Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing - Softcover
Synopsis
Preface. 1. Kronecker Matrix Algebra. 2. A Hadamard Matrix. 3. The Sylvester-Hadamard Matrix of Rank 2n. 4. The Eigenvalues of Hn. 5. The Eigenvectors of Hn. 6. Other Constructions of Hn. 7. The Hadamard Transform and its Fast Implementation. 8. Use of the 1-D Hadamard Transform in the Computation of a 2-D Hadamard Transform. 9. The Fast Fourier Transform and the Hadamard Transform. 10. Computational Structures. 11. Efficient Hadamard Transform Domain Computation. 12. The Hadamard Transform in Statistics. 13. The Hadamard Transform and Error-Correction Coding. 14. Boolean Functions. 15. Spectrally Preconditioned Threshold Logic. 16. Synthesis of Bent Functions. 17. The m-Sequence. 18. Composite Sequences. 19. The Thue-Morse Sequence. 20. Signal Representation. 21. A New Hadamard Basis and Its Implication for Signaling. 22. A Stochastic Operator Field. 23. A Naturalness Preserving Transform. References. Index.
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