Whitened Matched Filter

1. What is whitened matched filter?
2. What is a matched filter used for?
3. Why do we whiten signals?
4. What is matched filter with non white noise?

What is whitened matched filter?

A sample-whitened matched filter (SWMF) for a channel with intersymbol interference and additive white Gaussian noise is defined as a linear filter with the properties that its output samples are a sufficient statistic for the MAP estimation of the transmitted sequence and have uncorrelated noise components.

What is a matched filter used for?

The matched filter is the optimal linear filter for maximizing the signal-to-noise ratio (SNR) in the presence of additive stochastic noise. Matched filters are commonly used in radar, in which a known signal is sent out, and the reflected signal is examined for common elements of the out-going signal.

Why do we whiten signals?

Whitening and de-emphasis enhance the quality of the speech signal. This module is especially useful if constant "whistling" is present in the recording. The algorithm starts with finding the part of the recording that contains only noise and no speech signal.

What is matched filter with non white noise?

The MF (matched filter) is the optimum detector in white noise since it can maximize the output SNR (signal to noise ratio). However, the MF cannot maximize SNR if the noise is not white. So the optimum signal detector in non-white noise environment is proposed and its performance is analyzed in this paper.