We have presented the techniques of radar signal detection, as well as the related performance analyses. The

following conclusions can be drawn.

• Among various detection criteria, the Neyman-Pearson criterion is particularly well suited to radar detec­tion, owing to its concepts of a priori fixed Pfa and maximized Pd.

• The coherent detection, in the form of a matched filter or a cross-correlation, is the optimal detection for an exactly known signal (i. e., phase, amplitude, and Doppler frequency are known) in a background of white noise.

• In a typical radar application, the range between the target and the radar represents a very large number of transmitted signal wavelengths. This makes specifying the phase of the return signal extremely difficult, and a noncoherent detection has to be used.

• The noncoherent detection is inferior to the coherent detection for low input signal-to-noise ratios and approximates the coherent detection for high input signal-to-noise ratios.

• There is an inherent conflict between long-range detection and high-range-resolution capability for the unity time-bandwidth signal. Large time-bandwidth signals such as an LFM signal do not have such a conflict.

• Large time-bandwidth signals can be described by the ambiguity function or the Wigner-Ville distribution. The Radon-ambiguity transform can be used to detect multiple LFM signals.

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