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Filters
Efficient time domain synthesis of pipelined recursive filters
1994
IEEE transactions on circuits and systems - 2, Analog and digital signal processing
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This matrix has a very useful property that the Rth power of each pole of the filter corresponds to one eigenvalue ofA. ...
Thus, if m a t r i d has all eigenvalue magnitudes less than unit, the filter will be stable. The desired and designed impulte response\ of example 1. Fig. 1 . ...
doi:10.1109/82.326591
fatcat:zeaug5tgqzbl5aror7azgml524
A Novel Approach for Testing Stability of 1-D Recursive Digital Filters Based on Lagrange Multipliers
2008
American Journal of Applied Sciences
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Design of digital filters faces two fundamental problems, their stability and synthesis. Recursive filters have more stability problems than nonrecursive filters. ...
We present a new approach to test the stability problem of the one-dimensional (1-D) recursive digital filters using Lagrange Multipliers. ...
This fact can be utilized for the effective design of stable 1-D recursive digital filters. ...
doi:10.3844/ajassp.2008.490.495
fatcat:vzd45mp42bcvjh57i5eysrrboa
Design of three-dimensional digital filters using two-dimensional rotated filters
1987
IEEE Transactions on Circuits and Systems
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The first one is based on coefficient transformations of two-dimensional (2-D) circularly symmetric filters. These filters can be designed by cascading 2-D rotated filters. ...
Ahs~ucr-Two techniques for the design of three-dimensional (3-D) filters are introduced in this paper. ...
This design technique was illustrated by using circularly symmetric filters, designed on the basis of 2-D rotated filters. ...
doi:10.1109/tcs.1987.1086085
fatcat:h5ixf37bvvf3hh4vs7545qqahm
Recursive weighted median filters admitting negative weights and their optimization
2000
IEEE Transactions on Signal Processing
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A novel "recursive decoupling" adaptive optimization algorithm for the design of this class of recursive WM filters is also introduced. ...
Unlike linear IIR filters, RWM filters are always stable under the bounded-input bounded-output criterion, regardless of the values taken by the feedback filter weights. ...
RECURSIVE WM FILTERS AND THRESHOLD DECOMPOSITION Threshold decomposition is a powerful theoretical tool used in the analysis and design of RWM filters. ...
doi:10.1109/78.824671
fatcat:tm3spjsf5rhg7ilt3fatsf53qy
A Comparative Study of Stability Testing Approaches of Two-Dimensional Recursive Digital Filters
2008
Journal of Computer Science
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Recently there had been a great deal of interest in the design and stability analysis of Two-Dimensional (2-D) recursive digital filters. ...
The design techniques for stable One Dimensional (1-D) digital filters are relatively well developed; but their extension to 2-D had been tried with difficulties. ...
of 2-D recursive filters. ...
doi:10.3844/jcssp.2008.976.981
fatcat:xim6hd366vajjdu2toelr2v4v4
Evaluation of Computing Symmetrical Zolotarev Polynomials of the First Kind
2017
Radioengineering
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In case of the polynomial spectrum computation the best method is the one using the difference backward recursion introduced by M. Vlček. ...
Both methods are able to generate the polynomial of high degree up to, at least, 2000, using 32-bit IEEE floating point arithmetics. ...
Acknowledgments This work is supported by Student Grant Contest (SGS) grant Advanced Algorithms of Digital Signal Processing and their Applications, grant number SGS17/183/OHK3/3T/13. ...
doi:10.13164/re.2017.0903
fatcat:qetaxmcpfbbldi5fhtca5f7sia
Stabilization of 2-D recursive digital filters by the DHT method
1999
IEEE transactions on circuits and systems - 2, Analog and digital signal processing
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In this paper, we discuss the discrete Hilbert transform (DHT) method of stabilizing unstable two-dimensional (2-D) recursive digital filters originally proposed by Read and Treitel. ...
Abstract-In this paper, we analyze the behaviors of the digital filters in the two-type-interlaced structures in conjunction with the lossless bounded real (LBR) test. ...
ACKNOWLEDGMENT The authors gratefully acknowledge the many useful suggestions of the reviewers, and the comments of Associate Editor Dr. T. Nguyen. ...
doi:10.1109/82.749104
fatcat:wmexmh355bf43mrikq5bdq5sji
Hybrid Approach to Design of Two Dimensional Stable IIR Digital Filter
2020
Algerian journal of signals and systems
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In this paper, the magnitude optimization for the design of two dimensional digital filter is attempted and new design method for a two-dimensional (2-D) recursive digital filter is proposed via appropriate ...
genetical swarm optimization with the introduction of the desired stability constraints. ...
CONCLUSION In this paper a new optimization methodology GSO has been utilized to solve the problem of designing 2-D digital stable recursive filters. ...
doi:10.51485/ajss.v5i3.110
fatcat:7qhdcomzhzcyfkr3ngh7yfofjy
An Overview of Modified Shanks' Conjecture and Comments on its Validity
2007
American Journal of Applied Sciences
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This study reports the validity of the modified Shanks' conjecture on the planar least squares inverse (PLSI) method of stabilizing two-dimensional (2-D) recursive digital filters. ...
The results indicate that the modified Shanks' conjecture reported by Jury was valid for special classes of 2-D polynomials. ...
This fact has been used for the design of 1-D recursive digital filters with guaranteed stability [2, 3] . Shanks' et al. [4] proposed the extension of this stabilization technique to 2-D. ...
doi:10.3844/ajassp.2007.184.187
fatcat:dmnyt4je3ndjdnvvonwbk2kw4e
Least squares approximation and polyphase decomposition for pipelining recursive filters
2011
2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
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Current techniques used in pipelining recursive filters require significant hardware complexity. ...
The benefit of this design is that it reduces the complexity of the pipelined circuit immensely, while enabling a simple pipelined architecture based on a polyphase decomposition of the original filter ...
ε = 1 2π 2π 0 |H(w)−H d (w)| 2 dw = ∞ k=0 |h(k)−h d (k)| 2 ≈ N k=0 |h(k) − h d (k)| 2 , for N sufficiently large the above integral could be evaluated directly from the impulse response of the two filters ...
doi:10.1109/icassp.2011.5946818
dblp:conf/icassp/GuptaSS11
fatcat:mwifdmtsxzfbvmujki2ihlpfza
Stability Criterion for Recursive Filters
1974
IBM Journal of Research and Development
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A new criterion is derived that relates the stability of two-dimensional recursive filters to the properties of its cepstrum. ...
It provides a procedure for the decomposition of unstable recursive filters having nonzero, nonimaginary frequency response into stable recursive filters. ...
Especially worthy of mention is the gratifying cooperation of Mrs. M. Gamp in preparing the manuscript. ...
doi:10.1147/rd.181.0059
fatcat:2fe6z53pszgqde75deniwlxqx4
A new transform for the stabilization and stability testing of multidimensional recursive digital filters
2000
IEEE transactions on circuits and systems - 2, Analog and digital signal processing
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In fact, the discrete Hilbert transform (DHT), used to stabilize 2-D and 1-D recursive digital filters, is a special case of the general multidimensional transform we present here. ...
We present a new transform which, when applied to the denominator polynomial of the transfer function of an unstable multidimensional recursive digital filter (of a special class) will yield a stable polynomial ...
Design of 3-D recursive digital filters is discussed in [6] . We assume that the z-transform is defined with positive powers of z. ...
doi:10.1109/82.868468
fatcat:g3hjinw7vvhmfe2ccvovsxgyc4
Maximally flat low-pass digital differentiator
2002
IEEE transactions on circuits and systems - 2, Analog and digital signal processing
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We introduce a two-term recursive formula that enables the simple stable computation of the impulse response coefficients. The same recursive formula is valid for both Type III and Type IV solutions. ...
This paper describes the design of type III and type IV linear-phase finite-impulse response (FIR) low-pass digital differentiators according to the maximally flat criterion. ...
We introduce a two-term recursive formula that enables the simple stable computation of the impulse response coefficients. The same recursive formula is valid for both Type III and Type IV solutions. ...
doi:10.1109/tcsii.2002.1013869
fatcat:g3ffp34kqzbpzetg2y6hu4rria
[Front cover and table of contents]
1985
IEEE Transactions on Acoustics Speech and Signal Processing
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Unbehauen Comments on "Design of Inherently Stable Two-Dimensional Recursive Filter from One-Dimensional Filters" . . . . . . . . . P . A . Ramamoorthy On a Conjecture of J . L . C . Sanz and T . S . ...
Taylor CORRESPONDENCE Design of 2-D Recursive Digital Filters with Constant Group Delay Characteristics Using Separable Denominator Transfer Function and A Modified Hybrid Sign Estimator for the Normalized ...
doi:10.1109/tassp.1985.1164686
fatcat:s5obyh6ocfhfnau4m4cs64fz6i
Stabilization of 2D NSHP Recursive Digital Filters with Guaranteed Stability Using PLSI Polynomials
2009
EURASIP Journal on Advances in Signal Processing
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The major problem in designing two-dimensional recursive filters is to guarantee their stability with the expected magnitude response. ...
The paper's findings prove that, a new way of form-preserving transformation can be used to obtain stable PLSI polynomials. ...
For instance, Shanks [22] writes on techniques to design stable two-dimensional recursive filters. ...
doi:10.1155/2009/963254
fatcat:s22mxzkjyzauni5fvibnzjio2a
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