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13747e9 a79a9aa 13747e9 a79a9aa 13747e9 a79a9aa 13747e9 7dda26b 13747e9 7dda26b 13747e9 aa56214 710afb8 13747e9 aa56214 710afb8 13747e9 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 | """Phyphox sensor pipeline for Human Activity Recognition.
Converts raw Phyphox accelerometer + gyroscope CSV exports into the
561-feature vector expected by the UCI HAR classifier.
Feature order matches features.txt exactly:
1-200 : time-domain 3-axis signals (5 signals × 40 features)
201-265 : time-domain magnitudes (5 signals × 13 features)
266-502 : frequency-domain 3-axis (3 signals × 79 features)
503-554 : frequency-domain magnitudes (4 signals × 13 features)
555-561 : angle features (7 features)
"""
import io
import numpy as np
import pandas as pd
from scipy import signal as sp_signal
from scipy.stats import skew, kurtosis as sp_kurtosis
FS = 50 # target sampling rate Hz
WINDOW = 128 # samples per window (2.56 s)
STEP = 64 # hop size — 50% overlap
AR_ORDER = 4 # Burg AR model order
# 14 frequency band pairs (1-indexed, inclusive) applied per axis
BANDS = [
(1, 8), (9, 16), (17, 24), (25, 32), (33, 40), (41, 48),
(49, 56), (57, 64), (1, 16), (17, 32), (33, 48), (49, 64),
(1, 24), (25, 48),
]
ACC_COLS = ["Time (s)", "X (m/s^2)", "Y (m/s^2)", "Z (m/s^2)"]
GYRO_COLS = ["Time (s)", "X (rad/s)", "Y (rad/s)", "Z (rad/s)"]
def _parse_csv(file_obj, expected_cols: list) -> pd.DataFrame:
"""Parse a Phyphox CSV export and validate required columns.
Args:
file_obj: file-like object (bytes or str) from Phyphox export
expected_cols: list of required column names
Returns:
DataFrame with numeric data, NaN rows dropped
Raises:
ValueError: if columns are missing or file cannot be parsed
"""
try:
raw = file_obj.read()
if isinstance(raw, bytes):
raw = raw.decode("utf-8")
df = pd.read_csv(io.StringIO(raw), float_precision="high")
except Exception as exc:
raise ValueError(f"Cannot parse CSV: {exc}") from exc
df.columns = [c.strip('"').strip() for c in df.columns]
missing = [c for c in expected_cols if c not in df.columns]
if missing:
raise ValueError(
f"Missing columns {missing}. Found: {list(df.columns)}. "
"Check you uploaded the correct Phyphox CSV (Accelerometer or Gyroscope)."
)
return df[expected_cols].apply(pd.to_numeric, errors="coerce").dropna()
def _butter_lp(data: np.ndarray, cutoff: float, fs: float = FS, order: int = 3) -> np.ndarray:
"""Zero-phase Butterworth low-pass filter applied along axis 0.
Args:
data: 1-D or 2-D array
cutoff: cutoff frequency in Hz
fs: sampling rate in Hz
order: filter order
Returns:
Filtered array, same shape as input
"""
b, a = sp_signal.butter(order, cutoff / (fs / 2.0), btype="low")
# Use maximum safe padding — critical for low cutoffs (e.g. 0.3 Hz needs
# ~167 samples to settle; scipy's default 9-sample pad is far too short).
padlen = min(len(data) - 1, max(3 * int(fs / cutoff), 9))
if data.ndim == 1:
return sp_signal.filtfilt(b, a, data, padlen=padlen)
return np.column_stack(
[sp_signal.filtfilt(b, a, data[:, i], padlen=padlen) for i in range(data.shape[1])]
)
def _median_filt(data: np.ndarray, k: int = 3) -> np.ndarray:
"""Median filter applied along axis 0.
Args:
data: 1-D or 2-D array
k: kernel size (must be odd)
Returns:
Filtered array, same shape as input
"""
if data.ndim == 1:
return sp_signal.medfilt(data, kernel_size=k)
return np.column_stack(
[sp_signal.medfilt(data[:, i], kernel_size=k) for i in range(data.shape[1])]
)
def _burg_ar(x: np.ndarray, order: int = AR_ORDER) -> np.ndarray:
"""Burg method autoregressive coefficients.
Implements the standard Burg recursion with Levinson-Durbin update.
Mean-centres the signal before fitting.
Args:
x: 1-D signal array
order: AR model order
Returns:
Array of `order` AR coefficients [a1, a2, ..., ap]
"""
x = np.asarray(x, dtype=np.float64)
x = x - x.mean()
N = len(x)
ef = x.copy()
eb = x.copy()
a = np.zeros(order)
for m in range(1, order + 1):
f = ef[m:].copy()
b = eb[m - 1: N - 1].copy()
denom = np.dot(f, f) + np.dot(b, b) + 1e-12
km = -2.0 * np.dot(f, b) / denom
# Levinson-Durbin update of AR polynomial
a_prev = a[:m - 1].copy()
for j in range(m - 1):
a[j] = a_prev[j] + km * a_prev[m - 2 - j]
a[m - 1] = km
# Update forward/backward prediction errors
ef[m:] = f + km * b
eb[m - 1: N - 1] = b + km * f
return a
def _entropy(x: np.ndarray) -> float:
"""Normalised signal entropy via absolute-value probability distribution.
Args:
x: 1-D array
Returns:
Entropy value (>= 0)
"""
total = np.abs(x).sum()
if total < 1e-12:
return 0.0
p = np.abs(x) / total
p = p[p > 0]
return float(-np.sum(p * np.log(p)))
def _bands_energy(fft_mag: np.ndarray) -> np.ndarray:
"""Energy in each of the 14 UCI HAR frequency bands (1-indexed, inclusive).
Args:
fft_mag: FFT magnitude array, must contain at least 64 values
Returns:
Array of 14 energy values
"""
m = fft_mag[:64]
return np.array([float(np.sum(m[s - 1: e] ** 2)) for s, e in BANDS])
def _safe_corr(a: np.ndarray, b: np.ndarray) -> float:
"""Pearson correlation, returns 0.0 if either signal is constant.
Args:
a: first 1-D array
b: second 1-D array
Returns:
Correlation coefficient in [-1, 1]
"""
if a.std() < 1e-10 or b.std() < 1e-10:
return 0.0
r = np.corrcoef(a, b)[0, 1]
return 0.0 if not np.isfinite(r) else float(r)
def _angle(u: np.ndarray, v: np.ndarray) -> float:
"""Angle in radians between two 3-D vectors.
Args:
u: first vector, shape (3,)
v: second vector, shape (3,)
Returns:
Angle in radians, or 0.0 if either vector is zero
"""
un, vn = np.linalg.norm(u), np.linalg.norm(v)
if un < 1e-10 or vn < 1e-10:
return 0.0
return float(np.arccos(np.clip(np.dot(u, v) / (un * vn), -1.0, 1.0)))
def _t3ax(sig: np.ndarray) -> np.ndarray:
"""40 time-domain features from a 3-axis signal (N, 3).
Order: mean×3, std×3, mad×3, max×3, min×3, sma,
energy×3, iqr×3, entropy×3, arCoeff×12, correlation×3
"""
N = len(sig)
x, y, z = sig[:, 0], sig[:, 1], sig[:, 2]
out = []
out += [x.mean(), y.mean(), z.mean()]
out += [x.std(), y.std(), z.std()]
out += [
float(np.median(np.abs(x - np.median(x)))),
float(np.median(np.abs(y - np.median(y)))),
float(np.median(np.abs(z - np.median(z)))),
]
out += [x.max(), y.max(), z.max()]
out += [x.min(), y.min(), z.min()]
out += [float((np.abs(x) + np.abs(y) + np.abs(z)).sum() / N)] # sma
out += [float(np.sum(x ** 2) / N), float(np.sum(y ** 2) / N), float(np.sum(z ** 2) / N)]
out += [
float(np.percentile(x, 75) - np.percentile(x, 25)),
float(np.percentile(y, 75) - np.percentile(y, 25)),
float(np.percentile(z, 75) - np.percentile(z, 25)),
]
out += [_entropy(x), _entropy(y), _entropy(z)]
out += _burg_ar(x).tolist()
out += _burg_ar(y).tolist()
out += _burg_ar(z).tolist()
out += [_safe_corr(x, y), _safe_corr(x, z), _safe_corr(y, z)]
return np.array(out, dtype=np.float64) # 40 values
def _tmag(sig: np.ndarray) -> np.ndarray:
"""13 time-domain features from a 1-D magnitude signal.
Order: mean, std, mad, max, min, sma, energy, iqr, entropy, arCoeff×4
"""
N = len(sig)
out = [
float(sig.mean()),
float(sig.std()),
float(np.median(np.abs(sig - np.median(sig)))),
float(sig.max()),
float(sig.min()),
float(np.abs(sig).sum() / N), # sma (1-D)
float(np.sum(sig ** 2) / N), # energy
float(np.percentile(sig, 75) - np.percentile(sig, 25)),
_entropy(sig),
]
out += _burg_ar(sig).tolist()
return np.array(out, dtype=np.float64) # 13 values
def _f3ax(sig: np.ndarray) -> np.ndarray:
"""79 frequency-domain features from a 3-axis signal (N, 3).
Order: mean×3, std×3, mad×3, max×3, min×3, sma,
energy×3, iqr×3, entropy×3,
maxInds×3, meanFreq×3,
(skewness, kurtosis)×3 interleaved,
bandsEnergy×14 per axis (×3 axes = 42)
"""
x, y, z = sig[:, 0], sig[:, 1], sig[:, 2]
def _fft(s):
return np.abs(np.fft.rfft(s))[:64]
fx, fy, fz = _fft(x), _fft(y), _fft(z)
bins = np.arange(1, 65, dtype=np.float64) # 1-indexed bin numbers
def _mfreq(fm):
t = fm.sum()
return float(np.dot(bins[:len(fm)], fm) / t) if t > 1e-12 else 0.0
def _maxinds(fm):
return float(np.argmax(fm) + 1) # 1-indexed
out = []
out += [fx.mean(), fy.mean(), fz.mean()]
out += [fx.std(), fy.std(), fz.std()]
out += [
float(np.median(np.abs(fx - np.median(fx)))),
float(np.median(np.abs(fy - np.median(fy)))),
float(np.median(np.abs(fz - np.median(fz)))),
]
out += [fx.max(), fy.max(), fz.max()]
out += [fx.min(), fy.min(), fz.min()]
n = len(fx)
out += [float((fx + fy + fz).sum() / n)] # sma of FFT mags
out += [float(np.sum(fx ** 2) / n), float(np.sum(fy ** 2) / n), float(np.sum(fz ** 2) / n)]
out += [
float(np.percentile(fx, 75) - np.percentile(fx, 25)),
float(np.percentile(fy, 75) - np.percentile(fy, 25)),
float(np.percentile(fz, 75) - np.percentile(fz, 25)),
]
out += [_entropy(fx), _entropy(fy), _entropy(fz)]
out += [_maxinds(fx), _maxinds(fy), _maxinds(fz)]
out += [_mfreq(fx), _mfreq(fy), _mfreq(fz)]
# skewness/kurtosis interleaved per axis (skX,kurX, skY,kurY, skZ,kurZ)
out += [float(skew(fx)), float(sp_kurtosis(fx))]
out += [float(skew(fy)), float(sp_kurtosis(fy))]
out += [float(skew(fz)), float(sp_kurtosis(fz))]
out += _bands_energy(fx).tolist()
out += _bands_energy(fy).tolist()
out += _bands_energy(fz).tolist()
return np.array(out, dtype=np.float64) # 79 values
def _fmag(sig: np.ndarray) -> np.ndarray:
"""13 frequency-domain features from a 1-D magnitude signal.
Order: mean, std, mad, max, min, sma, energy, iqr, entropy,
maxInds, meanFreq, skewness, kurtosis
"""
fm = np.abs(np.fft.rfft(sig))[:64]
n = len(fm)
bins = np.arange(1, n + 1, dtype=np.float64)
total = fm.sum()
out = [
float(fm.mean()),
float(fm.std()),
float(np.median(np.abs(fm - np.median(fm)))),
float(fm.max()),
float(fm.min()),
float(np.abs(fm).sum() / n),
float(np.sum(fm ** 2) / n),
float(np.percentile(fm, 75) - np.percentile(fm, 25)),
_entropy(fm),
float(np.argmax(fm) + 1), # maxInds (1-indexed)
float(np.dot(bins, fm) / total) if total > 1e-12 else 0.0, # meanFreq
float(skew(fm)),
float(sp_kurtosis(fm)),
]
return np.array(out, dtype=np.float64) # 13 values
def _window_features(
body_acc: np.ndarray,
grav_acc: np.ndarray,
body_jerk: np.ndarray,
gyro: np.ndarray,
gyro_jerk: np.ndarray,
) -> np.ndarray:
"""Extract all 561 features from one pre-processed window.
Args:
body_acc: body linear acceleration (128, 3) m/s²
grav_acc: gravity component (128, 3) m/s²
body_jerk: body jerk (127, 3) m/s³
gyro: angular velocity (128, 3) rad/s
gyro_jerk: gyro jerk (127, 3) rad/s²
Returns:
1-D array of 561 features
"""
# Magnitudes
ba_mag = np.linalg.norm(body_acc, axis=1)
ga_mag = np.linalg.norm(grav_acc, axis=1)
bj_mag = np.linalg.norm(body_jerk, axis=1)
gy_mag = np.linalg.norm(gyro, axis=1)
gj_mag = np.linalg.norm(gyro_jerk, axis=1)
parts = []
# Time 3-axis (5 × 40 = 200)
for sig in [body_acc, grav_acc, body_jerk, gyro, gyro_jerk]:
parts.append(_t3ax(sig))
# Time magnitudes (5 × 13 = 65)
for mag in [ba_mag, ga_mag, bj_mag, gy_mag, gj_mag]:
parts.append(_tmag(mag))
# Freq 3-axis (3 × 79 = 237)
for sig in [body_acc, body_jerk, gyro]:
parts.append(_f3ax(sig))
# Freq magnitudes (4 × 13 = 52)
for mag in [ba_mag, bj_mag, gy_mag, gj_mag]:
parts.append(_fmag(mag))
# Angle features (7)
ba_mean = body_acc.mean(axis=0)
ga_mean = grav_acc.mean(axis=0)
bj_mean = body_jerk.mean(axis=0)
gy_mean = gyro.mean(axis=0)
gj_mean = gyro_jerk.mean(axis=0)
parts.append(np.array([
_angle(ba_mean, ga_mean),
_angle(bj_mean, ga_mean),
_angle(gy_mean, ga_mean),
_angle(gj_mean, ga_mean),
_angle(np.array([1.0, 0.0, 0.0]), ga_mean),
_angle(np.array([0.0, 1.0, 0.0]), ga_mean),
_angle(np.array([0.0, 0.0, 1.0]), ga_mean),
]))
result = np.concatenate(parts)
assert result.shape == (561,), f"Feature count error: got {result.shape[0]}, expected 561"
return result
def process_phyphox_files(
acc_file,
gyro_file,
) -> tuple:
"""Convert Phyphox CSV exports to (n_windows, 561) feature array.
Pipeline:
1. Parse + validate both CSVs
2. Convert accelerometer from m/s² to g (÷ 9.80665) to match UCI training units
3. Interpolate onto common 50 Hz grid
4. Segment: 128-sample windows, 64-sample hop (50% overlap)
5. Per window: median filter → 20 Hz Butterworth → gravity separation
at 0.3 Hz → jerk → magnitudes → 561 features
Args:
acc_file: file-like object — Phyphox Accelerometer CSV
(columns: Time (s), X (m/s^2), Y (m/s^2), Z (m/s^2))
gyro_file: file-like object — Phyphox Gyroscope CSV
(columns: Time (s), X (rad/s), Y (rad/s), Z (rad/s))
Returns:
Tuple of:
np.ndarray shape (n_windows, 561) — raw (un-normalised) features
list[str] — warning messages
Raises:
ValueError: invalid format, wrong columns, or < 3 s of data
"""
warnings: list = []
acc_df = _parse_csv(acc_file, ACC_COLS)
gyro_df = _parse_csv(gyro_file, GYRO_COLS)
acc_t = acc_df["Time (s)"].values
acc_xyz = acc_df[["X (m/s^2)", "Y (m/s^2)", "Z (m/s^2)"]].values / 9.80665 # m/s² → g
gyro_t = gyro_df["Time (s)"].values
gyro_xyz = gyro_df[["X (rad/s)", "Y (rad/s)", "Z (rad/s)"]].values
t0 = max(acc_t[0], gyro_t[0])
t1 = min(acc_t[-1], gyro_t[-1])
duration = t1 - t0
if duration < 3.0:
raise ValueError(
f"Recording is {duration:.2f} s — minimum 3 seconds required. "
"Hold the phone still or walk for at least 3 seconds before exporting."
)
t_grid = np.arange(t0, t1, 1.0 / FS)
am = (acc_t >= t0) & (acc_t <= t1)
gm = (gyro_t >= t0) & (gyro_t <= t1)
acc_50 = np.column_stack(
[np.interp(t_grid, acc_t[am], acc_xyz[am, i]) for i in range(3)]
)
gyro_50 = np.column_stack(
[np.interp(t_grid, gyro_t[gm], gyro_xyz[gm, i]) for i in range(3)]
)
n = min(len(acc_50), len(gyro_50))
acc_50, gyro_50 = acc_50[:n], gyro_50[:n]
n_windows = max(0, (n - WINDOW) // STEP + 1)
if n_windows == 0:
raise ValueError(
f"Only {n} samples ({n / FS:.1f} s) after alignment — "
f"need at least {WINDOW} samples ({WINDOW / FS:.1f} s)."
)
if duration > 60:
warnings.append(f"Long recording ({duration:.0f} s) — {n_windows} windows extracted.")
# Apply noise filters to the full signal before windowing.
acc_50 = _butter_lp(_median_filt(acc_50), cutoff=20.0)
gyro_50 = _butter_lp(_median_filt(gyro_50), cutoff=20.0)
all_features = []
dt = 1.0 / FS
for start in range(0, n - WINDOW + 1, STEP):
end = start + WINDOW
aw = acc_50[start:end] # (128, 3)
gw = gyro_50[start:end] # (128, 3)
# Gravity separation: window mean as gravity estimate.
# The UCI pipeline used a 0.3 Hz LP on a full continuous recording.
# That filter needs ~167 samples to settle; a 10-second clip gives only
# ~500 samples total, so the filter corrupts all but the central window.
# The window mean is equivalent for symmetric activities (oscillations
# cancel over a stride cycle) and exact for static activities.
grav = np.tile(aw.mean(axis=0), (WINDOW, 1))
body = aw - grav
# Jerk: finite difference → (127, 3)
body_jerk = np.diff(body, axis=0) / dt
gyro_jerk = np.diff(gw, axis=0) / dt
all_features.append(_window_features(body, grav, body_jerk, gw, gyro_jerk))
return np.array(all_features), warnings
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