Open Access

Concept of Complex-Valued Parametric Pulse Models

EURASIP Journal on Advances in Signal Processing20062006:074145

https://doi.org/10.1155/ASP/2006/74145

Received: 4 February 2005

Accepted: 8 November 2005

Published: 27 March 2006

Abstract

In pulse-based radar systems, the knowledge of certain parameters of the received radar pulse is of great importance. We introduce a complex-valued parametric pulse model by extending a real-valued pulse signal into the complex plane. A modulation angle parameter unique to the complex representation gives an additional degree of freedom and can be used to model the basic shape of the pulse, thus lifting the conventional restriction to fixed pulse shapes in real-valued correlation techniques. As physical signals are real valued, the imaginary part of the complex signal is calculated by using the Hilbert transformation. Parameter estimation is based on the complex-valued continuous wavelet transform. The main advantages of this concept are demonstrated on synthetic data and verified on ultrawideband pulse radar measurements.

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Authors’ Affiliations

(1)
Linz Center of Mechatronics GmbH
(2)
Institute for Communications and Information Engineering, Johannes Kepler University

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Copyright

© Klaus Pourvoyeur et al. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.