DocumentCode :
1171805
Title :
Filters approximating ideal amplitude and arbitrary phase characteristics
Author :
Rhodes, John David
Volume :
20
Issue :
2
fYear :
1973
fDate :
3/1/1973 12:00:00 AM
Firstpage :
120
Lastpage :
124
Abstract :
The closed-form solution is derived for the scattering transfer function S_{12}(p) of a resistively terminated lossless reciprocal two-port prototype network of degree 2n which satisfies the following constraints: |S_{12}(j\\omega ) | \\leq 1 |S_{12}({\\pm}j{\\omega }_i) | = 1 , i = 1 \\rightarrow n \\arg S_{12}({\\pm}j{\\omega }_i) = \\pm \\psi({\\omega }_i), i = 1 \\rightarrow n where the \\omega _i are arbitrary and \\psi(\\omega ) is any odd function. The solution is obtained in terms of the arbitrary phase polynomials of the first and second kinds, which are capable of being generated through simple recurrence formulas.
Keywords :
Filters; Linear-phase filters; Maximally-flat-amplitude filters; Chirp modulation; Frequency modulation; Linear approximation; Linearity; Microwave filters; Phase distortion; Phase modulation; Polynomials; Prototypes; Transfer functions;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1973.1083626
Filename :
1083626
Link To Document :
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