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A dual approach to continuous-time envelope-constrained filter design via orthonormal filters

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4 Author(s)
Chien Hsun Tseng ; Australian Telecommun. Res. Inst., Curtin Univ. of Technol., Perth, WA, Australia ; Kok Lay Teo ; Zhuquan Zang ; A. Cantoni

The envelope-constrained (EC) filtering problem was initially posed in the continuous-time domain as a constrained L2 space optimization problem. However, only the discretized version has been solved, using various approaches. In this paper we consider the continuous-time EC filtering problem formulated using an orthonormal basis defined on a Hilbert vector space. Caratheodory's theorem and the dual parametrization method are used to obtain a dual finite-dimensional optimization problem. Two iterative algorithms based on the gradient flow technique are then developed for solving this dual problem. The design of an EC optimal equalization filter for a communication channel is solved to illustrate the effectiveness of the proposed algorithm

Published in:

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications  (Volume:46 ,  Issue: 9 )