Modeling and estimation for doppler-shifted random processes

Christophe Couvreur, Yoram Bresler

Research output: Contribution to journalArticlepeer-review


Signals emitted by moving sources and received at a fixed sensor are subject to the Doppler effect. For narrowband signals, the Doppler effect amounts simply to a frequency shift. The effect is more complex when the signals are wideband. In this paper, a mathematical model for Doppler-shifted wideband signals is introduced. The model assumes that the wide-band moving source can be represented by a stationary rational (ARMA) process. Several applications of the model are then described. First, a method for the generation of synthetic wideband Doppler-shifted signals is proposed. Next, a computationally efficient algorithm for the estimation of the motion of a stationary wideband source with unknown spectrum from the recording at a single fixed sensor is derived. The performance of the algorithms is illustrated on synthetic and real acoustic data. Finally, an algorithm for the estimation of the power spectrum of signals subject to unknown Doppler shifts is proposed, and its effectiveness is demonstrated on an example.

Original languageEnglish (US)
Number of pages1
JournalIEEE Transactions on Signal Processing
Issue number7
StatePublished - Dec 1 1998

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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