Feasibility analysis of channel equalizers using Kharitonov-type results

Necessary and sufficient conditions for determining the robust location of the roots of a family of polynomials are presented. This family appears when multipath fading channels are considered due to the uncertainty in the channel impulse response. The uncertainty is reflected by means of confidence intervals for the channel parameters. A feasibility analysis of digital equalizers is performed in the frequency domain to determine whether the poles are to be found in a prespecified region of the complex plane. The resulting tests, which can be carried out in a graphical manner, are both analysis and design tools, which can help to decide the suitable length of a constrained equalizer. The analysis method presented resolves the location of the poles on a zero-forcing equalizer structure.<>