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841
Ladder structures for Multidimensional Linear Phase Perfect Reconstruction filter banks and Wavelets
, 1992
"... The design of multidimensional filter banks and wavelets have been areas of active research for use in video and image communication systems. At the same time efficient structures for the implementation of such filters are of importance. In 1-D, the well known lattice structure and the recently intr ..."
Abstract
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Cited by 13 (2 self)
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was introduced for the design and efficient implementation of 1-D perfect reconstructing filter banks (PRFB) [1]. These structures have the advantage of not only being insensitive to coefficient quantization but, under fairly general conditions, also to quantization of intermediate results. In [6] it is shown
Nonuniform Nonunitary Perfect Reconstruction Filter Banks for Image Coding
- in Proc. NORSIG
, 1995
"... Unitary and nonunitary filter banks with uniform frequency separation have been extensively studied in the past. Improvement in coding gain has been achieved when allowing for nonunitary filter banks in image coders. Subjective improvements can be achieved by employing nonuniform filter banks. The p ..."
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Cited by 1 (1 self)
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. The paper presents a method to construct nonuniform nonunitary perfect reconstruction filter banks. A polyphase matrix representation of nonuniform parallel filter banks is given for octave band splitting. In this case, results show that the parallel filter banks tend to become the tree-structured filter
A PERFECT RECONSTRUCTION FILTER BANK WITH IRRATIONAL DOWN-SAMPLING FACTORS
"... Abstract—Most of the existing methods designed to implement fractional interpolation and decimation are limited by rational scaling factors such as L/M, where L and M are positive integers. The general procedure is usually done with up-sampling by L first, and then followed by down-sampling by M. Th ..."
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. This scheme, however, requires two steps to fulfill and is not capable in dealing with irrational scaling factors, which can not be represented by L/M. In this paper, we propose a new method to solve the above two difficulties by a single step. Furthermore, a perfect reconstruction filter bank is derived
Design for Stable IIR Perfect Reconstruction Filter Banks Using Allpass Filters
"... This paper presents a new method for designing two-channel IIR linear phase filter banks that satisfy both the perfect reconstruction and stability conditions, using allpass filters. Using the perfect reconstruction condition for filter banks, we first offer a class of structurally perfect reconstru ..."
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This paper presents a new method for designing two-channel IIR linear phase filter banks that satisfy both the perfect reconstruction and stability conditions, using allpass filters. Using the perfect reconstruction condition for filter banks, we first offer a class of structurally perfect
ON THE DESIGN OF ANALYSIS/SYNTHESIS FILTERS FOR A 2-CHANNEL, PERFECT RECONSTRUCTION FILTER BANK
, 1993
"... Abstract--This paper will review a design technique for analysis and synthesis filters used in a 2-channel, perfect reconstruction filter bank. Emphasis will be on actual design of the filters within the filter bank structure using MATLAB. 1 ..."
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Abstract--This paper will review a design technique for analysis and synthesis filters used in a 2-channel, perfect reconstruction filter bank. Emphasis will be on actual design of the filters within the filter bank structure using MATLAB. 1
M-channel Linear Phase Perfect Reconstruction Filter Bank with Rational Coefficients
- IEEE Trans. on Signal Processing
, 1999
"... This paper introduces a general class of M-channel linear phase perfect reconstruction lter banks with rational coefficients. A subset of the presented solutions has dyadic coefficients, leading to multiplierless implementations suitable for low-power mobile computing. All of these filter banks are ..."
Abstract
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Cited by 36 (19 self)
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This paper introduces a general class of M-channel linear phase perfect reconstruction lter banks with rational coefficients. A subset of the presented solutions has dyadic coefficients, leading to multiplierless implementations suitable for low-power mobile computing. All of these filter banks
Perfect Reconstruction Filter Banks Induced by Windowed Unitary Transformations
"... Replacing the kernel of the Fourier transformation by an arbitrary kernel of a unitary integral transformation, the sliding-window Fourier transformation and the wavelet transformation are generalized. This leads to so-called windowed unitary transformations. Perfect reconstructing formulas are dedu ..."
Abstract
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Cited by 1 (0 self)
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bank theory. This subsampling is associated with an analysis filter bank. Thus, the problem is formulated to reconstruct (stably and perfectly) the signal from its windowed unitary spectrum using filter banks. The Kautz and the Laguerre transformations are treated as examples. Keywords--- Unitary
A Statistically Matched Perfect Reconstruction Filter Bank for Stationary Processes
"... Abstract — In this paper we propose an approach for finding a Perfect Reconstruction (PR) filter bank, which is optimally matched to a given stationary random sequence with strictly positive power spectral density (psd). The filter bank is obtained from the second order statistics of the random sequ ..."
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Abstract — In this paper we propose an approach for finding a Perfect Reconstruction (PR) filter bank, which is optimally matched to a given stationary random sequence with strictly positive power spectral density (psd). The filter bank is obtained from the second order statistics of the random
Padé Table, Continued Fraction Expansion and Perfect Reconstruction Filter Banks
, 1996
"... We investigate the relationships among the Pad'e table, continued fraction expansions and perfect reconstruction (PR) filter banks. We show how the Pad'e table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) filter banks. ..."
Abstract
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Cited by 1 (0 self)
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We investigate the relationships among the Pad'e table, continued fraction expansions and perfect reconstruction (PR) filter banks. We show how the Pad'e table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) filter banks
Results 11 - 20
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841