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Iterative Design of L_p Digital Filters [article]

Ricardo A. Vargas, C. Sidney Burrus
2012 arXiv   pre-print
The purpose of this paper is to study the use of norms (for 2 < p < ∞) as design criteria for digital filters, and to introduce a set of algorithms for the design of Finite (FIR) and Infinite (IIR) Impulse  ...  A method to design filters with different norms in different bands is presented (allowing the user for better control of the signal and noise behavior per band).  ...  In this section we cover the use of IRLS methods to design linear phase FIR filters according to the lp optimality criterion.  ... 
arXiv:1207.4526v1 fatcat:lj4rnuc7b5cy5fosvgxuzgazau

Splitting the unit delay [FIR/all pass filters design]

T.I. Laakso, V. Valimaki, M. Karjalainen, U.K. Laine
1996 IEEE Signal Processing Magazine  
In this article, we present a comprehensive review of FIR and allpass filter design techniques for bandlimited approximation of a fractional digital delay.  ...  Various new approaches are proposed and several examples are provided to illustrate the performance of the methods. We also discuss the implementation complexity of the algorithms.  ...  It is readily seen that, as is the case with linear-phase FIR filter design, the L2-optimal Nth-order FIR filter is obtained by simply truncating the ideal impulse response to L = N + 1 terms [84] .  ... 
doi:10.1109/79.482137 fatcat:cws5es5j4zg35od755zromw3uu

A weighted L2-based method for the design of arbitrary one-dimensional FIR digital filters

Emmanouil Z. Psarakis
2006 Signal Processing  
In this paper we propose a new general method for the weighted L 2 -based design of arbitrary FIR filters.  ...  In FIR filter design problems, filter specifications do not constrain in any way the ideal frequency response inside the transition regions.  ...  Acknowledgements The author would like to thank the anonymous reviewers for their comments and suggestions which helped to improve the clarity of the presentation.  ... 
doi:10.1016/j.sigpro.2005.08.001 fatcat:vbmgtldimzhljjm3wioxl7gn4a

Data-driven model reference control with asymptotically guaranteed stability

Klaske van Heusden, Alireza Karimi, Dominique Bonvin
2010 International Journal of Adaptive Control and Signal Processing  
The correlation approach is used to deal with the influence of measurement noise. For linearly parameterized controllers, this leads to a convex optimization problem.  ...  The approach requires a single experiment and can also be applied to nonminimum-phase and unstable systems.  ...  Implementation for nonminimum-phase or unstable systems Let the unstable or minimum-phase plant G be excited by r(t) in closed loop according to the scheme of Fig. 3 .  ... 
doi:10.1002/acs.1212 fatcat:n6xci356lvdwtltsqlwmaamu5a

Order statistics in digital image processing

I. Pitas, A.N. Venetsanopoulos
1992 Proceedings of the IEEE  
They tend to preserve edge information, which is very important to human perception. Their computation is relatively easy and fast compared with some linear filters.  ...  The widely used median filter is the best known filter of this family. Nonlinear filters based on order statistics have excellent robustness properties in the presence of impulsive noise.  ...  FIR median hybrid filters with predictive FIR substructures have also been designed [82] .  ... 
doi:10.1109/5.192071 fatcat:nbazqqfjjjcm3p3biz2z36njbi

Weighted median filters: a tutorial

Lin Yin, Ruikang Yang, M. Gabbouj, Y. Neuvo
1996 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
Furthermore, WM filters belong to the broad class of nonlinear filters called stack filters.  ...  They inherent the robustness and edge preserving capability of the classical median filter and resemble linear FIR filters in certain properties.  ...  ACKNOWLEDGMENT The authors would like to thank Dr. P. Haavisto, Dr. X. Song, Dr. T. Viero, and T. Jarske for providing their simulation  ... 
doi:10.1109/82.486465 fatcat:evwpwcd26zb77jyvffcf4giipy

Wordlength optimization for linear digital signal processing

G.A. Constantinides, P.Y.K. Cheung, W. Luk
2003 IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems  
It is demonstrated that the proposed heuristic leads to area improvements of 6% to 45% combined with speed increases compared to the optimum uniform wordlength design.  ...  Both techniques allow the user to tradeoff implementation area for arithmetic error at system outputs.  ...  ACKNOWLEDGMENT The authors wish to acknowledge helpful proposals from the anonymous reviewers.  ... 
doi:10.1109/tcad.2003.818119 fatcat:3emkw4gonnd4vkvi4ofwuczaxa

The digital all-pass filter: a versatile signal processing building block

P.A. Regalia, S.K. Mitra, P.P. Vaidyanathan
1988 Proceedings of the IEEE  
Starting with the definition and basic properties of a scalar all-pass function, a variety of structures satisfying the all-pass property are assembled, with emphasis placed on the concept of structural  ...  REGALIA er al.: THE DIGITAL ALL-PASS FILTER  ...  ACKNOWLEDGMENT The authors would like to thank Dr. M. Bellanger for useful criticisms.  ... 
doi:10.1109/5.3286 fatcat:q4srvnxdczbutk6ulgdwoyr26m

Word-length selection for power minimization via nonlinear optimization

Jonathan A. Clarke, George A. Constantinides, Peter Y. K. Cheung
2009 ACM Transactions on Design Automation of Electronic Systems  
Tight lower and upper bounds on the cost of the integer word-length problem can be obtained using the proposed solution, with typical upper bounds being 2.9% and 5.1% larger than the lower bounds for area  ...  Heuristics can then use the upper bound as a starting point from which to get even closer to the known lower bound.  ...  Design (CAD) tools available to combat the increasing complexity of designs and computational hardware.  ... 
doi:10.1145/1529255.1529261 fatcat:xyde2sem5raqfcikdvomlsuhwu

A Comprehensive Review of Blind Deconvolution Techniques for Image Deblurring

Pooja Satish, Mallikarjunaswamy Srikantaswamy, Nataraj Ramaswamy
2020 Traitement du signal  
Convergence of the algorithm is the most important factor for the effective performance of Lo and L1 norms for regularizers for theoretical applications.  ...  The consequence of different priors to the rate of convergence of the MAP algorithm and its computational complexity are studied and tabulated.  ...  for all the support and encouragement given to them to take up this research work and publication.  ... 
doi:10.18280/ts.370321 fatcat:msvodhsyhrchdlpzjvvwpuffwq

Estimation of Model Quality

Brett Ninness, Graham Goodwin
1994 IFAC Proceedings Volumes  
The problem of marrying system identification and modern robust control theory has resulted in significant research activity. A survey of the outcomes of this effort is presented.  ...  Acknowledgemenr-The authors are very grateful to the reviewers for their many valuable comments that greatly improved this work.  ...  As can be seen, with respect to an L2 frequency-response error criterion, the optimum model order for the 500 data point record is an eighth-order one.  ... 
doi:10.1016/s1474-6670(17)47691-9 fatcat:sreewb52cndrliu4immw7pu6q4

Estimation of model quality

Brett Ninness, Graham C. Goodwin
1995 Automatica  
The problem of marrying system identification and modern robust control theory has resulted in significant research activity. A survey of the outcomes of this effort is presented.  ...  Acknowledgemenr-The authors are very grateful to the reviewers for their many valuable comments that greatly improved this work.  ...  As can be seen, with respect to an L2 frequency-response error criterion, the optimum model order for the 500 data point record is an eighth-order one.  ... 
doi:10.1016/0005-1098(95)00108-7 fatcat:pe37yg5uhfedrbqjhwi54e46z4

Complex and Hypercomplex-Valued Support Vector Machines: A Survey

Nancy Arana-Daniel
2019 Applied Sciences  
complex domain, phase and phase-sensitive signal processing and nonlinear filtering, frequency, time-frequency and spatiotemporal domain processing, quantum computation, robotics, control, time series  ...  with analytic signals, as well as the power of description that geometric entities provide to object descriptors.  ...  Additionally, the L2 norm includes an -insensitive region that ensures sparseness.  ... 
doi:10.3390/app9153090 fatcat:rarahjfqgjacfo3dksm7ya2vfy

Deep Convolutional Neural Network-Based Visual Stimuli Classification Using Electroencephalography Signals of Healthy and Alzheimer's Disease Subjects

Dovilė Komolovaitė, Rytis Maskeliūnas, Robertas Damaševičius
2022 Life  
The generated data are used to pretrain the models, and the learned weights are initialized to train them on the real EEG data.  ...  The categories of upright and inverted stimuli have the smallest incidences of confusion. The model's ability to learn the face-inversion effect is demonstrated once more.  ...  The addition of constraints to the model weights has been shown to minimize the complexity of the model [26] .  ... 
doi:10.3390/life12030374 pmid:35330125 pmcid:PMC8950142 fatcat:lqlzmrnjkjdvhnejwwcekac6da

Design of large polyphase filters in the Quadratic Residue Number System

Gian Carlo Cardarilli, Alberto Nannarelli, Yann Oster, Massimo Petricca, Marco Re
2010 2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers  
Most L1-LS minimization methods assume a pre-designed sparsity factor α for regulating the mixture of the L1-norm of the complex coefficients and the L2-norm of the estimation error.  ...  least squares (OLS), with respect to the Euclidean norm of approximation error.  ... 
doi:10.1109/acssc.2010.5757589 fatcat:ccxnu5owr5fyrcjcqukumerueq
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