Matched Filter of Gaussian Signal

1. What is matched filtering in gravitational waves?
2. What is matched filter detection?
3. How does matched filter increase SNR?
4. What is the difference between matched filter and non matched filter?

What is matched filtering in gravitational waves?

The aim of matched filtering is to see if the data contains any signals similar to a template bank member. Since our templates should describe the gravitational waveforms for the range of different merging systems that we expect to be able to see, any sufficiently loud signal should be found by this method.

What is matched filter detection?

2 Matched filter detection method. The matched filter (MF) technique is an optimum method to sense availability of spectrum since the MF can maximize the SNR even if there is additive white Gaussian noise (AWGN). This feature is accomplished via correlation process inherent of the method.

How does matched filter increase SNR?

The matched filter improves the SNR by reducing the noise's spectral bandwidth to that of the wavelet, and in addition, reduces the noise within the wavelet's bandwidth by the shape of the wavelet's spectrum.

What is the difference between matched filter and non matched filter?

The noncoherent matched filter has impulse response derived from the transmitted pulse shape, and when the pulse shape is a passband signal the matched filter impulse response my have initial phase not equal to the initial phase of the pulse shape waveform.