Discrete Mellin transform for signal analysis

Theoretical wideband studies generally provide expressions involving stretched forms of the signal. This feature complicates implementation of the results and suggests the use of a Mellin transform to process dilations efficiently. A tool for the practical development of this idea is given. The defi...

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Bibliographic Details
Main Authors: Bertrand, J., Bertrand, P., Ovarlez, J.P.
Format: Conference Proceeding
Language:English
Subjects:
Discrete transforms
Fast Fourier transforms
Radar
Signal analysis
Time frequency analysis
Wideband
Online Access:Request full text
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Description
Summary:Theoretical wideband studies generally provide expressions involving stretched forms of the signal. This feature complicates implementation of the results and suggests the use of a Mellin transform to process dilations efficiently. A tool for the practical development of this idea is given. The definition, properties, and time-frequency interpretation of the relevant Mellin transform are given. The discretization is developed, leading to a form which can run with any FFT (fast Fourier transform) routine. The advantage of the technique is illustrated by computing broadband radar ambiguity functions and affine time-frequency representations.< >
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.1990.115730