Matches in SemOpenAlex for { <https://semopenalex.org/work/W3196827095> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W3196827095 abstract "We consider the recovery of a complex band-limited radar waveform from the magnitude of the fractional Fourier transform (FrFT) formulation of its ambiguity function (AF). This is essentially a phase retrieval (PR) problem applied to radar waveform design. The FrFT-based AF is mathematically obtained by correlating the signal with its frequency-rotated, Doppler-shifted, and delayed replicas. It completely characterizes the radar's capability to discriminate closely-spaced targets in the delay-Doppler plane. Unlike prior works which largely involved analytical approaches, our method WaveMax formulates the recovery of the waveform via the FrFT-based AF PR as a convex optimization problem. Specifically, we retrieve the signal by solving a basis pursuit that requires a designed approximation of the radar signal obtained by extracting the leading eigenvector of a matrix depending on the AF. Our theoretical analysis shows that unique waveform reconstruction is possible using signal samples no more than thrice the number of signal frequencies or time samples. Numerical experiments demonstrate that our method recovers band-limited signals from both even-sparse and random samples of the AFs with a mean squared error of <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$1times 10^{-6}$</tex> and <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$5times 10^{-2}$</tex> for full noiseless samples and sparse noisy samples, respectively." @default.
- W3196827095 created "2021-09-13" @default.
- W3196827095 creator A5003777876 @default.
- W3196827095 creator A5021631342 @default.
- W3196827095 creator A5082119521 @default.
- W3196827095 date "2021-07-12" @default.
- W3196827095 modified "2023-10-09" @default.
- W3196827095 title "WaveMax: FrFT-Based Convex Phase Retrieval for Radar Waveform Design" @default.
- W3196827095 cites W2007400249 @default.
- W3196827095 cites W2023635990 @default.
- W3196827095 cites W2044613770 @default.
- W3196827095 cites W2077647472 @default.
- W3196827095 cites W2078204800 @default.
- W3196827095 cites W2087483236 @default.
- W3196827095 cites W2101381994 @default.
- W3196827095 cites W2111593606 @default.
- W3196827095 cites W2113841818 @default.
- W3196827095 cites W2121049928 @default.
- W3196827095 cites W2131588498 @default.
- W3196827095 cites W2145686608 @default.
- W3196827095 cites W2151139892 @default.
- W3196827095 cites W2914202397 @default.
- W3196827095 cites W2972473258 @default.
- W3196827095 cites W3020890536 @default.
- W3196827095 cites W3104330499 @default.
- W3196827095 cites W4244753254 @default.
- W3196827095 doi "https://doi.org/10.1109/isit45174.2021.9518226" @default.
- W3196827095 hasPublicationYear "2021" @default.
- W3196827095 type Work @default.
- W3196827095 sameAs 3196827095 @default.
- W3196827095 citedByCount "3" @default.
- W3196827095 countsByYear W31968270952022 @default.
- W3196827095 countsByYear W31968270952023 @default.
- W3196827095 crossrefType "proceedings-article" @default.
- W3196827095 hasAuthorship W3196827095A5003777876 @default.
- W3196827095 hasAuthorship W3196827095A5021631342 @default.
- W3196827095 hasAuthorship W3196827095A5082119521 @default.
- W3196827095 hasConcept C102519508 @default.
- W3196827095 hasConcept C104267543 @default.
- W3196827095 hasConcept C10929652 @default.
- W3196827095 hasConcept C112680207 @default.
- W3196827095 hasConcept C11413529 @default.
- W3196827095 hasConcept C134306372 @default.
- W3196827095 hasConcept C157972887 @default.
- W3196827095 hasConcept C197424946 @default.
- W3196827095 hasConcept C199360897 @default.
- W3196827095 hasConcept C203024314 @default.
- W3196827095 hasConcept C2524010 @default.
- W3196827095 hasConcept C2779843651 @default.
- W3196827095 hasConcept C33923547 @default.
- W3196827095 hasConcept C41008148 @default.
- W3196827095 hasConcept C50878840 @default.
- W3196827095 hasConcept C554190296 @default.
- W3196827095 hasConcept C59584813 @default.
- W3196827095 hasConcept C70958404 @default.
- W3196827095 hasConcept C76155785 @default.
- W3196827095 hasConcept C76563020 @default.
- W3196827095 hasConcept C81793267 @default.
- W3196827095 hasConceptScore W3196827095C102519508 @default.
- W3196827095 hasConceptScore W3196827095C104267543 @default.
- W3196827095 hasConceptScore W3196827095C10929652 @default.
- W3196827095 hasConceptScore W3196827095C112680207 @default.
- W3196827095 hasConceptScore W3196827095C11413529 @default.
- W3196827095 hasConceptScore W3196827095C134306372 @default.
- W3196827095 hasConceptScore W3196827095C157972887 @default.
- W3196827095 hasConceptScore W3196827095C197424946 @default.
- W3196827095 hasConceptScore W3196827095C199360897 @default.
- W3196827095 hasConceptScore W3196827095C203024314 @default.
- W3196827095 hasConceptScore W3196827095C2524010 @default.
- W3196827095 hasConceptScore W3196827095C2779843651 @default.
- W3196827095 hasConceptScore W3196827095C33923547 @default.
- W3196827095 hasConceptScore W3196827095C41008148 @default.
- W3196827095 hasConceptScore W3196827095C50878840 @default.
- W3196827095 hasConceptScore W3196827095C554190296 @default.
- W3196827095 hasConceptScore W3196827095C59584813 @default.
- W3196827095 hasConceptScore W3196827095C70958404 @default.
- W3196827095 hasConceptScore W3196827095C76155785 @default.
- W3196827095 hasConceptScore W3196827095C76563020 @default.
- W3196827095 hasConceptScore W3196827095C81793267 @default.
- W3196827095 hasFunder F4320311418 @default.
- W3196827095 hasFunder F4320338295 @default.
- W3196827095 hasLocation W31968270951 @default.
- W3196827095 hasOpenAccess W3196827095 @default.
- W3196827095 hasPrimaryLocation W31968270951 @default.
- W3196827095 hasRelatedWork W2045123908 @default.
- W3196827095 hasRelatedWork W2133372704 @default.
- W3196827095 hasRelatedWork W2153873646 @default.
- W3196827095 hasRelatedWork W2171312803 @default.
- W3196827095 hasRelatedWork W2359922119 @default.
- W3196827095 hasRelatedWork W2383798910 @default.
- W3196827095 hasRelatedWork W2436417042 @default.
- W3196827095 hasRelatedWork W2545856498 @default.
- W3196827095 hasRelatedWork W2602511930 @default.
- W3196827095 hasRelatedWork W3196827095 @default.
- W3196827095 isParatext "false" @default.
- W3196827095 isRetracted "false" @default.
- W3196827095 magId "3196827095" @default.
- W3196827095 workType "article" @default.