TY - GEN
T1 - A design of dual-tree complex wavelet transform based on least squares method
AU - Shimizu, Takafumi
AU - Kyochi, Seisuke
AU - Ikehara, Masaaki
PY - 2009/4/8
Y1 - 2009/4/8
N2 - In this paper, a novel design of dual-tree complex wavelet transform based on least squares method is proposed. An effective design method based on allpass filter with FIR has proposed by Selesnick. However, this method holds two problems. First, optimal frequency characteristic cannot be realized due to the restriction of design parameters. Second, approximation of the half sample delay condition is restricted on low frequency. The proposed method can achieve the high design degrees of freedom by using least squares method. It is shown that the method can design more effective dual-tree complex wavelet transform than conventional one, in terms of sharpness of frequency characteristic and accuracy of half sample delay condition, directionality and shift-invariance, by simulations. In the end of this paper, the performance of DTCWT designed by the proposed method for practical application, image denoising, is demonstrated. The proposed method outperforms the conventional method.
AB - In this paper, a novel design of dual-tree complex wavelet transform based on least squares method is proposed. An effective design method based on allpass filter with FIR has proposed by Selesnick. However, this method holds two problems. First, optimal frequency characteristic cannot be realized due to the restriction of design parameters. Second, approximation of the half sample delay condition is restricted on low frequency. The proposed method can achieve the high design degrees of freedom by using least squares method. It is shown that the method can design more effective dual-tree complex wavelet transform than conventional one, in terms of sharpness of frequency characteristic and accuracy of half sample delay condition, directionality and shift-invariance, by simulations. In the end of this paper, the performance of DTCWT designed by the proposed method for practical application, image denoising, is demonstrated. The proposed method outperforms the conventional method.
KW - Directionality
KW - Dual-tree complex wavelet transform
KW - Half sample delay condition
KW - Least squares method
KW - Shift invariance
UR - http://www.scopus.com/inward/record.url?scp=63649123900&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=63649123900&partnerID=8YFLogxK
U2 - 10.1109/DSP.2009.4785989
DO - 10.1109/DSP.2009.4785989
M3 - Conference contribution
AN - SCOPUS:63649123900
SN - 9781424436774
T3 - 2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009, Proceedings
SP - 576
EP - 581
BT - 2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009, Proceedings
T2 - 2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, DSP/SPE 2009
Y2 - 4 January 2009 through 7 January 2009
ER -