Results on Optimal Biorthogonal Filter Banks
نویسنده
چکیده
Optimization of filter banks for specific input statistics has been of interest in the theory and practice of subband coding. For the case of orthonormal filter banks with infinite order and uniform decimation, the problem has been completely solved in recent years. For the case of biorthogonal filter banks, significant progress has been made recently, although a number of issues still remain to be addressed. In this paper we briefly review the orthonormal case, and then present several new results for the biorthogonal case. All discussions pertain to the infinite order (ideal filter) case. The current status of research as well as some of the unsolved problems are described.
منابع مشابه
Image Edge Detection Based on Anti-Symmetrical Biorthogonal Wavelet Filter Banks with the Same Even Length
With the development of the theory of wavelet transform, biorthogonal wavelet filter banks with linear phase and compact support characteristics are widely used in signal and image processing. We study the multiscale edge detection using anti-symmetrical biorthogonal wavelet filter banks with the same even length based on the analysis of the properties of this wavelet filter banks. The steps of...
متن کاملLifting Schemes for Biorthogonal Modulated Filter Banks
In this paper we connect the design of biorthogonal modulated filter banks with the idea of lifting schemes, which were proposed for the construction of biorthogonal wavelets. Based on this formulation, we derive a lattice-like structure for the polyphase components. As the rotationbased structures for the design and implementation of paraunitary modulated filter banks, our structure automatica...
متن کاملW Performance Evaluation of Biorthogonal Filters using Adaptive Synthesis Filter Banks for Image Compression
This paper evaluates the performance of various biorthogonal filters using adaptive synthesis filter banks for image compression. The adaptive synthesis filter banks are used to exploit the phase diversity of synthesis filters in subband coding system. Odd length biorthogonal filters are used because even length filters exhibit fractional delay in compression. It is shown that adaptive synthesi...
متن کاملDesign of two-channel IIR linear phase PR filter banks
In this paper, a novel method is proposed for designing two-channel biorthogonal perfect reconstruction filter banks with exact linear phase using noncausal IIR filters. Since the structurally perfect reconstruction implementation is adopted, the proposed filter banks are guaranteed to be a perfect reconstruction even when all filter coefficients are quantized. From the view point of wavelets, ...
متن کاملTheory of Rate { Distortion { Optimal , Constrained Filter Banks
We design lter banks that are best matched to input signal statistics in M-channel sub-band coders, using a rate{distortion criterion. Recent research has shown that unconstrained{ length paraunitary lter banks optimized under various energy compaction criteria are principal-component lter banks and satisfy two fundamental properties: total decorrelation and spectral majorization. We present se...
متن کامل