Theory and Procedure for Optimization of Low Pass Attenuation Characteristics
- 1 December 1964
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 11 (4), 449-456
- https://doi.org/10.1109/TCT.1964.1082354
Abstract
This paper is concerned with the problem of obtaining an insertion-loss function having a preassigned equal ripple in the pass band, and satisfying attenuation requirements with a maximum possible margin over the stop band. A major problem is involved in choosing attenuation poles so as to maximize the minimum of the difference between the attenuation function and the attenuation specification function. The existence and uniqueness of an optimal solution to this min-max problem are demonstrated in this paper. A simple optimality criterion is established as a necessary and sufficient condition, and this clarifies the nature of the problem. An iterative numerical procedure, suitable for digital computers, is supplied with proof of convergence. An illustrative example is also included.Keywords
This publication has 2 references indexed in Scilit:
- New algorithms for synthesized design of optical filtersApplied Optics, 1985
- Synthesis of Reactance 4‐Poles Which Produce Prescribed Insertion Loss Characteristics: Including Special Applications To Filter DesignJournal of Mathematics and Physics, 1939