Designing filters by successive projection using multiple extreme frequency points based on Fritz John's theorem

Yasunori Sugita, Naoyuki Aikawa

Research output: Contribution to journalArticle

4 Citations (Scopus)


In this paper, we propose a design method of filters by successive projection (SP) method using multiple extreme frequency points based on Fritz John's theorem. In conventional SP method, only one extreme frequency point at which the deviation from the given specification is maximized is used in the update of the filter coefficients. Therefore, enormous amount of iteration numbers are necessary for research the solution which satisfies the given specification. In the proposed method, the updating coefficient using multiple extreme frequency points is possible by Fritz John's theorem. As a result, the solution converges less iteration number than the conventional SP method.

Original languageEnglish
Pages (from-to)2029-2036
Number of pages8
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number8
Publication statusPublished - 1 Jan 2004



  • Fritz John's theorem
  • Multiple extreme frequency points
  • Successive projection method

Cite this