摘要

The filter-bank based multicarrier (FBMC) system is a candidate for designing the physical layer of a cognitive radio because of its spectral efficiency and the spectral containment. The main drawback of such a system compared with orthogonal frequency division multiplexing systems is its high computation complexity, because each subcarrier is shaped by a non-rectangular prototype filter. Although poly-phase decomposition is suggested to decrease the sampling rate of filtering, the number of filtering operations (multiplications) is dramatically increased by the growing number of subcarriers and the amount of the desired spectral containment. Hence, hardware implementation of the FBMC system faces challenges such as high electrical power consumption and large silicon area occupation. In order to reduce computational complexity, a multiplierless filter design based on the canonical signed digit (CSD) representation is proposed. In this technique, at first, a prototype filter is designed. Then a pre-optimization step is employed to adapt the prototype filter coefficients to system objectives and produce an enriched initial seed for genetic algorithm (GA) optimization. Finally, a customized GA is employed to jointly optimize and synthesize filter coefficients into the finite precision CSD representation so that the system objectives such as intersymbol-interference, interchannel-interference, and stop-band attenuation remain unchanged against the full-precision representation of coefficients.

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