Applying the Fourier-Modified Mellin Transform (FMMT) to doppler distorted waveforms

T. K. Sarkar, J. Yang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The magnitude spectrum of a time domain signal has the property of delay-invariance. Similar to the delay-invariance property of the Fourier transform, the Mellin transform has the property of scale-invariance. By combining these two transforms together one can form the Fourier-Mellin transform that yields a signal representation which is independent of both delay and scale change. Due to the undesired low-pass property of the Mellin transform (MT), the modified Mellin transform (MMT) which is also scale-invariant is applied in our approach. Therefore the Fourier-Modified Mellin transform (FMMT) of the original signal and the Doppler-distorted signal will be identical. This signal representation is useful in signal detection and target recognition. Several examples dealing with different waveforms have been simulated to illustrate the applicability of this approach. The performance of the Fourier-Modified Mellin transform under different levels of noise in the signal are also illustrated in this paper.

Original languageEnglish (US)
Title of host publication2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07
Pages472-475
Number of pages4
DOIs
StatePublished - Dec 1 2007
Event2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07 - Torino, Italy
Duration: Sep 17 2007Sep 21 2007

Publication series

Name2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07

Other

Other2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07
CountryItaly
CityTorino
Period9/17/079/21/07

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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