Identification of Linear Time-Varying Systems Through Waveform Diversity

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Harms, A; Bajwa, WU; Calderbank, R

Published Date

  • April 15, 2015

Published In

Volume / Issue

  • 63 / 8

Start / End Page

  • 2070 - 2084

International Standard Serial Number (ISSN)

  • 1053-587X

Digital Object Identifier (DOI)

  • 10.1109/TSP.2015.2407319

Citation Source

  • Scopus