兩帶自適應(yīng)FIR線性相位雙正交濾波器組設(shè)計(jì)
Design of Signal-Adapted Two-Band Biorthogonal Linear Phase Filter Banks
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摘要: 自適應(yīng)濾波器組設(shè)計(jì)是多速率濾波器組理論和應(yīng)用的一個(gè)重要方面。由于其頻率響應(yīng)更好匹配于輸入信號的統(tǒng)計(jì)特性,這類濾波器組可獲得更大的子帶編碼增益。該文研究了兩帶自適應(yīng)FIR線性相位雙正交濾波器組的設(shè)計(jì)問題,給出了設(shè)計(jì)算法,特別是通過最優(yōu)IIR雙正交濾波器組確定初始點(diǎn)(初始濾波器組)的方法。仿真結(jié)果表明,得到的濾波器組的子帶編碼增益遠(yuǎn)遠(yuǎn)超過了最優(yōu)的IIR正交濾波器組,與已有的設(shè)計(jì)結(jié)果比較,編碼增益明顯提高。
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關(guān)鍵詞:
- 主分量濾波器組;子帶編碼增益;線性相位;最優(yōu)IIR雙正交濾波器組
Abstract: Signal-adapted institute of filter banks are an important subject in the theory and applications of the multirate filter banks.Since the frequency responses match the statistics of the underlying signals very well, these filter banks achieve the larger subband coding gains. This paper investigates the design of two-band signal-adapted biorthogonal linear phase filter banks and gives the design algorithm, in particular, the method to determine the initial points (initial filter banks) with the optimal IIR biorthogonal filter banks that is easy to be obtained. The result of emulation indicates that the subband coding gains of the resulted filter banks are excess those of the optimal IIR paraunitary filter banks much, and comparing with the existing results the subband coding gains are markedly improved. -
Tsatsanis M K,Giannakis G B. Principal component filter banks for optimal multiresolution analysis[J].IEEE Trans. on Signal Processing.1995, 43(8):1766-1777[2]Moulin P, Antesuc M, Kortanek K O, Potra F A. The role of linear semi-infinite programming in signal-adapted QMF bank design[J].IEEE Trans. on Signal Processing.1997, 45(9):2160-2174[3]Kirac A, Vaidyanathan P P. Theory and design of optimum FIR compaction filters. IEEE Trans. on Signal Processing, 1998, 6(4): 903-919.[4]Vaidyanathan P P, Kirac A. Result on optimal biorthogonal filter banks. IEEE Trans. on Circuits and System II, 1998, 5(8): 932-947.[5]Moulin P, Anitescu M, Ramchandran K. Theory of rate-distortion optimal, constrained filterbanksApplication to IIR and FIR biorthogonal designs[J].IEEE Trans. on Signal Processing.2000, 48(4):1120-1132[6]Sweldens W. The lifting scheme: A custom-design construction of biorthogonal wavelets[J].Appl. Comput. Harmon. Anal.1996, 3(2):186-200[7]Shui Penglang, Bao Zheng. Recursive biorthogonal interpolating wavelets and signal-adapted interpolating filter banks. IEEE Trans. on Signal Processing, 2000, 47(9): 2585-2594.[8]Shui Penglang, Bao Zheng, et al.. Two-channel adaptive biorthogonal filter banks via lifting[J].Signal Processing.2002, 82(5):881-893[9]Lu Wu-Sheng, Antoniou A. Design of signal-adapted biorthogonal filter banks[J].IEEE Trans. on Circuits and Systems I.2001, 48(1):90-102[10]Cohen A, Daubechies I, Feauveau J C. Biorthogonal bases of compactly supported wavelet. Communications on Pure and Applied Mathematics, 1992, Vol. XLV: 485-560.[11]Usevith B E. A tutorial on modern lossy wavelet image compression: foundations of JPEG 2000[J].IEEE Signal Processing Magazine.2001, 18(5):36-57 -
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