Title :
Optimal Use of Some Classical Approximations in Filter Design
Author :
Dimopoulos, Hercules G.
Author_Institution :
Technol. Educ. Inst. of Piraeus, Egaleo
Abstract :
The classical Butter worth, Chebyshev and Elliptic (Cauer) low-pass filter approximations can be used in the design of analog and IIR digital filters in such a way as to obtain passband, stopband and transition band optimized filters at no order cost. The exact analytical relationships for such an optimal deployment of these approximations are developed and presented in this paper and their use is demonstrated through design examples.
Keywords :
Butterworth filters; Chebyshev filters; IIR filters; analogue circuits; approximation theory; band-pass filters; elliptic filters; filtering theory; low-pass filters; Chebyshev low-pass filter approximations; IIR digital filters; analog digital filters; elliptic low-pass filter approximations; filter design; Band pass filters; Chebyshev approximation; Design optimization; Digital filters; Equations; Filtering theory; Frequency; IIR filters; Low pass filters; Passband; Butterworth; Cauer; Chebyshev; elliptic filters; equiripple filters; filter approximations; filter theory; filters;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.900345
