Induced ∞-norm FIR filter for recovering MPSK-type modulus signals

Authors:
PooGyeon Park;Sung Wook Yun
Affiliations:
Electrical and Computer Engineering Division, Pohang University of Science and Technology, Pohang, Kyungbuk, 790-784, Republic of Korea;Electrical and Computer Engineering Division, Pohang University of Science and Technology, Pohang, Kyungbuk, 790-784, Republic of Korea
Venue:
Signal Processing
Year:
2008

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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 ~-norm finite impulse response (FIR) filter. The induced ~-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 ~-norm FIR filter is designed through solving linear matrix inequalities (LMIs) iteratively. Examples of the application to equalizers show that the induced ~-norm FIR filter guarantees the perfect recovery of the MPSK-type modulus input signals.