Computer Science – Information Theory
Scientific paper
2010-08-04
Computer Science
Information Theory
Revised version of a journal paper submitted to IEEE Trans. Signal Processing: 30 pages, 17 figures
Scientific paper
Identification of time-varying linear systems, which introduce both time-shifts (delays) and frequency-shifts (Doppler-shifts), is a central task in many engineering applications. This paper studies the problem of identification of underspread linear systems (ULSs), whose responses lie within a unit-area region in the delay Doppler space, by probing them with a known input signal. It is shown that sufficiently-underspread parametric linear systems, described by a finite set of delays and Doppler-shifts, are identifiable from a single observation as long as the time bandwidth product of the input signal is proportional to the square of the total number of delay Doppler pairs in the system. In addition, an algorithm is developed that enables identification of parametric ULSs from an input train of pulses in polynomial time by exploiting recent results on sub-Nyquist sampling for time delay estimation and classical results on recovery of frequencies from a sum of complex exponentials. Finally, application of these results to super-resolution target detection using radar is discussed. Specifically, it is shown that the proposed procedure allows to distinguish between multiple targets with very close proximity in the delay Doppler space, resulting in a resolution that substantially exceeds that of standard matched-filtering based techniques without introducing leakage effects inherent in recently proposed compressed sensing-based radar methods.
Bajwa Waheed U.
Eldar Yonina C.
Gedalyahu Kfir
No associations
LandOfFree
Identification of Parametric Underspread Linear Systems and Super-Resolution Radar does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Identification of Parametric Underspread Linear Systems and Super-Resolution Radar, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Identification of Parametric Underspread Linear Systems and Super-Resolution Radar will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-83310