Detection of sinusoids by linear prediction filter frequency response

Four processors for the detection of a sinusoid of known frequency but unknown phase in Gaussian white noise of known spectrum level are described: the likelihood ratio detector; a processor employing incoherently averaged discrete Fourier transforms (DFTs); and two systems utilizing the frequency response function of an adaptive linear prediction filter. Power curves for these receivers are compared, showing that the adaptive detectors are similar in performance to the incoherent DFT processor. An expression for the optimal adaptive filter feedback constant is derived.