The improvement of the successive projections method having the optimum solution in the Chebyshev sense

Yasunori Sugita, Naoyuki Aikawa

Research output: Contribution to conferencePaper

Abstract

In the previous successive projections (SP) method, we obtained the solution satisfying the prescribed allowable deviation from the desired frequency response. However, this solution is not necessarily an optimum in the Chebyshev sense. In this paper, we propose the improvement of the SP method so that the obtained solution becomes an optimum in the Chebyshev sense. Then, in the proposed method, the average of local maximum error in the nth iteration is selected as the maximum allowable deviation in the next iteration. The algorithm is iterated until the absolute maximum error between the desired frequency response and designed response becomes equiripple.

Original languageEnglish
Pages86-89
Number of pages4
Publication statusPublished - 7 Nov 2003
Event2003 IEEE Pacific Rim Conference on Communications Computers and Signal Processing (PACRIM 2003) - Victoria, B.C., Canada
Duration: 28 Aug 200330 Aug 2003

Conference

Conference2003 IEEE Pacific Rim Conference on Communications Computers and Signal Processing (PACRIM 2003)
CountryCanada
CityVictoria, B.C.
Period28/08/0330/08/03

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Sugita, Y., & Aikawa, N. (2003). The improvement of the successive projections method having the optimum solution in the Chebyshev sense. 86-89. Paper presented at 2003 IEEE Pacific Rim Conference on Communications Computers and Signal Processing (PACRIM 2003), Victoria, B.C., Canada.