Matched

How does matched filter output provide sufficient statistic when the channel has ISI + AWGN?

How does matched filter output provide sufficient statistic when the channel has ISI + AWGN?
  1. What are the advantages of matched filter?
  2. What determine the impulse response of a filter matched to this signal?
  3. On what factor the error probability of matched filter depends?
  4. What is the frequency response of matched filter?

What are the advantages of matched filter?

The matched filter is the most effective when the waveform of the signal to be detected is perfectly known and when the only interference present is white noise. The more flexible and robust technique of WT can be applied to on-site testing, where severe and more complex noise interference is present.

What determine the impulse response of a filter matched to this signal?

Impulse Response of Matched Filter

In time domain, we will get the output, h(t) of Matched filter receiver by applying the inverse Fourier transform of the frequency response function, H(f).

On what factor the error probability of matched filter depends?

3.4 The Matched Filter

Thus, the maximum output (S/N)T depends on the input signal energy and power spectral density of the noise, not on the particular shape of the waveform that is used.

What is the frequency response of matched filter?

Matched-Filter Receiver:

The frequency-response function, denoted H(f), expresses the relative amplitude and phase of the output of a network with respect to the input when the input is a pure sinusoid. The magnitude ׀H(f) ׀ of the frequency-response function is the receiver amplitude passband characteristic.

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