Title :
Design of two IIR digital filters using a single complex filter
Author :
Tokuda, Hirokuni ; Takahashi, Satoshi
Author_Institution :
Dept. of Electr. Eng., Keio Univ., Tokyo
Abstract :
It is shown that two properties of rational transfer functions with real coefficients are realized by means of a single complex IIR digital filter. Equivalently, the real and imaginary parts of output from a complex filter for a real input sequence correspond to real coefficient transfer function respectively. In a real signal processing, a delay operator z-1 corresponds to a real operation. In this case, a complex transfer function is formed by connecting two real transfer functions with an imaginary unit. These real functions are approximated to the desired properties and are expressed by a complex coefficient transfer function
Keywords :
Chebyshev approximation; IIR filters; delays; digital filters; filtering theory; sequences; signal processing; transfer functions; IIR digital filters design; complex Chebyshev approximation; complex IIR digital filter; complex coefficient transfer function; delay operator; imaginary part; rational transfer functions; real coefficient transfer function; real input sequence; real operation; real part; real signal processing; Approximation methods; Delay; Digital filters; Equations; Fourier transforms; Frequency response; IIR filters; Joining processes; Signal processing; Transfer functions;
Conference_Titel :
TENCON '96. Proceedings., 1996 IEEE TENCON. Digital Signal Processing Applications
Conference_Location :
Perth, WA
Print_ISBN :
0-7803-3679-8
DOI :
10.1109/TENCON.1996.608847
