sdynpy.signal_processing.sdynpy_srs.window_compensation

• Module: sdynpy.signal_processing.sdynpy_srs

• Source: GitHub

Signature¶

def sdynpy.signal_processing.sdynpy_srs.window_compensation(x: numpy.ndarray, window: numpy.ndarray | float, sample_rate: float, delay: float = 0.0) -> Dict[str, numpy.ndarray]

Apply a compensation waveform to enforce zero terminal cumulative moments.

Parameters¶

• x : ndarray Input waveform with shape (n_samples,).

• window : ndarray or float If an array, it is used directly as the compensation window. If a scalar, it is interpreted as a compensation frequency and a Nuttall window is generated internally.

• sample_rate : float Sampling rate in samples per second.

• delay : float, default=0.0 Delay applied to the compensating waveform, in seconds.

Returns¶

• dict

• Dictionary containing:

• - "comp" : ndarray

• The compensating waveform.

• - "xc" : ndarray

• The compensated waveform.

• - "coefficients" : ndarray

• The three coefficients multiplying the DC, sine, and cosine

• compensation basis terms.

Notes¶

This function follows the numerical approach of MATLAB sdwcomp. The compensation is constructed from three basis terms: a windowed DC term, a windowed sine term, and a windowed cosine term. Their amplitudes are chosen so that the final cumulative sums corresponding to acceleration, velocity, and displacement-like integrals vanish.