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  • Research Article
  • Open Access

Concept of Complex-Valued Parametric Pulse Models

EURASIP Journal on Advances in Signal Processing20062006:074145

  • Received: 4 February 2005
  • Accepted: 8 November 2005
  • Published:


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.


  • Radar
  • Synthetic Data
  • Pulse Shape
  • Physical Signal
  • Complex Representation

Authors’ Affiliations

Linz Center of Mechatronics GmbH, Altenberger Straße 69, Linz, 4040, Austria
Institute for Communications and Information Engineering, Johannes Kepler University, Linz, 4040, Austria


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© 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.