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)






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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.


2010 International Conference on Information and Automation (ICIA)

The objective of ICIA 2010 is to provide a forum for researchers, educators, engineers, and government officials involved in the general areas of informtion, robotics, automation and sensors to disseminate their latest research results and exchange views on the future research directions.



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, ...


Photonics Technology Letters, IEEE

Rapid publication of original research relevant to photonics technology. This expanding field emphasizes laser and electro-optic technology, laser physics and systems, applications, and photonic/ lightwave components and applications. The journal offers short, archival publication with minimal delay.


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Xplore Articles related to Convolution

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Bounds on ε-rate for linear, time-invariant, multiinput/multioutput channels

D. Hajela; M. L. Honig IEEE Transactions on Information Theory, 1990

Upper and lower bounds on the ε-rate of a linear, time-invariant multiple input multiple output channel are derived by using the same volume argument previously used by W.L. Root (1968) for single input single output channels. Because these bounds are not very tight, an approximation to the ε-rate is presented which lies between the upper and lower bounds, and can ...


Quality of service and bandwidth efficiency of cellular mobile radio with variable bit-rate speech transmission

D. J. Goodman; C. -E. W. Sundberg IEEE Transactions on Vehicular Technology, 1983

The performance of an adjustable source/channel codec in a cellular mobile- radio environment is investigated. The speech transmission rate and the amount of forward error correction change in response to changing channel conditions. The channel rate is constant at 32 kb/s, and when the channel is good all of these bits are used for speech transmission. In intermediate and poor ...


The Skip-and-Set Fast-Division Algorithm

P. A. Ligomenides IEEE Transactions on Computers, 1977

A fast-division algorithm, effectively implementable with available IC technology, has been developed and implemented. Especially suited for asynchronous division units, the skip-and-set algorithm provides simple control provisions for the division of numbers in any format and to any fractional precision.


Model-based reconstruction of multiple circular and elliptical objects from a limited number of projections

S. Wang; B. Liu; S. R. Kulkarni IEEE Transactions on Image Processing, 1996

We consider tomographic image reconstruction from a limited number of noisy projections. An efficient algorithm based on maximum likelihood estimation (MLE) is developed to reconstruct images of multiple discs with unknown locations and radii. The algorithm is successfully applied to images with signal-to-noise ratio (SNR) as low as 0 dB, using as few as 16 projections, and containing as many ...


Real-Time SURF-Based Video Stabilization System for an FPGA-Driven Mobile Robot

Tahiyah Nou Shene; K. Sridharan; N. Sudha IEEE Transactions on Industrial Electronics, 2016

Mobile robots are used for search and rescue purposes in emergency informatics. The robots typically carry a vision system to gather information about the environment and pass on to remotely located rescue teams. When the robot moves, in view of the uneven nature of the terrain, the camera is subjected to vibrations and as a result, the transmitted videos tend ...


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Educational Resources on Convolution

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eLearning

Bounds on ε-rate for linear, time-invariant, multiinput/multioutput channels

D. Hajela; M. L. Honig IEEE Transactions on Information Theory, 1990

Upper and lower bounds on the ε-rate of a linear, time-invariant multiple input multiple output channel are derived by using the same volume argument previously used by W.L. Root (1968) for single input single output channels. Because these bounds are not very tight, an approximation to the ε-rate is presented which lies between the upper and lower bounds, and can ...


Quality of service and bandwidth efficiency of cellular mobile radio with variable bit-rate speech transmission

D. J. Goodman; C. -E. W. Sundberg IEEE Transactions on Vehicular Technology, 1983

The performance of an adjustable source/channel codec in a cellular mobile- radio environment is investigated. The speech transmission rate and the amount of forward error correction change in response to changing channel conditions. The channel rate is constant at 32 kb/s, and when the channel is good all of these bits are used for speech transmission. In intermediate and poor ...


The Skip-and-Set Fast-Division Algorithm

P. A. Ligomenides IEEE Transactions on Computers, 1977

A fast-division algorithm, effectively implementable with available IC technology, has been developed and implemented. Especially suited for asynchronous division units, the skip-and-set algorithm provides simple control provisions for the division of numbers in any format and to any fractional precision.


Model-based reconstruction of multiple circular and elliptical objects from a limited number of projections

S. Wang; B. Liu; S. R. Kulkarni IEEE Transactions on Image Processing, 1996

We consider tomographic image reconstruction from a limited number of noisy projections. An efficient algorithm based on maximum likelihood estimation (MLE) is developed to reconstruct images of multiple discs with unknown locations and radii. The algorithm is successfully applied to images with signal-to-noise ratio (SNR) as low as 0 dB, using as few as 16 projections, and containing as many ...


Real-Time SURF-Based Video Stabilization System for an FPGA-Driven Mobile Robot

Tahiyah Nou Shene; K. Sridharan; N. Sudha IEEE Transactions on Industrial Electronics, 2016

Mobile robots are used for search and rescue purposes in emergency informatics. The robots typically carry a vision system to gather information about the environment and pass on to remotely located rescue teams. When the robot moves, in view of the uneven nature of the terrain, the camera is subjected to vibrations and as a result, the transmitted videos tend ...


More eLearning Resources

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IEEE-USA E-Books

  • 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

  • A Novel Architecture Design for VLSI Implementation of an FIR Decimation Filter

    A novel architecture design of a one stage FIR filter for decimation is described. It performs the decimation of a 1-bit code at 1024KHz of double integration Sigma Delta modulation output to PCM at 16KHz. This architecture is designed in such a way that it needs only a simple control structure suitable for VLSI implementation. We devised an algorithm for generating the coefficients of the filter with a minimum of required hardware. It does not require storing the coefficients in a ROM and continuously reading it to calculate the convolution. The accumulators needed to perform the direct convolution are arranged in a way that simplifies and minimizes the hardware required for the filter implementation. The filter response is Sinc3(f) which provides sufficient attenuation for modulation generated by means of double integration. The implementation of this filter requires the generation of the coefficients and the performance of the convolution. Three coefficients are needed with every input to obtain the output sequence. The major feature of this architecture is the use of an efficient algorithm to obtain the coefficients thereby reducing the area and power consumption. It is very suitable for VLSI implementation in CMOS technology.

  • Index

    These twenty lectures have been developed and refined by Professor Siebert during the more than two decades he has been teaching introductory Signals and Systems courses at MIT. The lectures are designed to pursue a variety of goals in parallel: to familiarize students with the properties of a fundamental set of analytical tools; to show how these tools can be applied to help understand many important concepts and devices in modern communication and control engineering practice; to explore some of the mathematical issues behind the powers and limitations of these tools; and to begin the development of the vocabulary and grammar, common images and metaphors, of a general language of signal and system theory.Although broadly organized as a series of lectures, many more topics and examples (as well as a large set of unusual problems and laboratory exercises) are included in the book than would be presented orally. Extensive use is made throughout of knowledge acquired in early courses in elementary electrical and electronic circuits and differential equations.Contents: Review of the "classical" formulation and solution of dynamic equations for simple electrical circuits; The unilateral Laplace transform and its applications; System functions; Poles and zeros; Interconnected systems and feedback; The dynamics of feedback systems; Discrete-time signals and linear difference equations; The unilateral Z-transform and its applications; The unit-sample response and discrete-time convolution; Convolutional representations of continuous-time systems; Impulses and the superposition integral; Frequency-domain methods for general LTI systems; Fourier series; Fourier transforms and Fourier's theorem; Sampling in time and frequency; Filters, real and ideal; Duration, rise-time and bandwidth relationships: The uncertainty principle; Bandpass operations and analog communication systems; Fourier transforms in discrete-time systems; Random Signals; Modern communication systems.William Siebert is Ford Professor of Engineering at MIT. Circuits, Signals, and Systems is included in The MIT Press Series in Electrical Engineering and Computer Science, copublished with McGraw-Hill.

  • The Chirp z-Transform Algorithm

    A computational algorithm for numerically evaluating the z-transform of a sequence of N samples is discussed . This algorithm has been named the chirp z-transform (CZT) algorithm . Using the CZT algorithm one can efficiently evaluate the z-transform at M points in the z-plane which lie on circular or spiral contours beginning at any arbitrary point in the z-plane. The angular spacing of the points is an arbitrary constant, and M and N are arbitrary integers. The algorithm is based on the fact that the values of the z-transform on a circular or spiral contour can be expressed as a discrete convolution. Thus one can use well-known high-speed convolution teehniques to evaluate the transform efficiently. For M and N moderately large, the computation time is roughly proportional to (N + M) log2(N + M) as opposed to being proportional to (N ⋅ M) for direct evaluation of the z-transform at M points.

  • Appendix A: Convolution Properties

    This chapter contains sections titled: Identity Commutativity Associativity Distributivity Circularity

  • 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

    System risk evaluation is used to assess the overall risk in a system due to individual component failures and their combinations. This chapter reviews the most important concepts and general techniques that can be and have been used in power system risk assessment. After a brief introduction, five fundamental methods are briefly discussed: probability convolution, series and parallel networks, minimum cutsets, Markov equations, and frequency-duration approaches. These methods can be directly applied to simple cases in power system risk evaluation. Two primary methods are presented for the risk assessment of large-scale/complex systems: state enumeration method and Monte Carlo simulation method (both sequential and nonsequential types). The correlation between random variables is an important concept in risk evaluation of power systems, particularly for those with renewable sources. In the final section of the chapter, methods of modeling correlation are illustrated.

  • Properties of LTI Systems

    This chapter contains sections titled: Tandem Connection of LTI Systems A Consequence of the Commutative Property The Unit Impulse Revisited Convolution Revisited Causality Stability System Continuity The Potential Integral This chapter contains sections titled: Problems

  • Major 5G Waveform Candidates: Overview and Comparison

    The 5G mobile communication system is now being intensively prepared. This chapter presents the major multicarrier modulation (MCM) candidates for 5G and their categorization. It devotes to high-level comparisons of these candidate algorithms in terms of performance, efficiency, complexity, compatibility and integration. The chapter discusses the waveform proposals by separating them into three groups: subcarrier filtered MCM using linear convolution, subcarrier filtered MCM using circular convolution, and sub-band windowed MCM. Orthogonal frequency division multiplex (OFDM) is the simplest MCM system, and is widely adopted in many applications. To improve the spectrum localization, a subcarrier filtering is used on the top of OFDM basis, leading to some advanced MCM schemes, such as filter bank multicarrier (FBMC)/offset QAM (OQAM) and filtered multitone (FMT). The CB-FMT scheme adopts circular filtering on the top of traditional FMT modulation. The chapter discusses the future work on the design and implementation of MCM schemes for 5G standardization and deployment.

  • Turning OverlapSave into a Multiband, Mixing, Downsampling Filter Bank

    This chapter contains sections titled: Something Old and Something New Review of Fast Convolution Choosing FFT Size: Complexity is Related to Filter Length and Overlap Factor Filtering Multiple Channels: Reuse the Forward FFT Frequency Domain Downsampling: Aliasing is Your Friend Mixing and OS Filtering: Rotate the Frequency Domain for Coarse Mixing Putting it All Together Food for Thought Conclusions References Editor Comments



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