Induced infinity-norm FIR filter for recovering NIPSK-type modulus signals

Abstract

This paper proposes a method of perfectly recovering MPSK-type (multiple phase-shift keying) modulus input signals against component-wise norm-bounded disturbances via an induced co-norm finite impulse response (FIR) filter. The induced infinity-norm criterion maintains the distance between the input signals and the estimated signals within a given bound for perfectly recovering the input signals, and the FIR structure makes the system robust against temporary uncertainties or disturbances. The induced infinity-norm FIR filter is designed through solving linear matrix inequalities (LMIs) iteratively. Examples of the application to equalizers show that the induced co-norm FIR filter guarantees the perfect recovery of the MPSK-type modulus input signals. (C) 2008 Elsevier B.V. All rights reserved.