Abstract
A two-stage iterative method is proposed to design prototype filters for a fast filter bank with low complexity, which is aimed at controlling the optimum ripple magnitude tolerance of each filter according to the overall specifications. This problem is formulated as an optimisation problem for which the total number of multiplications is to be minimised subject to the constrained ripple in the passband and stopband. A two-stage iterative solution is proposed to solve this optimisation problem for the purpose of obtaining impulse response coefficients with low complexity at each stage. Simulations have been conducted to verify the performance of the proposed scheme and show that compared with the original method the proposed scheme can reduce the number of multiplications by about 20.02%.
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