What is the optimal filter?

1. What are optimal filters?
2. For what the optimum filter is used?
3. What is matched filter and optimum filter?
4. Why Wiener filter is called optimal filter?

What are optimal filters?

Optimal filtering is a means of adaptive extraction of a weak desired signal in the presence of noise and interfering signals. Mathematically: Given. x(n) = d(n) + v(n), estimate and extract d(n) from the current and past values of x(n).

For what the optimum filter is used?

An optimum filter is such a filter used for acquiring a best estimate of desired signal from noisy measurement. It is different from the classic filters like lowpass, highpass and bandpass filters.

What is matched filter and optimum filter?

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 Wiener filter is called optimal filter?

The Wiener filtering is optimal in terms of the mean square error. In other words, it minimizes the overall mean square error in the process of inverse filtering and noise smoothing.