Adder Efficient Multiplierless Non-Uniform Filterbank Design Using Hybrid Algorithm
Ila Sharma, Nikhil Agrawal, Anil Kumar, L. K. Balyan · 2018
In this paper, an optimal design of adder efficient multiplierless non-uniform filterbank (FB) is presented with the aid of Chebyshev polynomials and hybrid optimization. An objective function is modelled for designing a prototype filter to achieve a magnitude response of 0.7071 at 3-dB cutoff frequency (ωc)=π/(2·M). Thus, the design problem is formulated as a minimization of integral mean-square error (MSE), computed as a difference of the ideal response and designed response. On differentiation with respect to filter coefficients leads to linear equations. Hybrid optimization algorithm has been used to get optimum values of weighting factors (KPand KS). For adder minimization, a newly proposed hybrid common sub-expression elimination (CSE) technique is also used and the simulation results obtained are also compared with other algorithms. It has found that the proposed filter attains high adder gain with improved reconstruction error.