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Efficient time domain synthesis of pipelined recursive filters

Chien-Piao Lan, Chein-Wei Jen
1994 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
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

K.R. Santhi, N. Gangathara, M. Ponnavaikk
2008 American Journal of Applied Sciences  
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

M. Zervakis, A. Venetsanopoulos
1987 IEEE Transactions on Circuits and Systems  
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

G.R. Arce, J.L. Paredes
2000 IEEE Transactions on Signal Processing  
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

K.R. Santhi, M. Ponnavaikk, N. Gangathara
2008 Journal of Computer Science  
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

J. Kubak, P. Sovka, M. Vlcek
2017 Radioengineering  
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

N. Damera-Venkata, M. Venkataraman, M.S. Hrishikesh, P.S. Reddy
1999 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
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  
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

N. Gangathara, T. C. Chuah
2007 American Journal of Applied Sciences  
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

Aditya Gupta, Andrew Singer, Naresh Shanbhag
2011 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)  
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

P. Pistor
1974 IBM Journal of Research and Development  
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

H. Damera-Venkata, M. Venkataraman, M.S. Hrishikesh, P.S. Reddy
2000 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
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

I.W. Selesnick
2002 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
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  
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

K. R. Santhi, M. Ponnavaikko, N. Gangatharan
2009 EURASIP Journal on Advances in Signal Processing  
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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