filter_and_resample_pwc

Graph.filter_and_resample_pwc(pwc, kernel, segment_count, duration=None, *, name=None)

Filter a piecewise-constant function by convolving it with a kernel and resample it again.

Parameters

• pwc (Pwc) – The piecewise-constant function $\alpha(t)$
• kernel (ConvolutionKernel) – The node representing the kernel $K(t)$
• segment_count (int) – The number of segments of the resampled filtered function.
• duration (float or None , optional) – Force the resulting piecewise-constant function to have a certain duration. This option is mainly to avoid floating point errors when the total duration is too small. Defaults to the sum of segment durations of pwc.
• name (str or None , optional) – The name of the node.

Returns

The filtered and resampled piecewise-constant function.

Return type

Pwc

SEE ALSO

Graph.convolve_pwc : Create the convolution of a piecewise-constant function with a kernel.

Graph.discretize_stf : Create a piecewise-constant function by discretizing a sampleable function.

Graph.sinc_convolution_kernel : Create a convolution kernel representing the sinc function.

Notes

The convolution is

Convolution in the time domain is equivalent to multiplication in the frequency domain, so this function can be viewed as applying a linear time-invariant filter (specified via its time domain kernel $K(t)$) to $\alpha(t)$