Multiplierless Realization of Linear DSP Transforms by Using Common Two-Term Expressions
Journal of VLSI Signal Processing Systems
Permutation Based Design of Orthogonal Block Transformsand Filter Banks
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Journal of VLSI Signal Processing Systems
Multiscale Segmentation of Document Images Using M -Band Wavelets
CAIP '01 Proceedings of the 9th International Conference on Computer Analysis of Images and Patterns
IEEE Transactions on Pattern Analysis and Machine Intelligence
Matrix factorizations for reversible integer implementation of orthonormal M-band wavelet transforms
Signal Processing - Special section: Advances in signal processing-assisted cross-layer designs
Persian/arabic handwritten word recognition using M-band packet wavelet transform
Image and Vision Computing
WAMUS'05 Proceedings of the 5th WSEAS International Conference on Wavelet Analysis and Multirate Systems
Design of three-channel filter banks for lossless image compression
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
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This paper presents a new design technique for obtaining M-band orthogonal coders where M=2i. The structures obtained using the proposed technique have the perfect reconstruction property. Furthermore, all filters that constitute the subband coder are linear-phase FIR-type filters. In contrast with conventional design techniques that attempt to find a unitary alias-component matrix in the frequency domain, we carry out the design in the time domain, based on time-domain orthonormality constraints that the filters must satisfy. The M-band design problem is reduced to the problem of finding a suitable lowpass filter h0(n). Once a suitable lowpass filter is found, the remaining (M-1) filters of the coder are obtained through the use of shuffling operators on the lowpass filter. This approach leads to a set of filters that use the same numerical coefficient values in different shift positions, allowing very efficient numerical implementation of the subband coder. In addition, by imposing further constraints on the lowpass branch impulse response h0(n), we are able to construct continuous bases of M-channel wavelets with good regularity properties. Design examples are presented for four-, eight-, and 16-band coders, along with examples of continuous wavelet bases that they generate