Abstract
In this paper, a method to design the two-channel FIR linear-phase (LP) face-centred orthorhombic (FCO) filter banks with equiripple magnitude responses and perfect-reconstruction (PR) is presented. The necessary conditions of lengths of LP FCO filter banks satisfying the PR constraint are derived. An interior-point algorithm is utilized to optimize the peak ripples of the analysis filters and a first-order approximation skill is introduced to satisfy the PR constraint. The simulation example is presented to illustrate the effectiveness of this proposed design technique.
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References
Adler I., Resende M.G.C., Veiga G., Karmarkar N. (1989). An implementation of Karmarkar’s algorithm for linear programming. Math. Programming 44, 297–335
Chao H.C., Chieu B.C., Yang S.J., Lee J.H. (1998). Minimax Design of two-dimensional FIR linear-phase Quincunx filter banks satisfying perfect reconstruction. IEICE Transactions on Fundamentals E81-A: 2370–2382
Horng B.R., Willson Jr. A.N. (1992). Lagrange multiplier approaches to the design of two-channel perfect-reconstruction linear-phase FIR filter banks. IEEE Transactions on Signal Processing 40, 364–374
Kovacevic J., Vetterli M. (1993). FCO sampling of digital video using perfect reconstruction filter banks. IEEE Transaction Image Processing 2, 118–122
Kovacevic J., Vetterli M. (1995). Nonseparable two- and three-dimensional wavelets. IEEE Transaction on Signal Processing 43, 1269–1273
Nguyen T.Q., Vaidyanathan P.P. (1989). Two-channel perfect-reconstruction FIR QMF structures which yield linear-phase analysis and synthesis filters. IEEE Transactions on Acoustics, Speech, Signal Processing 37, 676–690
Shyu J.J., Pei S.C., Lin Y.C. (1996). Finite-wordlength design of 2-D FIR digital filters for sampling structure conversion. Signal Processing 55, 305–311
Strang G. (1988). Linear algebra and its applications. San Diego, Harcourt Brace Jovanovich Inc
Tay D.B.H. (2000). Analytical design of 3-D wavelet filter banks using the multivariate Bernstein polynomial. IEE Proceedings-Vision, Image and Signal Processing 147, 122–130
Tay D.B.H. (2002). Parametric Bernstein polynomial for least squares design of 3-D wavelet filter banks. IEEE Transactions on ircuits and Systems, Part-I 49: 887–891
Tay D.B.H., Kingsbury N.G. (1996). Design of nonseparable 3-D filter banks/wavelet bases using transformations of variables. IEE Proceedings-Vision Image and Signal Processing 143, 51–61
Vaidyanathan P.P. (1993). Multirate systems and filter banks. Englewood Cliffs, NJ: Prentice Hall
Vaidyanathan P.P., Mitra S.K. (1988). Polyphase networks, block digital filtering, LPTV systems, and Alias-Free QMF banks: A unified approach based on pseudocirculants. IEEE Transactions on Acoustics, Speech and Signal Processing 36: 381–391
Woods J.W., O’Neil S.D. (1986). Subband coding of images. IEEE Transactions on Acoustics, Speech, Signal Processing 34, 1278–1288
Xu H., Lu W.S., Antoniou A. (1998). An improved method for the design of FIR quadrature mirror-image filter banks. IEEE Transactions on Signal Processing 46: 1275–1281
Yang S.J., Lee J.H., Chieu B.C. (1998). Perfect-reconstruction filter banks having linear-phase FIR filters with equiripple response. IEEE Transactions on Signal Processing 46: 3246–3255
Yang S.J., Lee J.H., Chieu B.C. (1999). Minimax design of two-channel low-delay perfect- FIR filter banks. IEE Proceedings-Vision, Image and Signal Processing 146, 15–24
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Chao, HC., Lin, CH. & Chieu, BC. Design of face-centred orthorhombic filter banks. Multidim Syst Sign Process 18, 31–45 (2007). https://doi.org/10.1007/s11045-006-0013-9
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DOI: https://doi.org/10.1007/s11045-006-0013-9