Target Detection
1 Introduction
Radar systems transmit signals and receive echo waves to detect targets as well as
ranging them. The echo waves always contain noises, which has made it uncertain to
detect targets. This can be classified into various detection problems.
2 Basic theories
The detection problem can be modeled as a binary hypothesis problem:
Where n~ N (0, 1).
For each sample, there is only one case happening among the four cases:
The probability of detection and false alarm can be shown below:
In classical detection problems, we usually use a fixed threshold decided by a fixed
false alarm rate
FA
P
to detect the signals
