Autocorrelation constraints in radar waveform optimization for detection

Autocorrelation constraints in radar waveform optimization for detection

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In this chapter, we consider the design of radar transmit waveforms that are optimal for the purpose of detecting multiple unknown targets in a known interference environment. Specifically, we introduce constraints on the waveform's autocorrelation function, which is of fundamental importance in practice. The incorporation of autocorrelation constraints leaves the problem analytically intractable, and numeric techniques must be employed. We introduce the concept of `waveform-optimized performance' in order to provide a framework for suggesting and analysing various waveform designs. In this context, the eigenfunction waveforms and Neyman-Pearson detectors found elsewhere might no longer be optimal.

Inspec keywords: object detection; eigenvalues and eigenfunctions; radar detection; interference (signal); waveform analysis; nonlinear programming

Other keywords: radar waveform optimization; waveform autocorrelation function; interference environment; autocorrelation constraints; eigenfunction waveforms; waveform designs; radar transmit waveforms; radar detection; waveform-optimized performance; numeric techniques; multiple unknown targets detection; Neyman-Pearson detectors

Subjects: Electromagnetic compatibility and interference; Radar equipment, systems and applications; Optimisation techniques; Optical, image and video signal processing; Linear algebra (numerical analysis)

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