Variable-phase filter design using linear-programming technique. Issue 3 (2nd July 2016)

• Record Type: Journal Article
• Authors: Deng, Tian-Bo
• Is Part Of: International journal of electronics letters. Volume 4:Issue 3(2016)
• Page Start: 345
• Page End: 356
• Publication Date: 2016-07-02
• Subjects: variable-phase (VP) -- VP digital filter -- minimax design -- maximum error -- recursive VP filter -- stability guarantee; Electronics -- Periodicals; Electronics; Periodicals; 621.38105
• DOI: 10.1080/21681724.2015.1036797
• Languages: English
• ISSNs: 2168-1732

Abstract

Abstract : Variable-phase (VP) digital filter can change its phase response during the online digital-signal processing (DSP). This paper proposes a linear-programming (LP) method for designing a VP filter in the minimax error sense, i.e., the maximum phase error is minimised. The mathematical model used to approximate a desired VP response (VP specification) is an all-pass transfer function whose numerator and denominator have exactly the same coefficients. In this paper, we first derive a frequency-response error that is a non-linear function of the VP filter coefficients, and then approximate this frequency response as a linear function of the VP filter coefficients. Consequently, the minimax design of the VP filter reduces to a linear minimisation problem, which is solved through using an LP solver. We will use an example to demonstrate that the proposed LP-based VP design technique can obtain an all-pass VP filter with high accuracy. Moreover, the stability of the designed all-pass VP filter is also guaranteed.