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Proceedings Paper

Discrete time processing of linear scale-invariant signals and systems
Author(s): Meltem Izzetoglu; Banu Onaral; Prabhakar R. Chitrapu; Nihat M. Bilgutay
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Paper Abstract

In this paper, we formulate a framework for discrete-time processing of Linear Scale Invariant (LSI) systems which are invariant to scale changes in time. Continuous-time LSI systems can be processed by Mellin and Modified Scale Transforms analogous to the use of the Laplace and Fourier Transforms in the continuous- time processing of LTI systems. In this work, we present the geometric sampling theorem to prevent aliasing in the scale domain. We also derive the perfect reconstruction filter in time domain, the discrete-time convolution sum, the Discrete Time Modified Scale Transform (DTMST) and the Discrete Modified Scale Transform (DMST) for geometrically sampled signals.

Paper Details

Date Published: 13 November 2000
PDF: 9 pages
Proc. SPIE 4116, Advanced Signal Processing Algorithms, Architectures, and Implementations X, (13 November 2000); doi: 10.1117/12.406488
Show Author Affiliations
Meltem Izzetoglu, Drexel Univ. (United States)
Banu Onaral, Drexel Univ. (United States)
Prabhakar R. Chitrapu, Lockheed Martin Global Telecommunications (United States)
Nihat M. Bilgutay, Drexel Univ. (United States)

Published in SPIE Proceedings Vol. 4116:
Advanced Signal Processing Algorithms, Architectures, and Implementations X
Franklin T. Luk, Editor(s)

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