Title :
A novel method for generating complex half-band filters
Author :
Elfataoui, Mohamed ; Mirchandani, Gagan
Author_Institution :
Dept. of Electr. & Comput. Eng., Vermont Univ., Burlington, VT, USA
Abstract :
We propose a simple, novel and efficient method for generating complex half-band FIR filters, which we use in the generation of discrete-time analytic (DTA) signals. These filters have properties of linear phase and real-time implementation while the DTA signals generated are orthogonal and invertible (the original real signal is recoverable). The filter design, in contrast to some other methods, is easily scalable and stable. The new method is evaluated for performance (i.e. aliasing) by comparing its shiftability property with that of other transforms. Using a total variation measure for determining function variation, we see that its shiftability either matches or exceeds that of other methods. Furthermore, this design method lends itself to an enhancement, thereby allowing additional improvement in shiftability. We prove an important theoretical aspect of the new method: the amplitude spectrum of the length N filter converges almost everywhere to the ideal complex half-band amplitude spectrum as N → +∞, thereby assuring shiftability.
Keywords :
FIR filters; discrete time filters; linear phase filters; numerical stability; real-time systems; DTA signals; FIR filter generation; amplitude spectrum; complex half-band filters; convergence; discrete-time analytic signals; ideal complex half-band amplitude spectrum; invertible signals; linear phase filters; orthogonal signals; performance; real-time implementation; scalable stable filter; shiftability property; total variation measure; Convergence; DC generators; Discrete Fourier transforms; Finite impulse response filter; Frequency domain analysis; IIR filters; Image analysis; Nonlinear filters; Signal analysis; Signal generators;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
Print_ISBN :
0-7803-8874-7
DOI :
10.1109/ICASSP.2005.1416025