We have shown the role of coherence in waveform design in determining the performance of a sensing system by incorporating the degrees of freedom afforded by new waveform design strategies. Using this approach, we were able to use coherence properties generated by the waveform and aperture to derive an analytic bound on the Generalized Likelihood ratio test that is commonly used in many sensor systems. Thus coherence allows a means of determining a fundamental bound on system performance.

Inspec keywords: signal processing; modulation; statistical testing

Other keywords: signal models; analytic bound; sensing system; waveform design strategy; generalized likelihood ratio test; fundamental bound; coherence property; modulated signal; degrees of freedom

Subjects: Signal processing theory; Other topics in statistics; Modulation and coding methods; Other topics in statistics; Signal processing and detection