A novel technique for the design and DCGA optimization of guaranteed BIBO stable Jaumann digital IF filters over the CSD multiplier coefficient space

Intermediate Frequency (IF) filters find diverse practical applications in modern communication systems. This paper presents a novel technique for the design and discrete optimization of guaranteed BIBO stable digital IF filters over the canonical signed-digit (CSD) multiplier coefficient space. This technique consists of two separate stages. In the first stage, the bilinear-LDI Jaumann digital filter design approach is employed to obtain an infinite-precision digital IF filter satisfying the given design specifications approximately. In the second stage, a diversity-controlled (DC) genetic algorithm (GA) is employed for the (discrete) optimization of the resulting Jaumann digital IF filter over the CSD multiplier coefficient space satisfying the design specifications fully. A novel LUT-based scheme is introduced to ensure that the resulting CSD Jaumann digital IF filter is automatically BIBO stable. The proposed approach is illustrated through its application to a rapid optimization (within 328 DCGA generations) of a three-sectioned eighteenth-order AMPS digital IF filter operating around a center frequency of 455 kHz.