needed: (min_lag * 2 + 1),
got: n,
});
}
// Compute autocorrelation for breathing-range lags
let mut best_lag = min_lag;
let mut best_corr = f64::NEG_INFINITY;
let norm: f64 = centered.iter().map(|x| x * x).sum();
if norm < 1e-15 {
return Err(FresnelError::NoSignal);
}
for lag in min_lag..max_lag {
let mut corr = 0.0;
for i in 0..(n - lag) {
corr += centered[i] * centered[i + lag];
}
corr /= norm;
if corr > best_corr {
best_corr = corr;
best_lag = lag;
}
}
let period_seconds = best_lag as f64 / sample_rate;
let rate_bpm = 60.0 / period_seconds;
// Compute amplitude variation for Fresnel confidence
let amp_var = amplitude_variation(&centered);
let fresnel_conf = self.breathing_confidence(amp_var);
// Autocorrelation quality (>0.3 is good periodicity)
let autocorr_conf = best_corr.max(0.0).min(1.0);
let confidence = fresnel_conf * 0.4 + autocorr_conf * 0.6;
Ok(BreathingEstimate {
rate_bpm,
confidence,
period_seconds,
autocorrelation_peak: best_corr,
fresnel_confidence: fresnel_conf,
amplitude_variation: amp_var,
})
}
}
/// Result of breathing rate estimation.
#[derive(Debug, Clone)]
pub struct BreathingEstimate {
/// Estimated breathing rate in breaths per minute
pub rate_bpm: f64,
/// Combined confidence (0.0-1.0)
pub confidence: f64,
/// Estimated breathing period in seconds
pub period_seconds: f64,
/// Peak autocorrelation value at detected period
pub autocorrelation_peak: f64,
/// Confidence from Fresnel model match
pub fresnel_confidence: f64,
/// Observed amplitude variation
pub amplitude_variation: f64,
}
/// Compute peak-to-peak amplitude variation (normalized).
fn amplitude_variation(signal: &[f64]) -> f64 {
if signal.is_empty() {
return 0.0;
}
let max = signal.iter().cloned().fold(f64::NEG_INFINITY, f64::max);
let min = signal.iter().cloned().fold(f64::INFINITY, f64::min);
max - min
}
/// Errors from Fresnel computations.
#[derive(Debug, thiserror::Error)]
pub enum FresnelError {
#[error("Distance must be positive")]
InvalidDistance,
#[error("Frequency must be positive")]
InvalidFrequency,
#[error("Insufficient data: need {needed}, got {got}")]
InsufficientData { needed: usize, got: usize },
#[error("No signal detected (zero variance)")]
NoSignal,
}
#[cfg(test)]
mod tests {
use super::*;
fn test_geometry() -> FresnelGeometry {
// TX 3m from body, body 2m from RX, 5 GHz WiFi
FresnelGeometry::new(3.0, 2.0, 5.0e9).unwrap()
}
#[test]
fn test_wavelength() {
let g = test_geometry();
let lambda = g.wavelength();
assert!((lambda - 0.06).abs() < 0.001); // 5 GHz → 60mm
}
#[test]
fn test_fresnel_radius() {
let g = test_geometry();
let f1 = g.fresnel_radius(1);
// F1 = sqrt(λ * d1 * d2 / (d1 + d2))
let lambda = g.wavelength(); // actual: 2.998e8 / 5e9 = 0.05996
let expected = (lambda * 3.0 * 2.0 / 5.0_f64).sqrt();
assert!((f1 - expected).abs() < 1e-6);
assert!(f1 > 0.1 && f1 < 0.5); // Reasonable range
}
#[test]
fn test_phase_change_from_displacement() {
let g = test_geometry();
// 5mm chest displacement at 5 GHz
let delta_phi = g.phase_change(0.005);
// ΔΦ = 2π * 2 * 0.005 / λ
let lambda = g.wavelength();
let expected = 2.0 * PI * 2.0 * 0.005 / lambda;
assert!((delta_phi - expected).abs() < 1e-6);
}
#[test]
fn test_amplitude_variation_breathing_range() {
let g = test_geometry();
// 5mm displacement should produce detectable variation
let var_5mm = g.expected_amplitude_variation(0.005);
assert!(var_5mm > 0.01, "5mm should produce measurable variation");
// 10mm should produce more variation
let var_10mm = g.expected_amplitude_variation(0.010);
assert!(var_10mm > var_5mm || (var_10mm - var_5mm).abs() < 0.1);
}
#[test]
fn test_breathing_confidence() {
let g = test_geometry();
let estimator = FresnelBreathingEstimator::new(g.clone());
// Signal matching expected breathing range → high confidence
let expected_var = g.expected_amplitude_variation(0.007);
let conf = estimator.breathing_confidence(expected_var);
assert!(conf > 0.5, "Expected breathing variation should give high confidence");
// Zero variation → low confidence
let conf_zero = estimator.breathing_confidence(0.0);
assert!(conf_zero < 0.5);
}
#[test]
fn test_breathing_rate_estimation() {
let g = test_geometry();
let estimator = FresnelBreathingEstimator::new(g);
// Generate 30 seconds of breathing signal at 16 BPM (0.267 Hz)
let sample_rate = 100.0; // Hz
let duration = 30.0;
let n = (sample_rate * duration) as usize;
let breathing_freq = 0.267; // 16 BPM
let signal: Vec<f64> = (0..n)
.map(|i| {
let t = i as f64 / sample_rate;
0.5 + 0.1 * (2.0 * PI * breathing_freq * t).sin()
})
.collect();
let result = estimator
.estimate_breathing_rate(&signal, sample_rate)
.unwrap();
// Should detect ~16 BPM (within 2 BPM tolerance)
assert!(
(result.rate_bpm - 16.0).abs() < 2.0,
"Expected ~16 BPM, got {:.1}",
result.rate_bpm
);
assert!(result.confidence > 0.3);
assert!(result.autocorrelation_peak > 0.5);
}
#[test]
fn test_invalid_geometry() {
assert!(FresnelGeometry::new(-1.0, 2.0, 5e9).is_err());
assert!(FresnelGeometry::new(1.0, 0.0, 5e9).is_err());
assert!(FresnelGeometry::new(1.0, 2.0, 0.0).is_err());
}
#[test]
fn test_insufficient_data() {
let g = test_geometry();
let estimator = FresnelBreathingEstimator::new(g);
let short_signal = vec![1.0; 5];
assert!(matches!(
estimator.estimate_breathing_rate(&short_signal, 100.0),
Err(FresnelError::InsufficientData { .. })
));
}
}

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@@ -0,0 +1,240 @@
//! Hampel Filter for robust outlier detection and removal.
//!
//! Uses running median and MAD (Median Absolute Deviation) instead of
//! mean/std, making it resistant to up to 50% contamination — unlike
//! Z-score methods where outliers corrupt the mean and mask themselves.
//!
//! # References
//! - Hampel (1974), "The Influence Curve and its Role in Robust Estimation"
//! - Used in WiGest (SenSys 2015), WiDance (MobiCom 2017)
/// Configuration for the Hampel filter.
#[derive(Debug, Clone)]
pub struct HampelConfig {
/// Half-window size (total window = 2*half_window + 1)
pub half_window: usize,
/// Threshold in units of estimated σ (typically 3.0)
pub threshold: f64,
}
impl Default for HampelConfig {
fn default() -> Self {
Self {
half_window: 3,
threshold: 3.0,
}
}
}
/// Result of Hampel filtering.
#[derive(Debug, Clone)]
pub struct HampelResult {
/// Filtered signal (outliers replaced with local median)
pub filtered: Vec<f64>,
/// Indices where outliers were detected
pub outlier_indices: Vec<usize>,
/// Local median values at each sample
pub medians: Vec<f64>,
/// Estimated local σ at each sample
pub sigma_estimates: Vec<f64>,
}
/// Scale factor converting MAD to σ for Gaussian distributions.
/// MAD = 0.6745 * σσ = MAD / 0.6745 = 1.4826 * MAD
const MAD_SCALE: f64 = 1.4826;
/// Apply Hampel filter to a 1D signal.
///
/// For each sample, computes the median and MAD of the surrounding window.
/// If the sample deviates from the median by more than `threshold * σ_est`,
/// it is replaced with the median.
pub fn hampel_filter(signal: &[f64], config: &HampelConfig) -> Result<HampelResult, HampelError> {
if signal.is_empty() {
return Err(HampelError::EmptySignal);
}
if config.half_window == 0 {
return Err(HampelError::InvalidWindow);
}
let n = signal.len();
let mut filtered = signal.to_vec();
let mut outlier_indices = Vec::new();
let mut medians = Vec::with_capacity(n);
let mut sigma_estimates = Vec::with_capacity(n);
for i in 0..n {
let start = i.saturating_sub(config.half_window);
let end = (i + config.half_window + 1).min(n);
let window: Vec<f64> = signal[start..end].to_vec();
let med = median(&window);
let mad = median_absolute_deviation(&window, med);
let sigma = MAD_SCALE * mad;
medians.push(med);
sigma_estimates.push(sigma);
let deviation = (signal[i] - med).abs();
let is_outlier = if sigma > 1e-15 {
// Normal case: compare deviation to threshold * sigma
deviation > config.threshold * sigma
} else {
// Zero-MAD case: all window values identical except possibly this sample.
// Any non-zero deviation from the median is an outlier.
deviation > 1e-15
};
if is_outlier {
filtered[i] = med;
outlier_indices.push(i);
}
}
Ok(HampelResult {
filtered,
outlier_indices,
medians,
sigma_estimates,
})
}
/// Apply Hampel filter to each row of a 2D array (e.g., per-antenna CSI).
pub fn hampel_filter_2d(
data: &[Vec<f64>],
config: &HampelConfig,
) -> Result<Vec<HampelResult>, HampelError> {
data.iter().map(|row| hampel_filter(row, config)).collect()
}
/// Compute median of a slice (sorts a copy).
fn median(data: &[f64]) -> f64 {
if data.is_empty() {
return 0.0;
}
let mut sorted = data.to_vec();
sorted.sort_by(|a, b| a.partial_cmp(b).unwrap_or(std::cmp::Ordering::Equal));
let mid = sorted.len() / 2;
if sorted.len() % 2 == 0 {
(sorted[mid - 1] + sorted[mid]) / 2.0
} else {
sorted[mid]
}
}
/// Compute MAD (Median Absolute Deviation) given precomputed median.
fn median_absolute_deviation(data: &[f64], med: f64) -> f64 {
let deviations: Vec<f64> = data.iter().map(|x| (x - med).abs()).collect();
median(&deviations)
}
/// Errors from Hampel filtering.
#[derive(Debug, thiserror::Error)]
pub enum HampelError {
#[error("Signal is empty")]
EmptySignal,
#[error("Half-window must be > 0")]
InvalidWindow,
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_clean_signal_unchanged() {
// A smooth sinusoid should have zero outliers
let signal: Vec<f64> = (0..100)
.map(|i| (i as f64 * 0.1).sin())
.collect();
let result = hampel_filter(&signal, &HampelConfig::default()).unwrap();
assert!(result.outlier_indices.is_empty());
for i in 0..signal.len() {
assert!(
(result.filtered[i] - signal[i]).abs() < 1e-10,
"Clean signal modified at index {}",
i
);
}
}
#[test]
fn test_single_spike_detected() {
let mut signal: Vec<f64> = vec![1.0; 50];
signal[25] = 100.0; // Huge spike
let result = hampel_filter(&signal, &HampelConfig::default()).unwrap();
assert!(result.outlier_indices.contains(&25));
assert!((result.filtered[25] - 1.0).abs() < 1e-10); // Replaced with median
}
#[test]
fn test_multiple_spikes() {
let mut signal: Vec<f64> = (0..200)
.map(|i| (i as f64 * 0.05).sin())
.collect();
// Insert spikes
signal[30] = 50.0;
signal[100] = -50.0;
signal[170] = 80.0;
let config = HampelConfig {
half_window: 5,
threshold: 3.0,
};
let result = hampel_filter(&signal, &config).unwrap();
assert!(result.outlier_indices.contains(&30));
assert!(result.outlier_indices.contains(&100));
assert!(result.outlier_indices.contains(&170));
}
#[test]
fn test_z_score_masking_resistance() {
// 50 clean samples + many outliers: Z-score would fail, Hampel should work
let mut signal: Vec<f64> = vec![0.0; 100];
// Insert 30% contamination (Z-score would be confused)
for i in (0..100).step_by(3) {
signal[i] = 50.0;
}
let config = HampelConfig {
half_window: 5,
threshold: 3.0,
};
let result = hampel_filter(&signal, &config).unwrap();
// The contaminated samples should be detected as outliers
assert!(!result.outlier_indices.is_empty());
}
#[test]
fn test_2d_filtering() {
let rows = vec![
vec![1.0, 1.0, 100.0, 1.0, 1.0, 1.0, 1.0],
vec![2.0, 2.0, 2.0, 2.0, -80.0, 2.0, 2.0],
];
let results = hampel_filter_2d(&rows, &HampelConfig::default()).unwrap();
assert_eq!(results.len(), 2);
assert!(results[0].outlier_indices.contains(&2));
assert!(results[1].outlier_indices.contains(&4));
}
#[test]
fn test_median_computation() {
assert!((median(&[1.0, 3.0, 2.0]) - 2.0).abs() < 1e-10);
assert!((median(&[1.0, 2.0, 3.0, 4.0]) - 2.5).abs() < 1e-10);
assert!((median(&[5.0]) - 5.0).abs() < 1e-10);
}
#[test]
fn test_empty_signal_error() {
assert!(matches!(
hampel_filter(&[], &HampelConfig::default()),
Err(HampelError::EmptySignal)
));
}
}

View File

@@ -31,10 +31,16 @@
//! let processor = CsiProcessor::new(config);
//! ```
pub mod bvp;
pub mod csi_processor;
pub mod csi_ratio;
pub mod features;
pub mod fresnel;
pub mod hampel;
pub mod motion;
pub mod phase_sanitizer;
pub mod spectrogram;
pub mod subcarrier_selection;
// Re-export main types for convenience
pub use csi_processor::{

View File

@@ -0,0 +1,299 @@
//! CSI Spectrogram Generation
//!
//! Constructs 2D time-frequency matrices via Short-Time Fourier Transform (STFT)
//! applied to temporal CSI amplitude streams. The resulting spectrograms are the
//! standard input format for CNN-based WiFi activity recognition.
//!
//! # References
//! - Used in virtually all CNN-based WiFi sensing papers since 2018
use ndarray::Array2;
use num_complex::Complex64;
use rustfft::FftPlanner;
use std::f64::consts::PI;
/// Configuration for spectrogram generation.
#[derive(Debug, Clone)]
pub struct SpectrogramConfig {
/// FFT window size (number of samples per frame)
pub window_size: usize,
/// Hop size (step between consecutive frames). Smaller = more overlap.
pub hop_size: usize,
/// Window function to apply
pub window_fn: WindowFunction,
/// Whether to compute power (magnitude squared) or magnitude
pub power: bool,
}
impl Default for SpectrogramConfig {
fn default() -> Self {
Self {
window_size: 256,
hop_size: 64,
window_fn: WindowFunction::Hann,
power: true,
}
}
}
/// Window function types.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum WindowFunction {
/// Rectangular (no windowing)
Rectangular,
/// Hann window (cosine-squared taper)
Hann,
/// Hamming window
Hamming,
/// Blackman window (lower sidelobe level)
Blackman,
}
/// Result of spectrogram computation.
#[derive(Debug, Clone)]
pub struct Spectrogram {
/// Power/magnitude values: rows = frequency bins, columns = time frames.
/// Only positive frequencies (0 to Nyquist), so rows = window_size/2 + 1.
pub data: Array2<f64>,
/// Number of frequency bins
pub n_freq: usize,
/// Number of time frames
pub n_time: usize,
/// Frequency resolution (Hz per bin)
pub freq_resolution: f64,
/// Time resolution (seconds per frame)
pub time_resolution: f64,
}
/// Compute spectrogram of a 1D signal.
///
/// Returns a time-frequency matrix suitable as CNN input.
pub fn compute_spectrogram(
signal: &[f64],
sample_rate: f64,
config: &SpectrogramConfig,
) -> Result<Spectrogram, SpectrogramError> {
if signal.len() < config.window_size {
return Err(SpectrogramError::SignalTooShort {
signal_len: signal.len(),
window_size: config.window_size,
});
}
if config.hop_size == 0 {
return Err(SpectrogramError::InvalidHopSize);
}
if config.window_size == 0 {
return Err(SpectrogramError::InvalidWindowSize);
}
let n_frames = (signal.len() - config.window_size) / config.hop_size + 1;
let n_freq = config.window_size / 2 + 1;
let window = make_window(config.window_fn, config.window_size);
let mut planner = FftPlanner::new();
let fft = planner.plan_fft_forward(config.window_size);
let mut data = Array2::zeros((n_freq, n_frames));
for frame in 0..n_frames {
let start = frame * config.hop_size;
let end = start + config.window_size;
// Apply window and convert to complex
let mut buffer: Vec<Complex64> = signal[start..end]
.iter()
.zip(window.iter())
.map(|(&s, &w)| Complex64::new(s * w, 0.0))
.collect();
fft.process(&mut buffer);
// Store positive frequencies
for bin in 0..n_freq {
let mag = buffer[bin].norm();
data[[bin, frame]] = if config.power { mag * mag } else { mag };
}
}
Ok(Spectrogram {
data,
n_freq,
n_time: n_frames,
freq_resolution: sample_rate / config.window_size as f64,
time_resolution: config.hop_size as f64 / sample_rate,
})
}
/// Compute spectrogram for each subcarrier from a temporal CSI matrix.
///
/// Input: `csi_temporal` is (num_samples × num_subcarriers) amplitude matrix.
/// Returns one spectrogram per subcarrier.
pub fn compute_multi_subcarrier_spectrogram(
csi_temporal: &Array2<f64>,
sample_rate: f64,
config: &SpectrogramConfig,
) -> Result<Vec<Spectrogram>, SpectrogramError> {
let (_, n_sc) = csi_temporal.dim();
let mut spectrograms = Vec::with_capacity(n_sc);
for sc in 0..n_sc {
let col: Vec<f64> = csi_temporal.column(sc).to_vec();
spectrograms.push(compute_spectrogram(&col, sample_rate, config)?);
}
Ok(spectrograms)
}
/// Generate a window function.
fn make_window(kind: WindowFunction, size: usize) -> Vec<f64> {
match kind {
WindowFunction::Rectangular => vec![1.0; size],
WindowFunction::Hann => (0..size)
.map(|i| 0.5 * (1.0 - (2.0 * PI * i as f64 / (size - 1) as f64).cos()))
.collect(),
WindowFunction::Hamming => (0..size)
.map(|i| 0.54 - 0.46 * (2.0 * PI * i as f64 / (size - 1) as f64).cos())
.collect(),
WindowFunction::Blackman => (0..size)
.map(|i| {
let n = (size - 1) as f64;
0.42 - 0.5 * (2.0 * PI * i as f64 / n).cos()
+ 0.08 * (4.0 * PI * i as f64 / n).cos()
})
.collect(),
}
}
/// Errors from spectrogram computation.
#[derive(Debug, thiserror::Error)]
pub enum SpectrogramError {
#[error("Signal too short ({signal_len} samples) for window size {window_size}")]
SignalTooShort { signal_len: usize, window_size: usize },
#[error("Hop size must be > 0")]
InvalidHopSize,
#[error("Window size must be > 0")]
InvalidWindowSize,
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_spectrogram_dimensions() {
let sample_rate = 100.0;
let signal: Vec<f64> = (0..1000)
.map(|i| (i as f64 / sample_rate * 2.0 * PI * 5.0).sin())
.collect();
let config = SpectrogramConfig {
window_size: 128,
hop_size: 32,
window_fn: WindowFunction::Hann,
power: true,
};
let spec = compute_spectrogram(&signal, sample_rate, &config).unwrap();
assert_eq!(spec.n_freq, 65); // 128/2 + 1
assert_eq!(spec.n_time, (1000 - 128) / 32 + 1); // 28 frames
assert_eq!(spec.data.dim(), (65, 28));
}
#[test]
fn test_single_frequency_peak() {
// A pure 10 Hz tone at 100 Hz sampling → peak at bin 10/100*256 ≈ bin 26
let sample_rate = 100.0;
let freq = 10.0;
let signal: Vec<f64> = (0..1024)
.map(|i| (2.0 * PI * freq * i as f64 / sample_rate).sin())
.collect();
let config = SpectrogramConfig {
window_size: 256,
hop_size: 128,
window_fn: WindowFunction::Hann,
power: true,
};
let spec = compute_spectrogram(&signal, sample_rate, &config).unwrap();
// Find peak frequency bin in the first frame
let frame = spec.data.column(0);
let peak_bin = frame
.iter()
.enumerate()
.max_by(|(_, a), (_, b)| a.partial_cmp(b).unwrap())
.map(|(i, _)| i)
.unwrap();
let peak_freq = peak_bin as f64 * spec.freq_resolution;
assert!(
(peak_freq - freq).abs() < spec.freq_resolution * 2.0,
"Peak at {:.1} Hz, expected {:.1} Hz",
peak_freq,
freq
);
}
#[test]
fn test_window_functions_symmetric() {
for wf in [
WindowFunction::Hann,
WindowFunction::Hamming,
WindowFunction::Blackman,
] {
let w = make_window(wf, 64);
for i in 0..32 {
assert!(
(w[i] - w[63 - i]).abs() < 1e-10,
"{:?} not symmetric at {}",
wf,
i
);
}
}
}
#[test]
fn test_rectangular_window_all_ones() {
let w = make_window(WindowFunction::Rectangular, 100);
assert!(w.iter().all(|&v| (v - 1.0).abs() < 1e-10));
}
#[test]
fn test_signal_too_short() {
let signal = vec![1.0; 10];
let config = SpectrogramConfig {
window_size: 256,
..Default::default()
};
assert!(matches!(
compute_spectrogram(&signal, 100.0, &config),
Err(SpectrogramError::SignalTooShort { .. })
));
}
#[test]
fn test_multi_subcarrier() {
let n_samples = 500;
let n_sc = 8;
let csi = Array2::from_shape_fn((n_samples, n_sc), |(t, sc)| {
let freq = 1.0 + sc as f64 * 0.5;
(2.0 * PI * freq * t as f64 / 100.0).sin()
});
let config = SpectrogramConfig {
window_size: 128,
hop_size: 64,
..Default::default()
};
let specs = compute_multi_subcarrier_spectrogram(&csi, 100.0, &config).unwrap();
assert_eq!(specs.len(), n_sc);
for spec in &specs {
assert_eq!(spec.n_freq, 65);
}
}
}

View File

@@ -0,0 +1,292 @@
//! Subcarrier Sensitivity Selection
//!
//! Ranks subcarriers by their response to human motion using variance ratio
//! (motion variance / static variance) and selects the top-K most sensitive
//! ones. This improves SNR by 6-10 dB compared to using all subcarriers.
//!
//! # References
//! - WiDance (MobiCom 2017)
//! - WiGest: Using WiFi Gestures for Device-Free Sensing (SenSys 2015)
use ndarray::Array2;
/// Configuration for subcarrier selection.
#[derive(Debug, Clone)]
pub struct SubcarrierSelectionConfig {
/// Number of top subcarriers to select
pub top_k: usize,
/// Minimum sensitivity ratio to include a subcarrier
pub min_sensitivity: f64,
}
impl Default for SubcarrierSelectionConfig {
fn default() -> Self {
Self {
top_k: 20,
min_sensitivity: 1.5,
}
}
}
/// Result of subcarrier selection.
#[derive(Debug, Clone)]
pub struct SubcarrierSelection {
/// Selected subcarrier indices (sorted by sensitivity, descending)
pub selected_indices: Vec<usize>,
/// Sensitivity scores for ALL subcarriers (variance ratio)
pub sensitivity_scores: Vec<f64>,
/// The filtered data matrix containing only selected subcarrier columns
pub selected_data: Option<Array2<f64>>,
}
/// Select the most motion-sensitive subcarriers using variance ratio.
///
/// `motion_data`: (num_samples × num_subcarriers) CSI amplitude during motion
/// `static_data`: (num_samples × num_subcarriers) CSI amplitude during static period
///
/// Sensitivity = var(motion[k]) / (var(static[k]) + ε)
pub fn select_sensitive_subcarriers(
motion_data: &Array2<f64>,
static_data: &Array2<f64>,
config: &SubcarrierSelectionConfig,
) -> Result<SubcarrierSelection, SelectionError> {
let (_, n_sc_motion) = motion_data.dim();
let (_, n_sc_static) = static_data.dim();
if n_sc_motion != n_sc_static {
return Err(SelectionError::SubcarrierCountMismatch {
motion: n_sc_motion,
statik: n_sc_static,
});
}
if n_sc_motion == 0 {
return Err(SelectionError::NoSubcarriers);
}
let n_sc = n_sc_motion;
let mut scores = Vec::with_capacity(n_sc);
for k in 0..n_sc {
let motion_var = column_variance(motion_data, k);
let static_var = column_variance(static_data, k);
let sensitivity = motion_var / (static_var + 1e-12);
scores.push(sensitivity);
}
// Rank by sensitivity (descending)
let mut ranked: Vec<(usize, f64)> = scores.iter().copied().enumerate().collect();
ranked.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
// Select top-K above minimum threshold
let selected: Vec<usize> = ranked
.iter()
.filter(|(_, score)| *score >= config.min_sensitivity)
.take(config.top_k)
.map(|(idx, _)| *idx)
.collect();
Ok(SubcarrierSelection {
selected_indices: selected,
sensitivity_scores: scores,
selected_data: None,
})
}
/// Select and extract data for sensitive subcarriers from a temporal matrix.
///
/// `data`: (num_samples × num_subcarriers) - the full CSI matrix to filter
/// `selection`: previously computed subcarrier selection
///
/// Returns a new matrix with only the selected columns.
pub fn extract_selected(
data: &Array2<f64>,
selection: &SubcarrierSelection,
) -> Result<Array2<f64>, SelectionError> {
let (n_samples, n_sc) = data.dim();
for &idx in &selection.selected_indices {
if idx >= n_sc {
return Err(SelectionError::IndexOutOfBounds { index: idx, max: n_sc });
}
}
if selection.selected_indices.is_empty() {
return Err(SelectionError::NoSubcarriersSelected);
}
let n_selected = selection.selected_indices.len();
let mut result = Array2::zeros((n_samples, n_selected));
for (col, &sc_idx) in selection.selected_indices.iter().enumerate() {
for row in 0..n_samples {
result[[row, col]] = data[[row, sc_idx]];
}
}
Ok(result)
}
/// Online subcarrier selection using only variance (no separate static period).
///
/// Ranks by absolute variance — high-variance subcarriers carry more
/// information about environmental changes.
pub fn select_by_variance(
data: &Array2<f64>,
config: &SubcarrierSelectionConfig,
) -> SubcarrierSelection {
let (_, n_sc) = data.dim();
let mut scores = Vec::with_capacity(n_sc);
for k in 0..n_sc {
scores.push(column_variance(data, k));
}
let mut ranked: Vec<(usize, f64)> = scores.iter().copied().enumerate().collect();
ranked.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
let selected: Vec<usize> = ranked
.iter()
.take(config.top_k)
.map(|(idx, _)| *idx)
.collect();
SubcarrierSelection {
selected_indices: selected,
sensitivity_scores: scores,
selected_data: None,
}
}
/// Compute variance of a single column in a 2D array.
fn column_variance(data: &Array2<f64>, col: usize) -> f64 {
let n = data.nrows() as f64;
if n < 2.0 {
return 0.0;
}
let col_data = data.column(col);
let mean: f64 = col_data.sum() / n;
col_data.iter().map(|x| (x - mean).powi(2)).sum::<f64>() / (n - 1.0)
}
/// Errors from subcarrier selection.
#[derive(Debug, thiserror::Error)]
pub enum SelectionError {
#[error("Subcarrier count mismatch: motion={motion}, static={statik}")]
SubcarrierCountMismatch { motion: usize, statik: usize },
#[error("No subcarriers in input")]
NoSubcarriers,
#[error("No subcarriers met selection criteria")]
NoSubcarriersSelected,
#[error("Subcarrier index {index} out of bounds (max {max})")]
IndexOutOfBounds { index: usize, max: usize },
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_sensitive_subcarriers_ranked() {
// 3 subcarriers: SC0 has high motion variance, SC1 low, SC2 medium
let motion = Array2::from_shape_fn((100, 3), |(t, sc)| match sc {
0 => (t as f64 * 0.1).sin() * 5.0, // high variance
1 => (t as f64 * 0.1).sin() * 0.1, // low variance
2 => (t as f64 * 0.1).sin() * 2.0, // medium variance
_ => 0.0,
});
let statik = Array2::from_shape_fn((100, 3), |(_, _)| 0.01);
let config = SubcarrierSelectionConfig {
top_k: 3,
min_sensitivity: 0.0,
};
let result = select_sensitive_subcarriers(&motion, &statik, &config).unwrap();
// SC0 should be ranked first (highest sensitivity)
assert_eq!(result.selected_indices[0], 0);
// SC2 should be second
assert_eq!(result.selected_indices[1], 2);
// SC1 should be last
assert_eq!(result.selected_indices[2], 1);
}
#[test]
fn test_top_k_limits_output() {
let motion = Array2::from_shape_fn((50, 20), |(t, sc)| {
(t as f64 * 0.05).sin() * (sc as f64 + 1.0)
});
let statik = Array2::from_elem((50, 20), 0.01);
let config = SubcarrierSelectionConfig {
top_k: 5,
min_sensitivity: 0.0,
};
let result = select_sensitive_subcarriers(&motion, &statik, &config).unwrap();
assert_eq!(result.selected_indices.len(), 5);
}
#[test]
fn test_min_sensitivity_filter() {
// All subcarriers have very low sensitivity
let motion = Array2::from_elem((50, 10), 1.0);
let statik = Array2::from_elem((50, 10), 1.0);
let config = SubcarrierSelectionConfig {
top_k: 10,
min_sensitivity: 2.0, // None will pass
};
let result = select_sensitive_subcarriers(&motion, &statik, &config).unwrap();
assert!(result.selected_indices.is_empty());
}
#[test]
fn test_extract_selected_columns() {
let data = Array2::from_shape_fn((10, 5), |(r, c)| (r * 5 + c) as f64);
let selection = SubcarrierSelection {
selected_indices: vec![1, 3],
sensitivity_scores: vec![0.0; 5],
selected_data: None,
};
let extracted = extract_selected(&data, &selection).unwrap();
assert_eq!(extracted.dim(), (10, 2));
// Column 0 of extracted should be column 1 of original
for r in 0..10 {
assert_eq!(extracted[[r, 0]], data[[r, 1]]);
assert_eq!(extracted[[r, 1]], data[[r, 3]]);
}
}
#[test]
fn test_variance_based_selection() {
let data = Array2::from_shape_fn((100, 5), |(t, sc)| {
(t as f64 * 0.1).sin() * (sc as f64 + 1.0)
});
let config = SubcarrierSelectionConfig {
top_k: 3,
min_sensitivity: 0.0,
};
let result = select_by_variance(&data, &config);
assert_eq!(result.selected_indices.len(), 3);
// SC4 (highest amplitude) should be first
assert_eq!(result.selected_indices[0], 4);
}
#[test]
fn test_mismatch_error() {
let motion = Array2::zeros((10, 5));
let statik = Array2::zeros((10, 3));
assert!(matches!(
select_sensitive_subcarriers(&motion, &statik, &SubcarrierSelectionConfig::default()),
Err(SelectionError::SubcarrierCountMismatch { .. })
));
}
}