TY - GEN
T1 - On factorizations of conjugate symmetric Hadamard transform and its relationship with DCT
AU - Kyochi, Seisuke
AU - Tanaka, Yuichi
AU - Ikehara, Masaaki
PY - 2012/10/23
Y1 - 2012/10/23
N2 - Complex-valued conjugate symmetric Hadamard transform (C-CSHT) is a variant of complex Hadamard transform and effective for some signal processing and communication applications. Its closed-form factorization of the general N-channel (N = 2 m) case was recently proposed, however, there still exist a room to find an effective factorization especially for unified factorization of C-CSHT and its real-valued transform counterpart (R-CSHT). In this paper, we present another simple closed-form factorization of C-CSHT based on that of R-CSHT. The proposed factorization is applicable for both complex- and real-valued CSHTs with one factorization. Furthermore, the relationship with the common block transform, DCT, is revealed.
AB - Complex-valued conjugate symmetric Hadamard transform (C-CSHT) is a variant of complex Hadamard transform and effective for some signal processing and communication applications. Its closed-form factorization of the general N-channel (N = 2 m) case was recently proposed, however, there still exist a room to find an effective factorization especially for unified factorization of C-CSHT and its real-valued transform counterpart (R-CSHT). In this paper, we present another simple closed-form factorization of C-CSHT based on that of R-CSHT. The proposed factorization is applicable for both complex- and real-valued CSHTs with one factorization. Furthermore, the relationship with the common block transform, DCT, is revealed.
KW - DCT
KW - Hadamard transform
KW - binDCT
KW - complex Hadamard transform
KW - conjugate symmetric Hadamard transform
UR - http://www.scopus.com/inward/record.url?scp=84867617106&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84867617106&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2012.6288665
DO - 10.1109/ICASSP.2012.6288665
M3 - Conference contribution
AN - SCOPUS:84867617106
SN - 9781467300469
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 3477
EP - 3480
BT - 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings
T2 - 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012
Y2 - 25 March 2012 through 30 March 2012
ER -