Formulas are derived for computing performance gain that is achieved by coherent integration over noncoherent integration in detection schemes based on polyphase fast Fourier transform (FFT) and FFT filter banks. Numerical computation of the processing gain is then discussed. The crucial role that is played by window energy normalization in detection performance comparisons, which has never been recognized in the literature, is emphasized and analyzed. The numerical results provided for typical implementation parameters are useful for making appropriate tradeoffs in the design of solutions for practical signal detection problems.

Coherent integration, Constant false-alarm rate (CFAR), Detection and estimation, Fast Fourier Transform (FFT) filter bank, Noncoherent integration, Polyphase FFT (PFFT) filter bank, Spectral analysis
dx.doi.org/10.1109/TIM.2009.2038294
IEEE Transactions on Instrumentation and Measurement
Department of Systems and Computer Engineering

Wang, S. (Sichun), Inkol, R. (Robert), Rajan, S, & Patenaude, F. (François). (2010). Detection of narrow-band signals through the FFT and polyphase FFT filter banks: Noncoherent versus coherent integration. In IEEE Transactions on Instrumentation and Measurement (Vol. 59, pp. 1424–1438). doi:10.1109/TIM.2009.2038294