About understanding a Matched Filter

1. What do you understand by matched filter?
2. What are the characteristics of matched filter?
3. Why matched filter is required?
4. What are the applications of matched filter?

What do you understand by matched filter?

A matched filter is a linear filter designed to provide the maximum SNR at its output for a given transmitted symbol waveform. We refer to Figure 3.1 for the ratio of instantaneous signal power to average noise power at time t = T; out of the receiver block 1, the following results: (3.19)

What are the characteristics of matched filter?

If a filter produces an output in such a way that it maximizes the ratio of output peak power to mean noise power in its frequency response, then that filter is called Matched filter. This is an important criterion, which is considered while designing any Radar receiver.

Why matched filter is required?

Reasons for Using Matched Filtering

You can see from the results in Receiver Operating Characteristics that the probability of detection increases with increasing SNR. For a deterministic signal in white Gaussian noise, you can maximize the SNR at the receiver by using a filter matched to the signal.

What are the applications of matched filter?

Matched-filtering is a theoretically optimum detection technique for extracting a transmitted signal from an observed, corrupted by noise signal. If the noise spectrum is white, the matched filter is the time-reversed signal (Van Trees 2003).