Time Scale Approach for Chirp Detection

Two different approaches for joint detection and estimation of signals embedded in stationary random noise are considered and compared, for the subclass of amplitude and frequency modulated signals. Matched filter approaches are compared to time-frequency and time scale based approaches. Particular attention is paid to the case of the so-called "power-law chirps", characterized by monomial and polynomial amplitude and frequency functions. As target application, the problem of gravitational waves at interferometric detectors is considered.

[1]  Nadine Martin,et al.  Spectrogram segmentation by means of statistical features for non-stationary signal interpretation , 2002, IEEE Trans. Signal Process..

[2]  B. Picinbono,et al.  Représentation des signaux par amplitude et phase instantanées , 1983 .

[3]  Anthony L Bertapelle.  Spectral Analysis of Time Series. , 1979 .

[4]  Bruno Torrésani,et al.  Wavelets and Binary Coalescences Detection , 1997 .

[5]  S. Mallat.  A wavelet tour of signal processing , 1998 .

[6]  Luc Blanchet,et al.  Gravitational waveforms from inspiralling compact binaries to second-post-Newtonian order , 1996, gr-qc/9602024.

[7]  J. Lamperti.  Stochastic processes : a survey of the mathematical theory , 1979 .

[8]  Peter H. Bauer,et al.  An IIR median hybrid filter , 1992, IEEE Trans. Signal Process..

[9]  Blanchet,et al.  Erratum: Gravitational waves from inspiralling compact binaries: Energy loss and waveform to second-post-Newtonian order , 1995, Physical review. D, Particles and fields.

[10]  Bruno Torrésani,et al.  Practical Time-Frequency Analysis, Volume 9: Gabor and Wavelet Transforms, with an Implementation in S , 1998 .

[11]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[12]  Eric Chassande-Mottin.  Méthodes de réallocation dans le plan temps-fréquence pour l'analyse et le traitement de signaux non stationnaires , 1998 .

[13]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory, Part I , 1968 .

[14]  Marco Lops,et al.  The VIRGO Project: A wide band antenna for gravitational wave detection , 1990 .

[15]  K. Kodera,et al.  Analysis of time-varying signals with small BT values , 1978 .

[16]  Joshua R. Smith,et al.  LIGO: the Laser Interferometer Gravitational-Wave Observatory , 1992, Science.

[17]  Richard Kronland-Martinet,et al.  Asymptotic wavelet and Gabor analysis: Extraction of instantaneous frequencies , 1992, IEEE Trans. Inf. Theory.

[18]  P. Flandrin,et al.  On the Time–Frequency Detection of Chirps1 , 1999 .