Time-scale approach for chirp detection. II. (English) Zbl 1185.41027
Summary: A new approach for joint detection and estimation of signals embedded in stationary random noise is considered and compared to previously studied methods, for the subclass of amplitude and frequency modulated signals. The method is a “reassigned” version of the Hough-wavelet transform and it is compared to the matched filter approach and the Hough-wavelet transform itself. Extensions to previous results obtained with these two methods are also presented. As target application, the problem of gravitational waves at interferometric detectors is considered. Our main conclusion is that there is no gain in introducing the reassignment operation.
[Part I, cf. M. Morvidone and B. Torresani, Int. J. Wavelets Multiresolut. Inf. Process. 1, No. 1, 19–49 (2003; Zbl 1044.94514).]
[Part I, cf. M. Morvidone and B. Torresani, Int. J. Wavelets Multiresolut. Inf. Process. 1, No. 1, 19–49 (2003; Zbl 1044.94514).]
MSC:
41A60 | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) |
26E70 | Real analysis on time scales or measure chains |
42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
60G35 | Signal detection and filtering (aspects of stochastic processes) |
94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
62P35 | Applications of statistics to physics |
Citations:
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