Solution:

Matched 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 signal is sent out, and we measure the reflected signals, looking for something similar to what was sent out.

A general representation for a matched the filter is illustrated in Fig,

The matched filter is the optimal linear filter for maximizing the signal-to-noise ratio (SNR) in the presence of additive stochastic noise.

Different Types of Matched Filter:

Matched filters are classified into two types two dimensional (2D) and three dimensional (3D) matched filters which are discussed below.

2D Matched Filter:

The two-dimensional matched filter or 2D matched filter is used in SAR (Synthetic aperture radar) to enhance the SNR or signal to noise ratio however the gain of SNR of synthetic aperture radar is controversial.

The traditional technique examines the signal-to-noise ratio of SAR based on coherent integration & pulse compression; however, it will have diverse calculation results.

3D Matched Filter:

The 3D matched filter is a powerful processing technique used to detect moving, weak & optical targets that are immersed in a noise field.

This process uses the 3D processor to process the whole series of optical scene frames that include moving objects. So this processor must be matched properly to the object signature & its velocity vector, however, it will detect all objects simultaneously to which it is matched.