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.
[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.
[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.
@article{"International Journal of Electrical, Electronic and Communication Sciences:49832", author = "Chimin Tsai", title = "Analysis of Complex Quadrature Mirror Filter Banks", abstract = "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.", keywords = "Aliasing cancellation, complex signal processing,polyphase realization, quadrature mirror filter banks.", volume = "2", number = "1", pages = "16-4", }