Realization of Perfect Reconstruction Non-uniform Filter Banks via a Tree Structure
نویسندگان
چکیده
It is well known that a tree structure filter bank can be realized via a non-uniform filter bank, and perfect reconstruction is achieved if and only if each branch of the tree structure can provide perfect reconstruction. In this paper, the converse of this problem is studied. We show that a perfect reconstruction non-uniform filter bank with decimation ratio {2,4,4} can be realized via a tree structure and each branch of the tree structure achieves perfect reconstruction.
منابع مشابه
Set of Perfect Reconstruction Non-uniform Filter Banks via a Tree Structure
In this paper, we propose a novel method to test if a non-uniform filter bank can achieve perfect reconstruction via a tree structure. The set of decimators is first sorted in an ascending order. A non-uniform filter bank can achieve perfect reconstruction via a tree structure if and only if some or all of the channels corresponding to the maximum decimation ratio can be grouped into one channe...
متن کاملSet of Perfect Reconstruction Non-uniform Filter Banks via a Tree Structure
In this paper, we propose a novel method to test if a non-uniform filter bank can achieve perfect reconstruction via a tree structure. The set of decimators is first sorted in an ascending order. A non-uniform filter bank can achieve perfect reconstruction via a tree structure if and only if some or all of the channels corresponding to the maximum decimation ratio can be grouped into one channe...
متن کاملNonuniform Nonunitary Perfect Reconstruction Filter Banks for Image Coding
Unitary and nonunitary lter banks with uniform frequency separation have been extensively studied in the past. Improvement in coding gain has been achieved when allowing for nonunitary lter banks in image coders. Subjective improvements can be achieved by employing nonuniform lter banks. The paper presents a method to construct nonuniform nonunitary perfect reconstruction lter banks. A polyphas...
متن کاملAn Efficient Algorithm to Design Nearly Perfect-Reconstruction Two-Channel Quadrature Mirror Filter Banks
In this paper, a novel technique for the design of two-channel Quadrature Mirror Filter (QMF) banks with linear phase in frequency domain is presented. To satisfy the exact reconstruction condition of the filter bank, low-pass prototype filter response in pass-band, transition band and stop band is optimized using unconstrained indirect update optimization method. The objective function is form...
متن کاملNew results and open problems on nonuniform filter-banks
Nonuniform lter-banks (FB's) have traditionally been built either by cascading uniform ones in a tree structure or by direct design methods that lead to near-perfect reconstruction. However many theoretical issues remain unresolved. This paper begins by pointing out a number of these issues , and summarizes the known conditions for existence of nonuniform perfect reconstruction (PR) FB's. As a ...
متن کامل