## An efficient algorithm for the optimization of FIR filters synthesized using the multistage frequency-response masking approach

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

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**An efficient algorithm for the optimization of FIR filters synthesized using the multistage frequency-response masking approach.** / Yli-Kaakinen, Juha; Saramäki, Tapio; Yu, Ya Jun.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

### Harvard

*Proceedings of the IEEE International Symposium on Circuits and Systems.*IEEE, pp. 540–543, IEEE International Symposium on Circuits and Systems, Vancouver, Canada, 23/02/04. https://doi.org/10.1109/ISCAS.2004.1329709

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*Proceedings of the IEEE International Symposium on Circuits and Systems*(pp. 540–543). IEEE. https://doi.org/10.1109/ISCAS.2004.1329709

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TY - GEN

T1 - An efficient algorithm for the optimization of FIR filters synthesized using the multistage frequency-response masking approach

AU - Yli-Kaakinen, Juha

AU - Saramäki, Tapio

AU - Yu, Ya Jun

PY - 2004

Y1 - 2004

N2 - A very efficient technique to drastically reduce the number of multipliers and adders in narrow transition-band linear-phase finite-impulse response digital filters is to use the one-stage or multistage frequency-response masking (FRM) approach originally introduced by Lim. In the original synthesis techniques developed by Lim and Lian, the subfilters in the overall implementation are separately designed. As shown earlier by the first two authors of this contribution as well as Johansson, the arithmetic complexity in the one-stage FRM filter designs can be considerably reduced by using the following two-stage technique for simultaneously optimizing all the subfilters. First, a suboptimal solution is found by using a simple design scheme. Second, this solution is used as a start-up solution for further optimization being carried out by an efficient unconstrained nonlinear optimization algorithm. This paper exploits this approach for synthesizing multistage FRM filters. An example taken from the literature illustrates that both the number of multipliers and the number of adders for the resulting optimized FRM filters are approximately 70 percent compared with those of the filters synthesized using the original multistage FRM filter design schemes.

AB - A very efficient technique to drastically reduce the number of multipliers and adders in narrow transition-band linear-phase finite-impulse response digital filters is to use the one-stage or multistage frequency-response masking (FRM) approach originally introduced by Lim. In the original synthesis techniques developed by Lim and Lian, the subfilters in the overall implementation are separately designed. As shown earlier by the first two authors of this contribution as well as Johansson, the arithmetic complexity in the one-stage FRM filter designs can be considerably reduced by using the following two-stage technique for simultaneously optimizing all the subfilters. First, a suboptimal solution is found by using a simple design scheme. Second, this solution is used as a start-up solution for further optimization being carried out by an efficient unconstrained nonlinear optimization algorithm. This paper exploits this approach for synthesizing multistage FRM filters. An example taken from the literature illustrates that both the number of multipliers and the number of adders for the resulting optimized FRM filters are approximately 70 percent compared with those of the filters synthesized using the original multistage FRM filter design schemes.

U2 - 10.1109/ISCAS.2004.1329709

DO - 10.1109/ISCAS.2004.1329709

M3 - Conference contribution

SP - 540

EP - 543

BT - Proceedings of the IEEE International Symposium on Circuits and Systems

PB - IEEE

ER -