A new approach to recursive mirror filters with a special application in subband coding of images

A novel method for applying recursive mirror filters (RMF) in applications where infinite delay can be tolerated is presented. This type of situation can be found in several circumstances, but the method has its main applications in a technique of subband coding of images which was presented by J.W. Woods and S.D. O'Neill (ibid., vol.ASSP-34, p.1278-88, Oct. 1986). In image coding, a delay is only a shift in a spatial coordinate. The present method has looser filter constraints than previous recursive quadrature mirror filter (QMF) techniques, but may in certain applications require a large memory. Contrary to earlier recursive-QMF techniques, this approach leads to a linear phase characteristic, a property that is vital in image coding. >

[1]  Torbjörn Kronander.  Sampling of Bandpass Pyramids , 1987, IEEE Trans. Commun..

[2]  C. Galand,et al.  New quadrature mirror filter structures , 1984 .

[3]  P. C. Millar,et al.  Recursive quadrature mirror filters-Criteria specification and design method , 1985, IEEE Trans. Acoust. Speech Signal Process..

[4]  James L. Flanagan,et al.  Digital coding of speech in sub-bands , 1976, The Bell System Technical Journal.

[5]  John W. Woods,et al.  Subband coding of images , 1986, IEEE Trans. Acoust. Speech Signal Process..

[6]  P. Vaidyanathan,et al.  Theory and design of uniform DFT, parallel, quadrature mirror filter banks , 1986 .

[7]  M. Vetterli.  Multi-dimensional sub-band coding: Some theory and algorithms , 1984 .

[8]  Mark J. T. Smith,et al.  Subband coding of images with octave band tree structures , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[9]  P. P. Vaidyanathan,et al.  Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property , 1987, IEEE Trans. Acoust. Speech Signal Process..

[10]  Mark J. T. Smith,et al.  Exact reconstruction techniques for tree-structured subband coders , 1986, IEEE Trans. Acoust. Speech Signal Process..

[11]  Josef A. Nossek,et al.  Reconstruction of signals after filtering and sampling rate reduction , 1984, ICASSP.

[12]  Paul C. Millar.  Mirror filters with minimum delay responses for use in subband coders , 1984, ICASSP.

[13]  D. Esteban,et al.  Application of quadrature mirror filters to split band voice coding schemes , 1977 .

[14]  Lajos Gazsi,et al.  Explicit formulas for lattice wave digital filters , 1985 .