A Fast Generalized Likelihood Ratio Test for Single-Sinusoid Detection

In this paper a new algorithm for detection of a single complex sinusoid ("cisoid") in white noise is presented. The frequency, phase and amplitude of the cisoid are assumed to be unknown. It is shown that a byproduct of a new class of fast single-cisoid frequency estimation algorithms can...

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Bibliographic Details
Main Author: Klein, J.D.
Format: Conference Proceeding
Language:English
Subjects:
Computational efficiency
Degradation
Frequency estimation
Gaussian noise
Maximum likelihood detection
Maximum likelihood estimation
Signal to noise ratio
Statistical analysis
Testing
White noise
Online Access:Request full text
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Summary:In this paper a new algorithm for detection of a single complex sinusoid ("cisoid") in white noise is presented. The frequency, phase and amplitude of the cisoid are assumed to be unknown. It is shown that a byproduct of a new class of fast single-cisoid frequency estimation algorithms can replace an MLE-derived quantity in the standard generalized likelihood ratio test (GLRT). This leads to much lower computational cost than the standard GLRT. The price paid is a small increase in the SNR required for effective operation.
ISSN:1058-6393
2576-2303
DOI:10.1109/ACSSC.2006.354948