An algorithm for the design of multiplierless two-channel perfect reconstruction orthogonal filter banks

J. Yli-Kaakinen, T. Saramäki, and R. Bregović, "An algorithm for the design of multiplierless two-channel perfect reconstruction orthogonal filter banks," in Proc. 2004 IEEE Int. Symp. Control., Commun., Signal Process., Hammamet, Tunisia, Mar. 21–24 2004, pp. 393–396.

Digital Object Identifier: 10.1109/ISCCSP.2004.1296317

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Abstract

This paper describes an algorithm for designing multiplierless two-channel perfect-reconstruction (PR) orthogonal lattice filter banks. The advantage of the lattice implementation is that the PR property is structurally ensured even after quantizing the coefficients into very simple representation forms. The coefficient optimization is performed in three basic stages. First, a simple design scheme is used for generating an initial solution for further optimization. Second, this initial solution is used as a start-up solution for the non-linear optimization algorithm being employed for determining a parameter space of the infinite-precision coefficients including the feasible space where the filter bank meets the given criteria. The third step involves finding the coefficients in this space so that the resulting filter bank meets the given criteria with simple coefficient representation forms. An example taken from the literature illustrates that the proposed algorithm results at least in a good suboptimal finite-precision solution in a fairly short time.

BibTeX

@Article{ylikaakiISCAS04c,
  author = {J. Yli-Kaakinen and T. Saram{\"a}ki and R. Bregovi{\'c}},
  title = {An algorithm for the design of multiplierless two-channel perfect                  reconstruction orthogonal filter banks},
  booktitle = {Proc. 2004 IEEE Int. Symp. Control., Commun., Signal Process.},
  year = 2004,
  pages = {393--396},
  address = {Hammamet, Tunisia},
  month = {Mar.} # "~21--24"
}

Citing Documents

2004[1] Alexander T. Mingazin,
 "Синтез цифровых фильтров для высокоскоростных систем на кристалле," Цифровая Обработка Сигналов, no. 2, pp. 14–23, Apr. 2004.
2005 [2] Ya Jun Yu and Yong Ching Lim,
 "Signed power-of-two allocation scheme for the design of lattice orthogonal filter banks," in Proc. IEEE Int. Symp. Circuits Syst., Kobe, Japan, May. 23–26, 2005, pp. 1819–1822.
2006 [3] Sang Yoon Park and Nam Ik Cho,
 "Design of signed powers-of-two coefficient perfect reconstruction QMF bank using CORDIC algorithms," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 6, pp. 1254–1265, June 2006.
2007 [4] Alexander Mingazin,
 "Variation of initial parameters in design of multiplierless perfect reconstruction lattice FIR filter banks," in Int. Conf. Digital Signal Processing and its Applications (DSPA 2007), Moscow, Russia, Mar. 28–30, 2007, pp. 92–95.
2008 [5] Alexander Mingazin,
 "Multiplierless two-channel perfect reconstruction lattice filter bank design using spectral factor selection," in Int. Conf. Digital Signal Processing and its Applications (DSPA 2008), Moscow, Russia, Mar. 26–28, 2008, pp. 92–92.
2009 [6] Alexander Mingazin,
 "Two examples of multiplierless perfect reconstruction lattice filter bank design," in Int. Conf. Digital Signal Processing and its Applications (DSPA 2009), Moscow, Russia, Mar. 25–27, 2009, pp. 102–103.
2010 [7] Pan Huiqing, Tian Shulin, Ye Peng, and Zeng Hao,
"Adaptive signal reconstruction for timing nonuniform of parallel sampling systems," J. of Electronic Measurement and Instrument, vol. 24, no. 1, pp. 34–38, 2010.