TY - GEN
T1 - Dual-tree complex wavelet transform arising from cosine-sine modulated filter banks
AU - Kyochi, Seisuke
AU - Uto, Toshiyuki
AU - Ikehara, Masaaki
PY - 2009/10/26
Y1 - 2009/10/26
N2 - The purpose of this paper is to show an another design approach of the M-band dual-tree complex wavelet transform (DTℂWT). Conventionally, M-channel cosine-sine modulated filter bank has been proposed as an extension of cosine modulated filter bank. It can be easily designed by the modulation of one prototype filter. In this paper, we show that it can be regarded as an alternative DTℂWT with respect to its relationship to the analyticity. In addition, we also present its shift-invariance, rich directional selectivity which are effective for the image processing. Therefore it can provide the simple design of M-band DTℂWT. In this paper, these properties are verified by theoretical analysis and demonstrations.
AB - The purpose of this paper is to show an another design approach of the M-band dual-tree complex wavelet transform (DTℂWT). Conventionally, M-channel cosine-sine modulated filter bank has been proposed as an extension of cosine modulated filter bank. It can be easily designed by the modulation of one prototype filter. In this paper, we show that it can be regarded as an alternative DTℂWT with respect to its relationship to the analyticity. In addition, we also present its shift-invariance, rich directional selectivity which are effective for the image processing. Therefore it can provide the simple design of M-band DTℂWT. In this paper, these properties are verified by theoretical analysis and demonstrations.
UR - http://www.scopus.com/inward/record.url?scp=70350147938&partnerID=8YFLogxK
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U2 - 10.1109/ISCAS.2009.5118231
DO - 10.1109/ISCAS.2009.5118231
M3 - Conference contribution
AN - SCOPUS:70350147938
SN - 9781424438280
T3 - Proceedings - IEEE International Symposium on Circuits and Systems
SP - 2189
EP - 2192
BT - 2009 IEEE International Symposium on Circuits and Systems, ISCAS 2009
T2 - 2009 IEEE International Symposium on Circuits and Systems, ISCAS 2009
Y2 - 24 May 2009 through 27 May 2009
ER -