Filters approximating ideal amplitude and arbitrary phase characteristics
- 1 March 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 20 (2) , 120-124
- https://doi.org/10.1109/tct.1973.1083626
Abstract
The closed-form solution is derived for the scattering transfer functionS_{12}(p)of a resistively terminated lossless reciprocal two-port prototype network of degree2nwhich 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 nwhere the\omega_iare 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
This publication has 6 references indexed in Scilit:
- Filter with periodic phase delay and insertion-loss rippleProceedings of the Institution of Electrical Engineers, 1972
- Generalized interdigital linear phase networks with optimum maximally flat amplitude characteristicsIEEE Transactions on Circuit Theory, 1970
- A Low-Pass Prototype Network for Microwave Linear Phase FiltersIEEE Transactions on Microwave Theory and Techniques, 1970
- Generalized Interdigital Linear Phase FilterIEEE Transactions on Microwave Theory and Techniques, 1970
- The Generalized Direct-Coupled Cavity Linear Phase FilterIEEE Transactions on Microwave Theory and Techniques, 1970
- The Design and Synthesis of a Class of Microwave Bandpass Linear Phase FiltersIEEE Transactions on Microwave Theory and Techniques, 1969