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Identification of Linear Time-Varying Systems Through Waveform Diversity

Publication ,  Journal Article
Harms, A; Bajwa, WU; Calderbank, R
Published in: IEEE Transactions on Signal Processing
April 15, 2015

Linear, time-varying (LTV) systems composed of time shifts, frequency shifts, and complex amplitude scalings are operators that act on continuous finite-energy waveforms. This paper presents a novel, resource-efficient method for identifying the parametric description of such systems, i.e., the time shifts, frequency shifts, and scalings, from the sampled response to linear frequency modulated (LFM) waveforms, with emphasis on the application to radar processing. If the LTV operator is probed with a sufficiently diverse set of LFM waveforms, then the system can be identified with high accuracy. In the case of noiseless measurements, the identification is perfect, while in the case of noisy measurements, the accuracy is inversely proportional to the noise level. The use of parametric estimation techniques with recently proposed denoising algorithms allows the estimation of the parameters with high accuracy.

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Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

April 15, 2015

Volume

63

Issue

8

Start / End Page

2070 / 2084

Related Subject Headings

  • Networking & Telecommunications
 

Citation

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Harms, A., Bajwa, W. U., & Calderbank, R. (2015). Identification of Linear Time-Varying Systems Through Waveform Diversity. IEEE Transactions on Signal Processing, 63(8), 2070–2084. https://doi.org/10.1109/TSP.2015.2407319
Harms, A., W. U. Bajwa, and R. Calderbank. “Identification of Linear Time-Varying Systems Through Waveform Diversity.” IEEE Transactions on Signal Processing 63, no. 8 (April 15, 2015): 2070–84. https://doi.org/10.1109/TSP.2015.2407319.
Harms A, Bajwa WU, Calderbank R. Identification of Linear Time-Varying Systems Through Waveform Diversity. IEEE Transactions on Signal Processing. 2015 Apr 15;63(8):2070–84.
Harms, A., et al. “Identification of Linear Time-Varying Systems Through Waveform Diversity.” IEEE Transactions on Signal Processing, vol. 63, no. 8, Apr. 2015, pp. 2070–84. Scopus, doi:10.1109/TSP.2015.2407319.
Harms A, Bajwa WU, Calderbank R. Identification of Linear Time-Varying Systems Through Waveform Diversity. IEEE Transactions on Signal Processing. 2015 Apr 15;63(8):2070–2084.

Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

April 15, 2015

Volume

63

Issue

8

Start / End Page

2070 / 2084

Related Subject Headings

  • Networking & Telecommunications