Title :
The approximation of arbitrary complex filter responses
Author :
Teplechuk, M.A. ; Sewell, J.I.
Author_Institution :
Dept. of Electron. & Electr. Eng., Glasgow Univ.
Abstract :
Approximation and design methods of a general class of IIR complex functions without any required symmetrical property are examined. A set of routines has been developed to allow arbitrary amplitude approximation of such asymmetrical functions. Approximation routines will include such features as high-order touch points in both passband and stopband regions, fixed poles and zeros and arbitrary frequency template shaping. These features, in conjunction with a Remez approximation algorithm, will permit the development of functions that realise any reasonable arbitrary shape and form of the transfer function. Approximation routines have been implemented in the XFILTER design software and a number of examples, demonstrating efficiency and flexibility of the proposed approximation method
Keywords :
IIR filters; approximation theory; poles and zeros; transfer functions; IIR complex functions; XFILTER design software; amplitude approximation; approximation algorithm; arbitrary complex filter response; asymmetrical functions; passband regions; poles and zeros; stopband regions; transfer function; Approximation algorithms; Approximation methods; Design methodology; Frequency; IIR filters; Passband; Poles and zeros; Shape; Software design; Transfer functions;
Conference_Titel :
Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on
Conference_Location :
Island of Kos
Print_ISBN :
0-7803-9389-9
DOI :
10.1109/ISCAS.2006.1692888
