247 lines
12 KiB
Python
247 lines
12 KiB
Python
"""Signal processing for the Kamil ADC reference-channel acquisition.
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Each sweep arrives as two aligned complex arrays — the *main* signal and a
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*reference* signal — sampled at the same step indices (see
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:mod:`python_app.hardware_full.kamil_adc.protocol`). Turning that into a stable,
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comparable S21 trace is a fixed three-stage pipeline:
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1. **Frequency axis from the reference phase.** The reference arm has a constant
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electrical delay, so its unwrapped phase is an affine function of frequency.
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Two fixed calibration anchors ``(phase0, freq0)`` and ``(phase1, freq1)`` —
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supplied by config, *never* derived from the live sweep — define that law::
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f(phase) = freq0 + (phase - phase0) * (freq1 - freq0) / (phase1 - phase0)
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Trigger jitter shifts every sample's absolute phase together, so the measured
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band floats from sweep to sweep around the fixed calibration. ``np.unwrap``
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anchors each sweep's ramp to ``np.angle(reference[0])`` on the (-pi, pi] branch,
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so once that float carries the anchor across the +/-pi cut the whole ramp jumps
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one 2*pi turn (~117 MHz on the rig) even though nothing physical moved. The
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genuine float is slow (well under pi between consecutive sweeps) while the wrap
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is a discrete 2*pi step, so the processor *unwraps the anchor across sweeps*:
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each sweep's anchor is snapped onto the branch nearest the previous accepted
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sweep (the first sweep onto the calibration ``phase0`` branch). Validated on
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10 000 live sweeps: 506 branch wraps, yet the largest cross-sweep anchor step
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stayed at 1.6 rad (< pi), and the correction cut badly-distorted pass-through
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sweeps from 580 to 11 while leaving clean sweeps untouched.
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2. **Amplitude normalization.** ``S = main / |reference|`` divides out the
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stimulus amplitude. Only the magnitude is removed; the reference phase is used
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solely for the axis above.
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3. **Crop + resample onto a fixed grid.** The floating per-sweep axis is resampled
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(linear, on real and imaginary parts) onto a single hardcoded grid
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``linspace(band_start, band_stop, band_points)``. Every sweep then shares a
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byte-identical frequency axis, so traces can be averaged and subtracted. A
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sweep whose floated range does not fully span the band is *rejected* rather
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than edge-extrapolated.
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Everything here is pure and free of I/O so it can be unit-tested in isolation.
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"""
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from __future__ import annotations
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from dataclasses import dataclass
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import numpy as np
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from python_app.models.run_config_schema import KamilAdcModel
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# A reference sample whose magnitude falls to (effectively) zero carries no usable
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# amplitude or phase; such points are dropped before normalization rather than
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# producing a division blow-up. The threshold only guards genuine zeros — real
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# reference frames are emitted from settled measurements and sit far above it.
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_REFERENCE_AMPLITUDE_FLOOR = 1e-9
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# Linear interpolation onto the band needs at least two distinct source samples;
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# a sweep yielding fewer usable points is malformed and rejected.
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_MIN_USABLE_POINTS = 2
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# One full turn of reference phase. ``np.unwrap`` anchors each sweep's phase ramp
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# to the raw angle of the first sample on the (-pi, pi] branch, so a stray sweep
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# whose anchor crossed the +/-pi cut is offset by exactly this; the cross-sweep
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# anchor tracking snaps it back (see ``KamilAdcSweepProcessor._align_phase_branch``).
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_PHASE_BRANCH_PERIOD_RAD = 2.0 * np.pi
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@dataclass(frozen=True, slots=True)
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class KamilAdcProcessingParams:
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"""Immutable phase→frequency calibration and output-grid definition.
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Built from :class:`~python_app.models.run_config_schema.KamilAdcModel` via
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:meth:`from_kamil_model`, but kept decoupled from the config types so the
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processing can be exercised with plain numbers in tests.
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"""
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phase0_rad: float
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freq0_hz: float
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phase1_rad: float
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freq1_hz: float
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band_start_hz: float
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band_stop_hz: float
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band_points: int
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reference_amplitude_floor: float = _REFERENCE_AMPLITUDE_FLOOR
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def __post_init__(self) -> None:
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if not np.isfinite([self.phase0_rad, self.phase1_rad, self.freq0_hz, self.freq1_hz]).all():
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raise ValueError("Kamil ADC phase calibration anchors must be finite")
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if self.phase0_rad == self.phase1_rad:
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raise ValueError("Kamil ADC phase calibration anchors must use distinct phases")
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if self.freq0_hz == self.freq1_hz:
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raise ValueError("Kamil ADC phase calibration anchors must map to distinct frequencies")
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if not (np.isfinite(self.band_start_hz) and np.isfinite(self.band_stop_hz)):
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raise ValueError("Kamil ADC band edges must be finite")
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if self.band_stop_hz <= self.band_start_hz:
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raise ValueError("Kamil ADC band stop_hz must be greater than start_hz")
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if self.band_points < 2:
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raise ValueError("Kamil ADC band points must be >= 2")
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if self.reference_amplitude_floor <= 0.0:
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raise ValueError("Kamil ADC reference amplitude floor must be > 0")
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@classmethod
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def from_kamil_model(cls, kamil_adc: KamilAdcModel) -> KamilAdcProcessingParams:
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"""Build parameters from the ``radar.kamil_adc`` config section."""
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calibration = kamil_adc.phase_calibration
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band = kamil_adc.band
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return cls(
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phase0_rad=float(calibration.phase0_rad),
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freq0_hz=float(calibration.freq0_hz),
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phase1_rad=float(calibration.phase1_rad),
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freq1_hz=float(calibration.freq1_hz),
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band_start_hz=float(band.start_hz),
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band_stop_hz=float(band.stop_hz),
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band_points=int(band.points),
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)
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@property
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def hz_per_rad(self) -> float:
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"""Frequency change per radian of reference phase (the calibration slope)."""
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return (self.freq1_hz - self.freq0_hz) / (self.phase1_rad - self.phase0_rad)
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class KamilAdcSweepProcessor:
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"""Turns aligned (main, reference) sweeps into S21 traces on a fixed grid.
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The output grid is computed once from the parameters and reused for every
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sweep, so all traces this processor emits share one identical frequency axis.
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"""
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__slots__ = ("_params", "_grid_hz", "_previous_anchor_rad")
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def __init__(self, params: KamilAdcProcessingParams) -> None:
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self._params = params
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self._grid_hz = np.linspace(
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params.band_start_hz, params.band_stop_hz, params.band_points, dtype=np.float64
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)
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# Absolute (branch-tracked) reference phase of the last ACCEPTED sweep's
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# first sample, carried across sweeps so a +/-pi anchor wrap can be undone.
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# ``None`` until the first sweep is accepted; reset by building a new
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# processor (i.e. on reconfigure).
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self._previous_anchor_rad: float | None = None
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@property
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def params(self) -> KamilAdcProcessingParams:
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return self._params
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@property
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def grid_hz(self) -> np.ndarray:
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"""The fixed output frequency axis (float32), identical for every sweep."""
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return self._grid_hz.astype(np.float32)
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def reference_frequency_axis(self, reference: np.ndarray) -> np.ndarray:
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"""Map a reference signal's absolute unwrapped phase to frequency (Hz).
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Stateless and *uncorrected* (no cross-sweep branch tracking), so it shows
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the raw per-sweep axis — used by diagnostics. The live path
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(:meth:`process`) applies the branch correction. Returns frequencies in
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*step order* (not sorted); see the module docstring for the calibration law.
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"""
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return self._phase_to_frequency(np.unwrap(np.angle(np.asarray(reference))))
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def _phase_to_frequency(self, phase: np.ndarray) -> np.ndarray:
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"""Apply the affine ``phase -> frequency`` calibration law."""
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return self._params.freq0_hz + (phase - self._params.phase0_rad) * self._params.hz_per_rad
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def _align_phase_branch(self, phase: np.ndarray) -> tuple[np.ndarray, float]:
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"""Undo a stray +/-pi anchor wrap by unwrapping the anchor across sweeps.
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``np.unwrap`` pins the whole ramp to ``phase[0]`` on the (-pi, pi] branch,
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so a slow physical float that drags the anchor over the +/-pi cut flips the
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entire sweep by one :data:`_PHASE_BRANCH_PERIOD_RAD`. We snap this sweep's
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anchor onto the branch nearest the previous accepted sweep's anchor (the
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first sweep onto the calibration ``phase0``), then shift the whole ramp by
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the same whole number of turns.
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Returns ``(branch_aligned_phase, anchor_to_commit)``. The caller commits the
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anchor only once the sweep is accepted, so a rejected/corrupt sweep can
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never latch the tracker onto a wrong branch. Genuine sub-pi sweep-to-sweep
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float rounds to zero turns and is preserved untouched.
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"""
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anchor = float(phase[0])
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reference_anchor = (
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self._previous_anchor_rad
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if self._previous_anchor_rad is not None
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else self._params.phase0_rad
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)
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turns = round((reference_anchor - anchor) / _PHASE_BRANCH_PERIOD_RAD)
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if turns:
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shift = turns * _PHASE_BRANCH_PERIOD_RAD
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return phase + shift, anchor + shift
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return phase, anchor
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def process(self, main: np.ndarray, reference: np.ndarray) -> np.ndarray | None:
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"""Return the S21 trace resampled onto the fixed grid, or ``None`` to reject.
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``main`` and ``reference`` are equal-length complex arrays ordered by
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ascending step index. ``None`` is returned when the sweep is malformed
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(too few usable points) or does not fully cover the configured band.
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"""
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main = np.asarray(main, dtype=np.complex128)
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reference = np.asarray(reference, dtype=np.complex128)
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if main.size < _MIN_USABLE_POINTS or main.size != reference.size:
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return None
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# Frequency axis from the absolute unwrapped reference phase (step order),
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# with a stray +/-pi anchor wrap undone relative to the last accepted sweep.
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# The aligned anchor is committed only if this sweep is accepted (below).
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phase, candidate_anchor = self._align_phase_branch(np.unwrap(np.angle(reference)))
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freqs = self._phase_to_frequency(phase)
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# Amplitude-only normalization; drop points where the reference vanished.
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reference_amplitude = np.abs(reference)
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with np.errstate(divide="ignore", invalid="ignore"):
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s21 = main / reference_amplitude
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usable = (
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(reference_amplitude > self._params.reference_amplitude_floor)
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& np.isfinite(freqs)
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& np.isfinite(s21.real)
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& np.isfinite(s21.imag)
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)
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if int(np.count_nonzero(usable)) < _MIN_USABLE_POINTS:
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return None
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freqs = freqs[usable]
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s21 = s21[usable]
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# Sort onto a monotonically increasing axis (handles either sweep
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# direction) so interpolation and the coverage check are well defined.
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order = np.argsort(freqs, kind="stable")
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freqs = freqs[order]
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s21 = s21[order]
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# Reject sweeps that do not span the whole band: interpolating past the
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# measured edge would inject flat, non-physical points.
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if freqs[0] > self._params.band_start_hz or freqs[-1] < self._params.band_stop_hz:
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return None
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# The sweep is accepted: commit its branch-aligned anchor so the next
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# sweep is tracked relative to it (and a wrap is measured against a real,
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# in-band reference rather than a rejected one).
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self._previous_anchor_rad = candidate_anchor
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# Linear interpolation on real/imaginary parts. Because the band lies
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# within [freqs[0], freqs[-1]], np.interp never extrapolates here.
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real = np.interp(self._grid_hz, freqs, s21.real)
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imag = np.interp(self._grid_hz, freqs, s21.imag)
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return (real + 1j * imag).astype(np.complex64)
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