Previously the envelope-constrained filtering problem was formulated as designing an FIR filter such that the filter's L2 norm is minimised subject to the constraint that its response to a specified input pulse lies within a prescribed envelope. We recast this filter design problem as a frequency-domain L∞ optimization problem with time-domain constraints. Motivations for solving this problem are given. Then infinite dimensional linear programming techniques are used for the design of the required FIR filter. For illustration, we apply the approach to a numerical example which deals with the design of an equalization filter for a digital transmission channel
Published in:
Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on
(Volume:3
)
Date of Conference: 12-15 May 1998