Abstract
FIR filter is an important type of filter in the field of signal processing because of its inherent stability, simpler structure, and easier implementation on linear phase. WCA is used to solve FIR filter design with low magnitude error and linear phase in passband. This method uses WCA to optimize the filter coefficient based on the low magnitude errors in all frequency domains. Moreover, in the constraint conditions, the least group delay in passband is used for the optimization. The experiments testify this method has good performance on the passband error and group delay error in the passband. Therefore this method is an efficient algorithm for FIR filter optimization which can be used in the digital signal processing widely.
Highlights
FIR filter is an important type of filter in the field of signal processing because of its inherent stability, simpler structure, and easier implementation on linear phase
Water cycle algorithm (WCA) is used to solve FIR filter design with low magnitude error and linear phase in passband. This method uses WCA to optimize the filter coefficient based on the low magnitude errors in all frequency domains
In the constraint conditions, the least group delay in passband is used for the optimization
Summary
FIR filter is an important type of filter in the field of signal processing because of its inherent stability, simpler structure, and easier implementation on linear phase [1]. The linear phase in entire frequency domain can be achieved using the classic design method for FIR filters. Some optimization methods can obtain very good amplification-frequency characteristic, but not realize the linear phase. How to design an asymmetric coefficient FIR filter with excellent amplification-frequency characteristic and linear phase is an interesting study [2] [3] [4] [5] [6]. Water cycle algorithm (WCA) [7] is a metaheuristic optimizer which is to solve the constrained engineering optimization problems. This algorithm simulates the process of water cycle in nature. WCA is applied in phase optimization in the process of our FIR design
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