Design of sparse frequency-response masking filters with arbitrary delay using li-Minimization

Qinglai Liu, Yong Ching Lim, Zhiping Lin · 2017

The frequency-response masking (FRM) filters can achieve arbitrary delay if all of the subfilters are nonlinear phase finite impulse response (FIR) filters. However, its arithmetic complexity is inevitably increased. In this paper, we propose a three-stage method to increase the number of zero-valued coefficients. In Stage I and Stage II of our approach, the l1-norm of the coefficient values is included as a component of the objective function to be minimized. Simulation results show that the proposed method produces arbitrary delay FRM filters with significantly reduced arithmetic complexity compared to the method without optimizing the sparsity.

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