Generalization of waveform communications: The Fourier analyzer approach

Géza Kolumbán, Chung Ming Lau, Chi Kong Tse

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)


In digital communications, fixed, chaotic, and random waveforms are used. Although the theory of fixed waveform communications is well established, its generalization to include chaotic and random carriers has not yet been carried out. The lack of an exact model prevents the optimization of chaotic and random communication systems. Introducing the Fourier analyzer concepts, this paper develops a unified model which is equally valid for communications with fixed, chaotic and random carriers. It gives an exact measure for the a priori information which is exploited at the receiver to optimize the noise performance. The unified model may be used to determine the performance bounds of different waveform communication systems and offers a systematic approach for the development of optimum detector configurations. Using the model developed, a new classification of digital communication systems is proposed.
Original languageEnglish
Pages (from-to)451-474
Number of pages24
JournalCircuits, Systems, and Signal Processing
Issue number5 SPEC. ISS.
Publication statusPublished - 1 Sept 2005


  • Chaotic communications
  • Fourier analyzer concept
  • GML and ML decision rules
  • Subspace theory of detection
  • Waveform communications

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing


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