Time-Frequency Analysis and Synthesis of Linear Signal Spaces

Time-Frequency Analysis and Synthesis of Linear Signal Spaces

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This text consists of nine chapters. Chapters 2-6 form a coherent part of the book, with Chapter 4 being the cornerstone of the approach of designing signal processing methods for which time-frequency considerations provide the guiding principles. The problem of synthesizing linear signal spaces is solved: with a given region in the time-frequency plane there is associated the linear signal space whose Wigner distribution is closest to the indicator function of the region. The results of Chapter 4 find ample application in Chapters 5 and 6, in which linear signal spaces with prescribed time-frequency localization are required for a variety of signal processing problems. The notion of ambiguity function of a linear signal space is introduced and applied to the problem of optimally designing a set of radar pulses. Here, optimal refers to minimum Cramer-bound and maximum global accuracy of the maximum likelihood multipulse estimator for range and Doppler shift.0.15 pdf a#39; 0.1 10aquot; PD L 0 20 40 60 ~Qr (a) 10aquot; (c) 0.13 pdf ai 10aquot; PD 10aquot; 0 20 40 60 aquot;Or (b) 10Ad (d) Figure 6.6. Comparison of optimum projection filter and TF projection filter for signal detection (II): (a) estimated conditional probability densityanbsp;...

Title:Time-Frequency Analysis and Synthesis of Linear Signal Spaces
Author:Franz Hlawatsch
Publisher:Springer Science & Business Media - 1998-03-31


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