Convolution

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In mathematics and, in particular, functional analysis, convolution is a mathematical operation on two functions f and g, producing a third function that is typically viewed as a modified version of one of the original functions. (Wikipedia.org)






Conferences related to Convolution

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2014 IEEE International Conference on Systems, Man and Cybernetics - SMC

SMC2014 targets advances in Systems Science and Engineering, Human-Machine Systems, and Cybernetics involving state-of-art technologies interacting with humans to provide an enriching experience and thereby improving the quality of lives including theories, methodologies, and emerging applications.

  • 2013 IEEE International Conference on Systems, Man and Cybernetics - SMC

    SMC 2013 targets advances in Systems Science and Engineering Human-machine Systems and Cybernetics involving state-of-the-art technologies interacting with humans to provide an enriching experience and thereby improving the quality of lives including theories, methodologies and emerging applications.

  • 2012 IEEE International Conference on Systems, Man and Cybernetics - SMC

    Theory, research and technology advances including applications in all aspects of systems science and engineering, human machine systems, and emerging cybernetics.

  • 2011 IEEE International Conference on Systems, Man and Cybernetics - SMC

    Theory, research, and technology advances including applications in all aspects of systems science and engineering, human machine systems, and emerging cybernetics.

  • 2010 IEEE International Conference on Systems, Man and Cybernetics - SMC

    The 2010 IEEE International Conference on Systems, Man, and Cybernetics (SMC2010) provides an international forum that brings together those actively involved in areas of interest to the IEEE Systems, Man, and Cybernetics Society, to report on up-to-the-minute innovations and developments, to summarize the state-of-the-art, and to exchange ideas and advances in all aspects of systems science and engineering, human machine systems, and cybernetics.

  • 2009 IEEE International Conference on Systems, Man and Cybernetics - SMC

    The 2009 IEEE International Conference on Systems, Man, and Cybernetics (SMC2009) provides an international forum that brings together those actively involved in areas of interest to the IEEE Systems, Man, and Cybernetics Society, to report on up-to-the-minute innovations and developments, to summarize the state-of-the-art, and to exchange ideas and advances in all aspects of systems science and engineering, human machine systems, and cybernetics.


2013 45th Southeastern Symposium on System Theory (SSST)

SSST invites papers generally focused on the subject of system theory, including topics such as control, modeling, differential and difference equations, computational methods and intelligence, neural systems, and applications of system theory.

  • 2012 Southeastern Symposium on System Theory (SSST)

    Presentation and publication of original papers from all areas of system theory, mathematical modeling design, application, and experiments/field trials. The SSST encourages well-written, high-quality papers by graduate students based on Master s thesis and Ph.D. dissertation results, as well as papers by university faculty, researchers and government/industry personnel from throughout the US and abroad.

  • 2011 IEEE 43rd Southeastern Symposium on System Theory (SSST 2011)

    system theory, mathematical modeling, design, application, and practice of system design

  • 2010 42nd Southeastern Symposium on System Theory (SSST 2010)

    Papers presented at the SSST have focused on system-issues from fields such as: mathematical theory of systems and signals, control of electro-mechanical systems, communications, signal processing, navigation, guidance, robotics, energy and power, electronic devices, computers and networks, optics, aerospace, chemical processing, manufacturing, etc.

  • 2009 41st Southeastern Symposium on System Theory (SSST 2009)

    The conference consists of invited and contributed technical papers on theoretical and applied issues associated with the architecture, modeling, simulation and analysis, control, operation and performance-evaluation of systems. This year s special focus will be on flight systems and ground and flight testing.


2013 IEEE 24th International Conference on Application-specific Systems, Architectures and Processors (ASAP)

The conference will cover the theory and practice of application-specific systems, architectures and processors. The 2013 conference will build upon traditional strengths in areas such as arithmetic, cryptography, compression, signal and image processing, application-specific instruction processors, etc.

  • 2012 IEEE 23rd International Conference on Application-specific Systems, Architectures and Processors (ASAP)

    The conference will cover the theory and practice of application-specific systems, architectures and processors. The 2012 conference will build upon traditional strengths in areas such as arithmetic, cryptography, compression, signal and image processing, application-specific instruction processors, etc. We especially encourage submissions in the following three areas: Bioinformatics and computational biology - life sciences present a host of interesting problems that can benefit from application-specific solutions. Computational finance - the financial community has significant needs for high performance computing. Architecturally diverse systems - systems that use varied computing resources such as FPGAs, GPUs, Cell processors, etc.

  • 2010 21st IEEE International Conference on Application-specific Systems, Architectures and Processors (ASAP)

    Application-specific systems: network computing, special-purpose systems, performance evaluation, design languages, compilers, operating systems, nanocomputing systems and applications, hardware/software integration and rapid prototyping. Application-specific architectures: special-purpose designs, design methodology, CAD tools, fault tolerance, specifications and interfaces, networks-on-a-chip, hardware/software co-design, processor arrays, SoC, superscalar, multithreaded, VLIW and EPIC architectures.

  • 2009 20th IEEE International Conference on Application-specific Systems, Architectures and Processors (ASAP)

    The conference will cover the theory and practice of application-specific systems, architectures and processors. Areas for application-specific computing are many and varied. Some sample application areas include information systems, signal and image processing, multimedia systems, communication, high-speed networks, sensor networks, compression, graphics, cryptography, and many areas of computational science.

  • 2008 International Conference on Application-specific Systems, Architectures and Processors (ASAP)

    The conference will cover the theory and practice of application-specific systems, architectures and processors. Areas for application-specific computing are many and varied. Some sample application areas include information systems, signal and image processing, multimedia systems, communication, high-speed networks, sensor networks, compression, graphics and cryptography.



Periodicals related to Convolution

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Circuits and Systems for Video Technology, IEEE Transactions on

Video A/D and D/A, display technology, image analysis and processing, video signal characterization and representation, video compression techniques and signal processing, multidimensional filters and transforms, analog video signal processing, neural networks for video applications, nonlinear video signal processing, video storage and retrieval, computer vision, packet video, high-speed real-time circuits, VLSI architecture and implementation for video technology, multiprocessor systems--hardware and software-- ...


Education, IEEE Transactions on

Educational methods, technology, and programs; history of technology; impact of evolving research on education.


Image Processing, IEEE Transactions on

Signal-processing aspects of image processing, imaging systems, and image scanning, display, and printing. Includes theory, algorithms, and architectures for image coding, filtering, enhancement, restoration, segmentation, and motion estimation; image formation in tomography, radar, sonar, geophysics, astronomy, microscopy, and crystallography; image scanning, digital half-toning and display, andcolor reproduction.


Multimedia, IEEE Transactions on

The goal of IEEE Transactions on Multimedia is to integrate all aspects of multimedia systems and technology, signal processing, and applications. It will cover various aspects of research in multimedia technology and applications including, but not limited to: circuits, algorithms and macro/micro-architectures, software, detailed design, synchronization, interaction, joint processing and coordination of multimedia and multimodal signals/data, compression, storage, retrieval, communication, ...


Signal Processing, IEEE Transactions on

The technology of transmission, recording, reproduction, processing, and measurement of speech; other audio-frequency waves and other signals by digital, electronic, electrical, acoustic, mechanical, and optical means; the components and systems to accomplish these and related aims; and the environmental, psychological, and physiological factors of thesetechnologies.




Xplore Articles related to Convolution

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A fast d.f.t. algorithm using complex integer transforms

I. S. Reed; T. K. Truong Electronics Letters, 1978

For certain large transform lengths, Winograd's algorithm for computing the discrete Fourier transform (d.f.t.) is extended considerably. This is accomplished by performing the cyclic convolution, required by Winograd's method, by a fast transform over certain complex integer fields developed previously by the authors. This new algorithm requires fewer multiplications than either the standard fast Fourier transform (f.f.t.) or Winograd's more ...


Heterogeneity exploration for multiple 2D filter designs

C. -S. Bouganis; P. Y. K. Cheung; G. A. Constantinides International Conference on Field Programmable Logic and Applications, 2005., 2005

Many image processing applications require fast convolution of an image with a set of large 2D filters. Field-programmable gate arrays (FPGAs) are often used to achieve this goal due to their fine grain parallelism and reconfigurability. This paper presents a novel algorithm for the class of designs that implement a convolution with a set of 2D filters. Firstly, it explores ...


Iterative Source-Channel Decoding Using Short Block Codes

T. Clevorn; P. Vary; M. Adrat 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings, 2006

Iterative source-channel decoding (ISCD) exploits the residual redundancy of the source, e.g., codec parameters, for quality improvements. In contrast to the well-known convolutional coded ISCD systems, we propose in this paper an ISCD scheme which features a superior performance but is based solely on two short block codes. The block codes serve as highly redundant index assignment and rate-1 inner ...


Time-space tradeoffs for branching programs contrasted with those for straight-line programs

Karl Abrahamson 27th Annual Symposium on Foundations of Computer Science (sfcs 1986), 1986

This paper establishes time-space tradeoffs for some algebraic problems in the branching program model. For a finite field F, convolution of n-vectors over F requires ST = Θ(n2 log |F|), where S is space and T is time, in good agreement with corresponding results for straightline programs. Our result for n × n matrix multiplication over F, ST2 = Θ(n6 ...


Receding Horizon Control of Spatially Distributed Systems over Arbitrary Graphs

Nader Motee; Ali Jadbabaie Proceedings of the 45th IEEE Conference on Decision and Control, 2006

In this paper, we study the problem of receding horizon control of spatially distributed systems with arbitrary interconnection topologies. The key idea is the introduction of spatially decaying operators (SD) which serve as the main ingredient in the cost function that couples the state and control of individual agents with those of others. It is shown that coupling between subsystems ...


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Educational Resources on Convolution

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eLearning

A fast d.f.t. algorithm using complex integer transforms

I. S. Reed; T. K. Truong Electronics Letters, 1978

For certain large transform lengths, Winograd's algorithm for computing the discrete Fourier transform (d.f.t.) is extended considerably. This is accomplished by performing the cyclic convolution, required by Winograd's method, by a fast transform over certain complex integer fields developed previously by the authors. This new algorithm requires fewer multiplications than either the standard fast Fourier transform (f.f.t.) or Winograd's more ...


Heterogeneity exploration for multiple 2D filter designs

C. -S. Bouganis; P. Y. K. Cheung; G. A. Constantinides International Conference on Field Programmable Logic and Applications, 2005., 2005

Many image processing applications require fast convolution of an image with a set of large 2D filters. Field-programmable gate arrays (FPGAs) are often used to achieve this goal due to their fine grain parallelism and reconfigurability. This paper presents a novel algorithm for the class of designs that implement a convolution with a set of 2D filters. Firstly, it explores ...


Iterative Source-Channel Decoding Using Short Block Codes

T. Clevorn; P. Vary; M. Adrat 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings, 2006

Iterative source-channel decoding (ISCD) exploits the residual redundancy of the source, e.g., codec parameters, for quality improvements. In contrast to the well-known convolutional coded ISCD systems, we propose in this paper an ISCD scheme which features a superior performance but is based solely on two short block codes. The block codes serve as highly redundant index assignment and rate-1 inner ...


Time-space tradeoffs for branching programs contrasted with those for straight-line programs

Karl Abrahamson 27th Annual Symposium on Foundations of Computer Science (sfcs 1986), 1986

This paper establishes time-space tradeoffs for some algebraic problems in the branching program model. For a finite field F, convolution of n-vectors over F requires ST = Θ(n2 log |F|), where S is space and T is time, in good agreement with corresponding results for straightline programs. Our result for n × n matrix multiplication over F, ST2 = Θ(n6 ...


Receding Horizon Control of Spatially Distributed Systems over Arbitrary Graphs

Nader Motee; Ali Jadbabaie Proceedings of the 45th IEEE Conference on Decision and Control, 2006

In this paper, we study the problem of receding horizon control of spatially distributed systems with arbitrary interconnection topologies. The key idea is the introduction of spatially decaying operators (SD) which serve as the main ingredient in the cost function that couples the state and control of individual agents with those of others. It is shown that coupling between subsystems ...


More eLearning Resources

IEEE-USA E-Books

  • Appendix N: Sampled Noise

    This appendix contains sections titled: Case 1: Wn f ref Case 2: 1/T Wn f ref Case 3: Wn 1/T f ref Variance of Sampled Noise (1/T f ref) Convolution of PSDs Representing Squared PSDs

  • Appendix A: Convolution Properties

    This chapter contains sections titled: Identity Commutativity Associativity Distributivity Circularity

  • The Discriminative Power of a Dynamical Model Neuron

    This chapter contains sections titled: Introduction, Review of VC Dimension, An Integrate-and-fire Classifier, Convolution as a Product, Special Cases and Extensions, Discussion

  • No title

    This book is Volume IV of the series DSP for MATLAB™ and LabVIEW™. Volume IV is an introductory treatment of LMS Adaptive Filtering and applications, and covers cost functions, performance surfaces, coefficient perturbation to estimate the gradient, the LMS algorithm, response of the LMS algorithm to narrow-band signals, and various topologies such as ANC (Active Noise Cancelling) or system modeling, Noise Cancellation, Interference Cancellation, Echo Cancellation (with single- and dual-H topologies), and Inverse Filtering/Deconvolution. The entire series consists of four volumes that collectively cover basic digital signal processing in a practical and accessible manner, but which nonetheless include all essential foundation mathematics. As the series title implies, the scripts here will run on both MATLAB™ and LabVIEW™. The text for all volumes contains many examples, and many useful computational scripts, augmented by demonstration scripts and LabVIEW&# 482; Virtual Instruments (VIs) that can be run to illustrate various signal processing concepts graphically on the user's computer screen. Volume I consists of four chapters that collectively set forth a brief overview of the field of digital signal processing, useful signals and concepts (including convolution, recursion, difference equations, LTI systems, etc), conversion from the continuous to discrete domain and back (i.e., analog-to-digital and digital-to-analog conversion), aliasing, the Nyquist rate, normalized frequency, sample rate conversion and Mu-law compression, and signal processing principles including correlation, the correlation sequence, the Real DFT, correlation by convolution, matched filtering, simple FIR filters, and simple IIR filters. Chapter 4 of Volume I, in particular, provides an intuitive or "first principle" understanding of how digital filtering and frequency transforms work. Volume II provides detailed coverage of discrete frequency transforms, includi g a brief overview of common frequency transforms, both discrete and continuous, followed by detailed treatments of the Discrete Time Fourier Transform (DTFT), the z-Transform (including definition and properties, the inverse z-transform, frequency response via z-transform, and alternate filter realization topologies including Direct Form, Direct Form Transposed, Cascade Form, Parallel Form, and Lattice Form), and the Discrete Fourier Transform (DFT) (including Discrete Fourier Series, the DFT-IDFT pair, DFT of common signals, bin width, sampling duration, and sample rate, the FFT, the Goertzel Algorithm, Linear, Periodic, and Circular convolution, DFT Leakage, and computation of the Inverse DFT). Volume III covers digital filter design, including the specific topics of FIR design via windowed-ideal-lowpass filter, FIR highpass, bandpass, and bandstop filter design from windowed-ideal lowpass filters, FIR design using the transition- band-optimized Frequency Sampling technique (impleme ted by Inverse-DFT or Cosine/Sine Summation Formulas), design of equiripple FIRs of all standard types including Hilbert Transformers and Differentiators via the Remez Exchange Algorithm, design of Butterworth, Chebyshev (Types I and II), and Elliptic analog prototype lowpass filters, conversion of analog lowpass prototype filters to highpass, bandpass, and bandstop filters, and conversion of analog filters to digital filters using the Impulse Invariance and Bilinear Transform techniques. Certain filter topologies specific to FIRs are also discussed, as are two simple FIR types, the Comb and Moving Average filters. Table of Contents: Introduction To LMS Adaptive Filtering / Applied Adaptive Filtering

  • Convolutional Representations of Continuous-Time Systems

    This chapter contains sections titled: Introduction, The L-Transform Convolution Theorem, Convolution and General LTI Systems, Causality and Stability, Summary, Exercises for Chapter 10, Problems for Chapter 10

  • Rigorous Diffraction Theory for 360?? Computer-Generated Holograms

    Most algorithms for a computer-generated hologram using FFT are effective only under the condition that both the input and observation surfaces are finite planes that are parallel to each other. To synthesize a 360 degree hologram in a computer, a numerical simulation of the diffraction on the non planar observation surfaces is required. At first, we propose a simple but rigorous equation which describes the relation between the diffracted wavefront of a 3-D object and its 3-D Fourier spectrum. In this method, an exact solution of the diffraction integral is given by the Green function. This principle gives us an intuitive understanding of calculation processes for various diffraction situation. Alternatively, fast computation solutions for spherical computer generated hologram employing PSF (convolution method) is proposed. We start with Helmholtz equation, with considering a boundary value problem in spherical co-ordinates. The solution define the transfer function and the spectral decomposition of the wave field in the spherical surface. Using the transfer function and the wave spectrum we can develop a spectral propagation formula (for spherical surfaces in spherical coordinates) analogous to the angular spectrum formula. Some computer simulation and experimental results are presented.

  • Algorithm Construction

    This chapter contains sections titled: Introduction Four Performance Measures Nine Algorithm Constraints Three Construction Approaches Algorithm Data Mapping Relabeling Convolution Approach Prime Factor Approach Mixed-Radix Approach Comparison Matrices Conclusions This chapter contains sections titled: References

  • Mathematical Fundamentals

    This chapter contains sections titled: Vectors Basic Concepts of Matrix Algebra Some Commonly Used Functions Convolution The Fourier Transform The Radon Transform This chapter contains sections titled: Exercises

  • Linear TimeInvariant (LTI) Systems

    This chapter contains sections titled: Linear Systems Linear Time-Invariant (LTI) Systems The Convolution Integral The Unit-Impulse Sifting Property Convolution This chapter contains sections titled: Problems

  • Elements of Risk Evaluation Methods

    Chapter 4 describes fundamental methods for simple system risk evaluation and comprehensive techniques for risk assessment of large-scale and complex systems, including: Probability convolution Series and parallel networks Markov equations Frequency-duration approaches State enumeration Non-sequential Monte Carlo simulation Sequential Monte Carlo simulation



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