Matched

Determining signal using Optimal receiver(Matched filter)

Determining signal using Optimal receiver(Matched filter)
  1. How does the optimal receiver measure the received signal?
  2. Why matched filter is used in the receiver?
  3. How do you find the output of a matched filter?
  4. Is matched filter an optimum filter?

How does the optimal receiver measure the received signal?

The optimal receiver can be separated into two stages, a detector, which filters and samples the received signal, and a decision device, which uses the samples to make its decision. Detector – extracts a set of “sufficient statistics” from rc(t).

Why matched filter is used in the receiver?

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.

How do you find the output of a matched filter?

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).

Is matched filter an optimum filter?

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).

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