Operator-theoretic modeling and waveform design for radar in the presence of Doppler

Douglas Cochran, Stephen D. Howard, Bill Moran

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

3 Citations (Scopus)

Abstract

Optimal radar waveform design for target detection has been addressed in prior research literature under various assumptions regarding noise and clutter. A common model of the radar scene in work of this kind is a linear time-invariant (LTI) operator with additive Gaussian noise that acts on the transmitted signal to produce the received signal. This model is intrinsically ill-suited to dynamic scenes or moving radar platforms because it cannot account for Doppler. This paper introduces scene models based on Hilbert-Schmidt class (HS) operators on the space of finite-energy signals. This category of models generalizes the LTI category in the sense that every LTI operator is also a HS operator, but the HS class includes operators that account for frequency shifts as well as time shifts and are thus suitable for modeling radar scenes involving Doppler. Every HS operator is uniquely expressible as a superposition of elementary time and frequency shift operators, thus providing a convenient interpretation of a scene in terms of these physically meaningful operations on the transmitted signal. Application of this perspective to waveform design for target detection in noise and to optimal receiver processing for a given waveform for target detection in clutter and noise are demonstrated.

Original languageEnglish (US)
Title of host publicationIEEE National Radar Conference - Proceedings
Pages774-777
Number of pages4
DOIs
StatePublished - 2012
Event2012 IEEE Radar Conference: Ubiquitous Radar, RADARCON 2012 - Atlanta, GA, United States
Duration: May 7 2012May 11 2012

Other

Other2012 IEEE Radar Conference: Ubiquitous Radar, RADARCON 2012
CountryUnited States
CityAtlanta, GA
Period5/7/125/11/12

Fingerprint

Radar
Target tracking
Processing

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Cochran, D., Howard, S. D., & Moran, B. (2012). Operator-theoretic modeling and waveform design for radar in the presence of Doppler. In IEEE National Radar Conference - Proceedings (pp. 774-777). [6212242] https://doi.org/10.1109/RADAR.2012.6212242

Operator-theoretic modeling and waveform design for radar in the presence of Doppler. / Cochran, Douglas; Howard, Stephen D.; Moran, Bill.

IEEE National Radar Conference - Proceedings. 2012. p. 774-777 6212242.

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

Cochran, D, Howard, SD & Moran, B 2012, Operator-theoretic modeling and waveform design for radar in the presence of Doppler. in IEEE National Radar Conference - Proceedings., 6212242, pp. 774-777, 2012 IEEE Radar Conference: Ubiquitous Radar, RADARCON 2012, Atlanta, GA, United States, 5/7/12. https://doi.org/10.1109/RADAR.2012.6212242
Cochran D, Howard SD, Moran B. Operator-theoretic modeling and waveform design for radar in the presence of Doppler. In IEEE National Radar Conference - Proceedings. 2012. p. 774-777. 6212242 https://doi.org/10.1109/RADAR.2012.6212242
Cochran, Douglas ; Howard, Stephen D. ; Moran, Bill. / Operator-theoretic modeling and waveform design for radar in the presence of Doppler. IEEE National Radar Conference - Proceedings. 2012. pp. 774-777
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