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Abstract: We find a simple closed form expression for an efficient class of Quadrature Mirror Filters (QMFs) by exploiting the inherent symmetry of the QMF property. We derive a simple rule of thumb to calculate the maximum feasible frequency selectivity of the filter for a given number N of filter taps. We show that, for even n, the frequency selectivity of a 2n + 1 or 2n tap filter can be increased if and only if the number of taps is increased by at least 4. Most existing QMFs closely match the... (Update)
Context of citations to this paper: More
...that the ensemble of subsignals can be used to reconstruct the original signal. The basic theory on QMF banks is exposed in [23] while [24] and [25] present more recent work. Figure 8 sketches the system architecture of a 2 channel QMF bank. The signal In(z) is decimated into...
...and general analytical framework, because they have relied on optimization by means of numerical search algorithms. In our previous work [4, 3, 5, 2], we derived simple closed form expressions for an efficient class of QMFs, and compared to existing QMF designs and developed a...
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BibTeX entry: (Update)
A. Divakaran and W. Pearlman, "A Closed form expression for an efficient class of quadrature mirror filters and its FIR approximation," submitted to IEEE Trans. on Circuits and Systems, part II, 1992. http://citeseer.ist.psu.edu/divakaran96closed.html More
@misc{ divakaran92closed,
author = "A. Divakaran and W. Pearlman",
title = "A Closed form expression for an efficient class of quadrature mirror filters
and its FIR approximation",
text = "A. Divakaran and W. Pearlman, A Closed form expression for an efficient
class of quadrature mirror filters and its FIR approximation, submitted
to IEEE Trans. on Circuits and Systems, part II, 1992.",
year = "1992",
url = "citeseer.ist.psu.edu/divakaran96closed.html" }
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45 Perfect reconstruction FIR filter banks: some properties and.. (context) - Vetterli, Le Gall - 1989
43 Lattice structures for optimal design and robust implementat.. (context) - Vaidyanathan, Hoang - 1988
28 Application of quadrature mirror filters to split band voice.. (context) - Esteban, Galand - 1977
19 Quadrature mirror filter design in the time domain (context) - Jain, Crochiere - 1984
18 Two-channel perfect-reconstruction FIR QMF structures which .. (context) - Nguyen, Vaidyanathan - 1989
16 A procedure for designing exact reconstruction filter banks .. (context) - Smith - 1984
11 Image coding using vector quantization in the wavelet transf.. (context) - Antonini, Barlaud et al. - 1990
10 The role of lossless systems in modern digital signal proces.. (context) - Vaidyanathan, Doganata - 1989
5 Theory and Application of Digital Signal Processing (context) - Rabiner, Gold - 1975
4 An analytical formula for the design of quadrature mirror fi.. (context) - Pirani, Zingarelli - 1984
3 New quadrature mirror filter structures (context) - Galand, Nussbaumer - 1984
3 IEEE Transactions on Circuits and Systems (context) - Vaidyanathan, FIR - 1985
2 Quadrature Mirror Filters: FIR Implementation (context) - Divakaran - 1993
1 Orthogonal sub-band image transforms (context) - Simoncelli - 1988
1 Simoncelli and Edward H (context) - Eero - 1991
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