最 低 价：￥731.70
定 价：￥813.00
作 者：Radomir S. Stankovic，ClaudioMoraga 等著 著
出 版 社：吉林长白山
出版时间：2005-7-1
I S B N：9780471694632
| Preface Acknowledgments Acronyms 1 Signals and Their Mathematical Models 1.1 Systems 1.2 Signals 1.3 Mathematical Models of Signals References 2 Fourier Analysis 2.1 Representations of Groups 2.1.1 Complete reducibility 2.2 Fourier Transform on Finite Groups 2.3 Properties of the Fourier transform 2.4 Matrix interpretation of the Fourier transform on finite non-Abelian groups 2.5 Fast Fourier transform on.finite non-Abelian groups References 3 Matrix Interpretation of the FFT 3.1 Matrix interpretation of FFT on ,finite non-Abelian groups 3.2 Illustrative examples 3.3 Complexity of the FFT 3.3.1 Complexity of calculations of the FFT 3.3.2 Remarks on programming implementation of FFT 3.4 FFT through decision diagrams 3.4.1 Decision diagrams 3.4.2 FFT on finite non-Abelian groups through DDs 3.4.3 MTDDs for the Fourier spectrum 3.4.4 Complexity of DDs calculation methods" References 4 Optimization of Decision Diagrams 4.1 Reduction Possibilities in Decision Diagrams 4.2 Group-theoretic Interpretation of DD 4.3 Fourier Decision Diagrams 4.3.1 Fourier decision trees 4.3.2 Fourier decision diagrams 4.4 Discussion of Different Decompositions 4.4.1 Algorithm for optimization of DDs 4.5 Representation of Two-Variable Function Generator 4.6 Representation of adders by Fourier DD 4.7 Representation of multipliers by Fourier DD 4.8 Complexity of FNADD 4.9 Fourier DDs with Preprocessing 4.9.1 Matrix-valued fimctions 4.9.2 Fourier transform for matrix-valued fimctions 4.10 Fourier Decision Trees with Preprocessing 4.11 Fourier Decision Diagrams with Preprocessing 4.12 Construction of FNAPDD 4.13 Algorithm for Construction of FNAPDD 4.13.1 Algorithm for representation 4.14 Optimization of FNAPDD References 5 Functional Expressions on Quaternion Groups 6 Gibbs Derivatives on Finite Groups 7 Linear Systems on Finite Non-Abelian Groups 8 Hilbert Transform on Finite Groups Index |
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