000 03681nam a22005415i 4500
001 978-0-8176-4738-4
003 DE-He213
005 20251006084438.0
007 cr nn 008mamaa
008 100301s2009 xxu| s |||| 0|eng d
020 _a9780817647384
020 _a99780817647384
024 7 _a10.1007/978-0-8176-4738-4
_2doi
100 1 _aTolimieri, Richard.
_eauthor.
245 1 0 _aIdeal Sequence Design in Time-Frequency Space
_h[electronic resource] :
_bApplications to Radar, Sonar, and Communication Systems /
_cby Richard Tolimieri, Andrzej K. Brodzik, Myoung An.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2009.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied and Numerical Harmonic Analysis
505 0 _aReview of Algebra -- Permutations and Permutation Matrices -- Finite Fourier Transform -- Convolution and Correlation -- Discrete Chirps -- Zak Transform -- Zak Space Correlation Formula -- Zak Space Representation of Chirps -- *-Permutations -- Permutation Sequences -- Modulation -- Sequence Sets -- Echo Analysis -- Sequence Shaping -- Problems.
520 _aThis self-contained book develops theory and algorithms leading to systematic sequence design in time-frequency space. The primary tool used is the Zak transform, which provides sparse representation for the Fourier transform, convolution, and correlation. Using this multi-dimensional representation, the authors construct a large class of sequence sets satisfying pairwise ideal correlation. The complex algebraic analysis of sequences is replaced by an elegant and efficient geometric analysis of images, whose advantage is realized as an N to N! increase in the number of ideal sequence sets. Topics and features: * Mathematical development of the theory is illustrated with many examples. * Standard communication theory and Zak space methods are numerically compared. * Application areas covered include pulse radar and sonar, multi-beam radar and sonar imaging systems, remote identification of dielectrics, and code division multiple-access communication. * Background is provided in two introductory chapters on matrix algebra, tensor products, and permutation groups. * A list of open problems is presented and directions for further research are discussed. Ideal Sequence Design in Time-Frequency Space is an excellent reference text for graduate students, researchers, and engineers interested in radar, sonar, and communication systems. The work may also be used as a supplementary textbook for a graduate course or seminar on sequence design in time-frequency space.
650 0 _aENGINEERING.
650 0 _aHARMONIC ANALYSIS.
650 0 _aFOURIER ANALYSIS.
650 0 _aMATHEMATICS.
650 0 _aALGORITHMS.
650 0 _aTELECOMMUNICATION.
650 1 4 _aENGINEERING.
650 2 4 _aABSTRACT HARMONIC ANALYSIS.
650 2 4 _aAPPLICATIONS OF MATHEMATICS.
650 2 4 _aCOMMUNICATIONS ENGINEERING, NETWORKS.
650 2 4 _aALGORITHMS.
650 2 4 _aFOURIER ANALYSIS.
650 2 4 _aSIGNAL, IMAGE AND SPEECH PROCESSING.
700 1 _aBrodzik, Andrzej K.
_eauthor.
700 1 _aAn, Myoung.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817647377
830 0 _aApplied and Numerical Harmonic Analysis
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4738-4
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-ENG
942 _2ddc
_cER
999 _c59775
_d59775