Separation of chirp scattered returns from a mixture of sinusoidal tones in noise

Masoud Farshchian, Ivan Selesnick

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider the problem of source separation of a signal whose elements consist of chirp scattered returns and sinusoidal tones overlapping in time and frequency. Due to the application, both signals are assumed to be highly non-stationary with their parameters rapidly changing. Such a mixture may occur when a device with a single antenna is spectrally constrained while simultaneously communicating information and sensing the environment. Another application is to mitigate interference between two devices which must share the spectrum. We consider a formulation where the chirp scattered returns are modeled as a convolution and the sinusoidal tones are modeled as sparse in the overcomplete inverse discrete Fourier domain. The objective function which is a combination of basis pursuit denoising and deconvolution is formulated with a/i-norm regularizer for each signal. A fast transform based iterative algorithm to obtain the solution is presented and the major steps for deriving the solution are outlined. Simulation results are provided where the non-linear separation algorithm yields a significant improvement in signal reconstruction relative to the standard matched-filter.

Original languageEnglish (US)
Title of host publication2016 4th International Workshop on Compressed Sensing Theory and its Applications to Radar, Sonar and Remote Sensing, CoSeRa 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages163-167
Number of pages5
ISBN (Electronic)9781509029204
DOIs
StatePublished - Nov 15 2016
Event4th International Workshop on Compressed Sensing Theory and its Applications to Radar, Sonar and Remote Sensing, CoSeRa 2016 - Aachen, Germany
Duration: Sep 19 2016Sep 23 2016

Publication series

Name2016 4th International Workshop on Compressed Sensing Theory and its Applications to Radar, Sonar and Remote Sensing, CoSeRa 2016

Other

Other4th International Workshop on Compressed Sensing Theory and its Applications to Radar, Sonar and Remote Sensing, CoSeRa 2016
CountryGermany
CityAachen
Period9/19/169/23/16

ASJC Scopus subject areas

  • Instrumentation
  • Signal Processing

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