Analysis of Complex Quadrature Mirror Filter Banks

This work consists of three parts. First, the alias-free condition for the conventional two-channel quadrature mirror filter bank is analyzed using complex arithmetic. Second, the approach developed in the first part is applied to the complex quadrature mirror filter bank. Accordingly, the structure is simplified and the theory is easier to follow. Finally, a new class of complex quadrature mirror filter banks is proposed. Interesting properties of this new structure are also discussed.

Authors:



References:
[1] P. P. Vaidyanathan, Multirate Systems and Filter Banks, Englewood
Cliffs, NJ: Prentice-Hall, 1993.
[2] H. J. Nussbaumer, "Complex quadrature mirror filters," in Proc. Int.
Conf. Acoust., Speech, Signal Processing, Boston, MA, pp. 221-223,
1983.
[3] C. R. Galand and H. J. Nussbaumer, "New quadrature mirror filter
structures," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-
32, pp. 522-531, June 1984.
[4] P. A. Regalia, S. K. Mitra, and J. Fadavi-Ardekani, "Implementation of
real coefficient digital filters using complex arithmetic," IEEE Trans.
Circuits Syst., vol. CAS-34, pp. 345-35, April 1987.
[5] K. W. Martin, "Complex signal processing is not complex," IEEE Trans.
Circuits Syst. I, vol. 51, pp. 1823-1836, Sept. 2004.