Conjugate symmetric sequency-ordered complex Hadamard transform
IEEE Transactions on Signal Processing
Natural-ordered complex Hadamard transform
Signal Processing
Fast algorithms for the computation of sliding sequency-ordered complex hadamard transform
IEEE Transactions on Signal Processing
A Robust Watermarking Scheme Using Sequency-ordered Complex Hadamard Transform
Journal of Signal Processing Systems
Sequency-ordered generalized Walsh-Fourier transform
Signal Processing
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In this paper, the generation of sequency-ordered complex Hadamard transform (SCHT) based on the complex Rademacher matrices is presented. The exponential form of SCHT is also derived, and the proof for the unitary property of SCHT is given. Using the sparse matrix factorization, the fast and efficient algorithm to compute the SCHT transform is developed, and its computation load is described. Certain properties of the SCHT matrices are derived and analyzed with the discussion of SCHT applications in spectrum analysis and image watermarking. Relations of SCHT with fast Fourier transform (FFT) and unified complex Hadamard transform (UCHT) are discussed.