Detection of Sinusoids in White Noise by Adaptive Linear Prediction Filtering.
Abstract
This report describes four receivers for the detection of a sinusoid of known frequency but unknown phase in Gaussian white noise of known spectrum level. These are: the likelihood ratio detector, a processor employing incoherently averaged Discrete Fourier Transforms (DFTs) of the received signal, and two systems utilizing the frequency response of adaptive Linear Predictive Filters(LPFs). The LPF systems are described in detail, and an expression for optimal adaptive filter parameter selection is derived. Power curves for the four receivers are derived and compared. Results indicate that the adaptive methods are similar in performance to the incoherent DFT processor with one of the adaptive techniques offering a 1-dB reduction in input signal-to-noise ratio (SNR) for operation at the same detection and false alarm probabilities. All three of these detectors require substantially higher SNRs than the likelihood ratio detector. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1977
- Accession Number
- ADA056938
Entities
People
- P. M. Reeves