Image coding using wavelets based on two-channel linear phase orthogonal IIR filter banks

Uto, Toshiyuki; Okuda, Masahiro; Ikehara, Masaaki; Takahashi, Shinichi

doi:10.1109/icip.1999.822897

Cited by 5 publications

(1 citation statement)

References 7 publications

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“…Although exactly linear phase IIR filters are either unstable or noncausal, low complexity techniques for handling noncausality in block-based applications are well documented (see, e.g., [8]- [10]). They make IIR filters with exactly linear phase practicable in various applications, especially in image processing [11]- [13]. Moreover, a triplet of linear phase IIR HB filters can be used to construct a two-channel perfect reconstruction linear phase filter banks [14], [15].…”

Section: Introductionmentioning

confidence: 99%

Design of Exactly Linear Phase $K$-Regular IIR Half-Band Filter

Hoang

Tuan

Nguyen³

et al. 2008

IEEE Trans. Circuits Syst. II

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This paper proposes a novel method to design exactly linear phase infinite impulse response half-band filters with arbitrary regularity. Broadly speaking, the design problem is formulated as a semi-infinite program, which is then turned into a semidefinite program of minimal order via a new linear matrix inequality characterization of convex hulls of trigonometric polynomials. In contrast to maximally flat approach, the proposed method allows direct control of various design parameters, which in turn enables the synthesis of filters with better transition response. The viability of the proposed method is demonstrated through several numerical examples.Index Terms-Half-band, infinite impulse response (IIR), linear phase filters, semidefinite programming (SDP).

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