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Time-Frequency Representations Book

Time-Frequency Representations
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Time-Frequency Representations, Time-Frequency Representations provides a fundamental survey of time-frequency representations over finite and finitely generated abelian groups that can be used to design algorithms for multi-dimensional applications. Emphasis is placed on Weyl-Heisenber, Time-Frequency Representations
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  • Time-Frequency Representations
  • Written by author Richard Tolimieri
  • Published by Birkhauser Verlag, 7/31/2012
  • Time-Frequency Representations provides a fundamental survey of time-frequency representations over finite and finitely generated abelian groups that can be used to design algorithms for multi-dimensional applications. Emphasis is placed on Weyl-Heisenber
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Book Categories

Authors

Preface
1 Review of algebra 1
2 Linear algebra and abelian groups 19
3 Fourier transform over A 25
4 Poisson summation formula 47
5 Zak transform 57
6 Weyl-Heisenberg systems 77
7 Zak transform and W-H systems 93
8 Algorithms for W-H systems 117
9 Orthogonal projection theorem 135
10 Cross-ambiguity function 141
11 Ambiguity surfaces 151
12 Orthonormal W-H systems 155
13 Duality 169
14 Frames 187
15 Implementation 199
16 Algebra of multirate structures 219
17 Multirate structures 239
18 A Time-frequency search for stock market anomalies 261
References 275
Index 281


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Time-Frequency Representations, Time-Frequency Representations provides a fundamental survey of time-frequency representations over finite and finitely generated abelian groups that can be used to design algorithms for multi-dimensional applications. Emphasis is placed on Weyl-Heisenber, Time-Frequency Representations

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Time-Frequency Representations, Time-Frequency Representations provides a fundamental survey of time-frequency representations over finite and finitely generated abelian groups that can be used to design algorithms for multi-dimensional applications. Emphasis is placed on Weyl-Heisenber, Time-Frequency Representations

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