Viable/Inviable Polynomial-Phase Modulations for "Stretch Processing"

For pulse compression, "stretch processing" offers a low sampling rate, computationally simple alternative to the conventional matched-filter-based approach for radar/sonar receivers to pulse-compress the linear frequency modulated (a.k.a. "chirp," "linear chirp," or &q...

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Bibliographic Details
Published inIEEE transactions on aerospace and electronic systems Vol. 48; no. 1; pp. 923 - 926
Main Authors Lina Yeh, Wong, K. T., Mir, H. S.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2012
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Air traffic control
Aircraft components
Bandwidth
Chirp
Delay
Educational institutions
Mathematical models
Modulation
Polynomials
Pulse compression
Radar
Sonar
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Summary:For pulse compression, "stretch processing" offers a low sampling rate, computationally simple alternative to the conventional matched-filter-based approach for radar/sonar receivers to pulse-compress the linear frequency modulated (a.k.a. "chirp," "linear chirp," or "sweep signal") radar returns. A question remains in the open literature whether this "stretch processing" method could be applied to other constant-modulus polynomial-phase modulations. A concise mathematical proof is presented to show the answer as "no"; the linear frequency modulation (LFM) is the only constant-modulus polynomial-phase-based pulse compression suitable for "stretch processing".
Bibliography:ObjectType-Article-2
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ISSN:0018-9251
1557-9603
DOI:10.1109/TAES.2012.6129680