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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2019 IEEE Milan PowerTech

PowerTech is the IEEE PES anchor conference in Europe and has been attended by hundreds of delegates from around the world. It will be an international forum with programme for individuals working in industry and academia, to network, exchange ideas, and discuss the results of their research and development work.

  • 2017 IEEE Manchester PowerTech

    this is IEEE PES anchor conference in Europe covering all areas of electrical power engineering

  • 2015 IEEE Eindhoven PowerTech

    This conference will continue the tradition of the PowerTech conferences held in odd years in Athens, Stockholm, Budapest, Porto, Bologna, St. Petersburg, Lausanne, Bucharest, Trondheim and Grenoble.PowerTech is the anchor conference of the IEEE Power Engineering Society in Europe. It is intended to provide a forum, in the European geographical area, for scientists and engineers interested in electric power engineering to exchange ideas, results of their scientific work, to learn from each other as well as to establish new friendships and rekindle existing ones. Student participation in Power Tech provides an important ingredient toward the event’s success: a special award, the Basil Papadias Award, is presented to the author of the best student paper at each edition. The Power Engineering Society of IEEE organized similar conferences in other parts of the world, such as PowerCon, in the Asia-Pacific region.

  • 2013 IEEE Grenoble PowerTech

    PowerTech is the anchor conference of the IEEE Power & Energy Society in Europe. It is intended to provide a forum for electric power engineering scientists and engineers to share ideas, results of their scientific work, to learn from each other as well as to establish new friendships and maintain existing ones.

  • 2011 IEEE Trondheim PowerTech

    PowerTech is the anchor conference of the IEEE Power & Energy Society in Europe. It is intended to provide a forum for electric power engineering scientists and engineers to share ideas, results of their scientific work and to learn from each other.

  • 2009 IEEE Bucharest Power Tech

    PowerTech is the anchor conference of the IEEE-PES in Europe. It is intended to provide a forum for scientists and engineers interested in electric power engineering to share ideas, results of their scientific work, to learn from each other as well as to establish new friendships and rekindle existing ones.

  • 2007 IEEE Power Tech

  • 2005 IEEE Russia Power Tech

  • 2003 Bologna Power Tech


2018 14th IEEE International Conference on Signal Processing (ICSP)

ICSP2018 includes sessions on all aspects of theory, design and applications of signal processing. Prospective authors are invited to propose papers in any of the following areas, but not limited to: A. Digital Signal Processing (DSP)B. Spectrum Estimation & ModelingC. TF Spectrum Analysis & WaveletD. Higher Order Spectral AnalysisE. Adaptive Filtering &SPF. Array Signal ProcessingG. Hardware Implementation for Signal ProcessingH Speech and Audio CodingI. Speech Synthesis & RecognitionJ. Image Processing & UnderstandingK. PDE for Image ProcessingL.Video compression &StreamingM. Computer Vision & VRN. Multimedia & Human-computer InteractionO. Statistic Learning & Pattern RecognitionP. AI & Neural NetworksQ. Communication Signal processingR. SP for Internet and Wireless CommunicationsS. Biometrics & AuthentificationT. SP for Bio-medical & Cognitive ScienceU


2018 15th International Symposium on Wireless Communication Systems (ISWCS)

The aim of this symposium is to provide a forum for researchers and technologists to present new ideas and contributions in the form of technical papers, panel discussions, as well as real-world evaluation in the field of wireless communications, networking and signal processing.The symposium will bring together various wireless communication systems developers to discuss the current status, technical challenges, standards, fundamental issues, and future services and applications.

  • 2017 International Symposium on Wireless Communication Systems (ISWCS)

    This event will bring together experts from various research and industry fields of wireless communications, as well as representatives of standardization and regulatory bodies. In that context we foresee focusing on highly-innovative and state-of-the-art contributions in the form of original technical papers, demos or products and achievements shown at the accompanying exhibition.

  • 2016 International Symposium on Wireless Communication Systems (ISWCS)

    The Thirteen International Symposium on Wireless Communication Systems (ISWCS’16) will follow the over ten-year long traditionof that event which will bring together experts from various research and industry fields of wireless communications, as well as representatives of standardization and regulatory bodies. In that context we foresee focusing on highly-innovative and state-of-the-art contributions in the form of original technical papers, demos or products and achievements shown at the accompanying exhibition.

  • 2015 International Symposium on Wireless Communication Systems

    The aim of this symposium is to provide a forum for researchers and technologists to present new ideas and contributions in the form of technical papers, panel discussions as well as real-world evaluation of many ideas in wireless communications, networking and signal processing. This twelfth edition of the symposium will bring together various wireless communication systems developers to discuss the current status, technical challenges, standards, fundamental issues, and future services and applications. ISWCS’15 seeks to address and capture highly-innovative and state-of-the-art research from academia and the wireless industry, as well as standardization advances. The scope of the conference includes a wide range of technical challenges encompassing wireless communications, information theory, quality of service support, networking, signal processing, cross-layer design for improved performance, and future wireless broadband systems.

  • 2014 11th International Symposium on Wireless Communications Systems (ISWCS)

    Wireless communications are at the heart of a new field characterized by smart and flexible transceiver concepts, the convergence of systems and technologies, and the development of technologies with a user-centric focus. In this context, the objective of the ISWCS'2014 is to provide a recognized and dynamic forum for researchers and engineers from academia and industry to present and to discuss original ideas and contributions in all fields related to mobile wireless communication systems, and to capture highly-innovative and state-of-the-art research from academia, the wireless industry as well as standardization advances, and to present novel contributions in the form of tutorials, panel discussions, keynote speeches, technical papers, and posters. The scope of the conference includes a wide range of technical challenges encompassing wireless communications and networking, quality of service, signal processing, cross layer design, broadband access, and cooperative communication.

  • 2013 Tenth International Symposium on Wireless Communications Systems (ISWCS)

    wireless communications systems

  • 2012 9th International Symposium on Wireless Communication Systems (ISWCS 2012)

    The scope of the conference includes wireless communications, quality of service support, wireless networking, signal processing, cross layer air interface design and wireless broadband access.

  • 2011 8th International Symposium on Wireless Communication Systems (ISWCS 2011)

    ISWCS'11 seeks to address and capture highly innovative and state-of-the-art research from academia, the wireless industry and standardization bodies. The scope of the conference includes technical challenges encompassing wireless communications, quality of service support, wireless networking, signal processing, cross-layer air interface design, wireless broadband access and cooperative communication.

  • 2010 7th International Symposium on Wireless Communication Systems (ISWCS 2010)

    wireless and mobile communications, signal processing, networking, cognitive radio.

  • 2009 6th International Symposium on Wireless Communication Systems (ISWCS 2009)

    ISWCS 09 seeks to address highly-innovative research as well as wireless industry and standardization bodies contributions. The scope of the conference includes a wide range of technical challenges encompassing wireless communications and networking, quality of service support, cross-layer air interface design for improved performance, wireless broadband access, and cooperative networking.

  • 2008 IEEE International Symposium on Wireless Communication Systems (ISWCS 2008)

    Wireless communications is at the centre of a new and passionate era for telecommunications. The IEEE International Symposium on Wireless Communication Systems (ISWCS) positions itself as a recognised and dynamic forum for researchers and technologists to present and discuss original ideas in all fields related to wireless communication systems.

  • 2007 IEEE International Symposium on Wireless Communication Systems (ISWCS 2007)

    Identify and discuss the future technical challenges and business opportunities arising in the path towards the realization of ambient wireless communication networks. Together with the technical sessions, the symposium will feature tutorials and keynote presentations from leading wireless communication experts from industry, academia and regulatory and standardization bodies.

  • 2006 3rd International Symposium on Wireless Communication Systems (ISWCS 2006)

  • 2005 2nd International Symposium on Wireless Communication Systems (ISWCS 2005)

  • 2004 1st International Symposium on Wireless Communication Systems (ISWCS 2004)


2018 18th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM)

ANTEM's technical sessions will provide a comprehensive and well-balanced program and are intended to provide an international forum for the exchange of information on state-of-the-art research in antennas, propagation, and electromagnetic engineering. Authors are invited to submit contributions for review and possible presentation during the symposium on topics of interest to ANTEM. In addition to regularly scheduled sessions for oral presentations, there will be distinguished lecturers and special sessions. There will be a Student Paper Competition as well as a Technical Exhibition.


2018 20th International Conference on Advanced Communication Technology (ICACT)

With technically co-sponsored by IEEE ComSoc(Communications Society), IEEE ComSoc CISTC(Communications & Information Security Technical Community), and IEEE ComSoc ONTC(Optical Networking Technical Community), the ICACT(International Conference on Advanced Communications Technology) Conference has been providing an open forum for scholars, researchers, and engineers to the extensive exchange of information on newly emerging technologies, standards, services, and applications in the area of the advanced communications technology. The conference official language is English. All the presented papers have been published in the Conference Proceedings, and posted on the ICACT Website and IEEE Xplore Digital Library since 2004. The honorable ICACT Out-Standing Paper Award list has been posted on the IEEE Xplore Digital Library also, and all the Out-Standing papers are subjected to the invited paper of the "ICACT Transactions on the Advanced Communications Technology" Journal issued by GIRI

  • 2017 19th International Conference on Advanced Communication Technology (ICACT)

    With technically co-sponsored by IEEE ComSoc(Communications Society), IEEE ComSoc CISTC(Communications & Information Security Technical Community), and IEEE ComSoc ONTC(Optical Networking Technical Community), the ICACT(International Conference on Advanced Communications Technology) Conference has been providing an open forum for scholars, researchers, and engineers to the extensive exchange of information on newly emerging technologies, standards, services, and applications in the area of the advanced communications technology. The conference official language is English. All the presented papers have been published in the Conference Proceedings, and posted on the ICACT Website and IEEE Xplore Digital Library since 2004. The honorable ICACT Out-Standing Paper Award list has been posted on the IEEE Xplore Digital Library also, and all the Out-Standing papers are subjected to the invited paper of the "ICACT Transactions on the Advanced Communications Technology" Journal issued by

  • 2016 18th International Conference on Advanced Communication Technology (ICACT)

    With technically co-sponsored by IEEE ComSoc(Communications Society), IEEE ComSoc CISTC(Communications & Information Security Technical Community), and IEEE ComSoc ONTC(Optical Networking Technical Community), the ICACT(International Conference on Advanced Communications Technology) Conference has been providing an open forum for scholars, researchers, and engineers to the extensive exchange of information on newly emerging technologies, standards, services, and applications in the area of the advanced communications technology. The conference official language is English. All the presented papers have been published in the Conference Proceedings, and posted on the ICACT Website and IEEE Xplore Digital Library since 2004. The honorable ICACT Out-Standing Paper Award list has been posted on the IEEE Xplore Digital Library also, and all the Out-Standing papers are subjected to the invited paper of the "ICACT Transactions on the Advanced Communications Technology" Journal issued by GiRI.

  • 2015 17th International Conference on Advanced Communication Technology (ICACT)

    With technically co-sponsored by IEEE ComSoc(Communications Society), IEEE ComSoc CISTC(Communications & Information Security Technical Community), and IEEE ComSoc ONTC(Optical Networking Technical Community), the ICACT(International Conference on Advanced Communications Technology) Conference has been providing an open forum for scholars, researchers, and engineers to the extensive exchange of information on newly emerging technologies, standards, services, and applications in the area of the advanced communications technology. The conference official language is English. All the presented papers have been published in the Conference Proceedings, and posted on the ICACT Website and IEEE Xplore Digital Library since 2004. The honorable ICACT Out-Standing Paper Award list has been posted on the IEEE Xplore Digital Library also, and all the Out-Standing papers are subjected to the invited paper of the "ICACT Transactions on the Advanced Communications Technology" Journal issued by GiRI.

  • 2014 16th International Conference on Advanced Communication Technology (ICACT)

    Technology, service, architecture, strategy, and policy in newly emerging system, standard, service, and variety of application on the area of telecommunications. ICACT 2014 provides an open forum for scholar, researcher, engineer, policy maker, network planner, and service provider in the advanced communication technologies.

  • 2013 15th International Conference on Advanced Communication Technology (ICACT)

    Technology, standard, service, architecture, strategy, and policy in newly emerging systems and a variety of applications in the area of communications. ICACT2013 provides an open forum for scholar, researcher, engineer, policy maker, network planner, and service provider in the advanced communications technologies.

  • 2012 14th International Conference on Advanced Communication Technology (ICACT)

    Technology, service, architecture, strategy, and policy in newly emerging systems, standards, service, and a variety of applications in the area of telecommunicatons. ICACT 2012 provides an open forum for scholars, researchers, engineers, policy makers, network planners, and service providers in the advanced communication technologies.

  • 2011 13th International Conference on Advanced Communication Technology (ICACT)

    International Conference on Advanced Communication Technology (ICACT) provides an open forum for researchers, engineers, policy, network planners, and service providers in the advanced communication technologies. Extensive exchange of information will be provided on newly emerging systems, standards, services, and variety of applications on the area of telecommunications.

  • 2010 12th International Conference on Advanced Communication Technology (ICACT)

    ICACT is an annual conference providing an open forum for researchers, engineers, network planners, and service providers in telecommunications. Extensive exchange of information will be provided on newly emerging systems, standards, services, and variety of applications in the area of telecommunications.

  • 2009 11th International Conference on Advanced Communication Technology (ICACT)

    ICACT is an annual conference providing an open forum for researchers, engineers, network planners, and service providers in telecommunications. Extensive exchange of information will be provided on newly emerging systems, standards, services, and variety of applications in the area of telecommunications.

  • 2008 10th International Conference Advanced Communication Technology (ICACT)

  • 2007 9th International Conference Advanced Communication Technology (ICACT)

  • 2006 8th International Conference Advanced Communication Technology (ICACT)

  • 2005 7th International Conference Advanced Communication Technology (ICACT)

  • 2004 6th International Conference Advanced Communication Technology (ICACT)


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Periodicals related to Convolution

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Aerospace and Electronic Systems Magazine, IEEE

The IEEE Aerospace and Electronic Systems Magazine publishes articles concerned with the various aspects of systems for space, air, ocean, or ground environments.


Antennas and Propagation, IEEE Transactions on

Experimental and theoretical advances in antennas including design and development, and in the propagation of electromagnetic waves including scattering, diffraction and interaction with continuous media; and applications pertinent to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques.


Audio, Speech, and Language Processing, IEEE Transactions on

Speech analysis, synthesis, coding speech recognition, speaker recognition, language modeling, speech production and perception, speech enhancement. In audio, transducers, room acoustics, active sound control, human audition, analysis/synthesis/coding of music, and consumer audio. (8) (IEEE Guide for Authors) The scope for the proposed transactions includes SPEECH PROCESSING - Transmission and storage of Speech signals; speech coding; speech enhancement and noise reduction; ...


Automatic Control, IEEE Transactions on

The theory, design and application of Control Systems. It shall encompass components, and the integration of these components, as are necessary for the construction of such systems. The word `systems' as used herein shall be interpreted to include physical, biological, organizational and other entities and combinations thereof, which can be represented through a mathematical symbolism. The Field of Interest: shall ...


Biomedical Engineering, IEEE Transactions on

Broad coverage of concepts and methods of the physical and engineering sciences applied in biology and medicine, ranging from formalized mathematical theory through experimental science and technological development to practical clinical applications.


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Most published Xplore authors for Convolution

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Xplore Articles related to Convolution

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High speed convolution and deconvolution algorithm (Based on Ancient Indian Vedic Mathematics)

[{u'author_order': 1, u'affiliation': u'Electronics and Communication Department, The LNM Institute of Information Technology, Jaipur, India', u'full_name': u'Surabhi Jain'}, {u'author_order': 2, u'affiliation': u'Electronics and Communication Department, The LNM Institute of Information Technology, Jaipur, India', u'full_name': u'Sandeep Saini'}] 2014 11th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), 2014

In Digital Signal Processing, the convolution and deconvolution with a very long sequence is ubiquitous in many application areas. The basic blocks in convolution and de-convolution implementation are multiplier and divider. They consume much of time. This paper presents a direct method of computing the discrete linear convolution, circular convolution and deconvolution. The approach is easy to learn because of ...


Simple Trapezoidal Recursive Convolution Technique for the Frequency-Dependent FDTD Analysis of a Drude–Lorentz Model

[{u'author_order': 1, u'full_name': u'Jun Shibayama'}, {u'author_order': 2, u'full_name': u'Ryoji Ando'}, {u'author_order': 3, u'full_name': u'Akifumi Nomura'}, {u'author_order': 4, u'full_name': u'Junji Yamauchi'}, {u'author_order': 5, u'full_name': u'Hisamatsu Nakano'}] IEEE Photonics Technology Letters, 2009

A concise formulation of the frequency-dependent finite-difference time-domain (FDTD) method is presented using the trapezoidal recursive convolution (TRC) technique for the analysis of a Drude-Lorentz model. The TRC technique requires single convolution integral in the formulation as in the recursive convolution (RC) technique, while maintaining the accuracy comparable to the piecewise linear RC (PLRC) technique with two convolution integrals. The ...


Hardware-Efficient Systolization of DA-Based Calculation of Finite Digital Convolution

[{u'author_order': 1, u'full_name': u'P.K. Meher'}] IEEE Transactions on Circuits and Systems II: Express Briefs, 2006

Novel one- and two-dimensional systolic structures are designed for computation of circular convolution using distributed arithmetic (DA). The proposed structures involve significantly less memory and less area-delay complexity compared with the existing DA-based structures for circular convolution. Besides, it is shown that the proposed systolic designs for circular convolution can be used for computation of linear convolution as well


An efficient VLSI architecture for 2-D convolution with quadrant symmetric kernels

[{u'author_order': 1, u'affiliation': u'Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA', u'full_name': u'M.Z. Zhang'}, {u'author_order': 2, u'affiliation': u'Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA', u'full_name': u'H.T. Ngo'}, {u'author_order': 3, u'affiliation': u'Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA', u'full_name': u'A.R. Livingston'}, {u'author_order': 4, u'affiliation': u'Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA', u'full_name': u'V.K. Asari'}] IEEE Computer Society Annual Symposium on VLSI: New Frontiers in VLSI Design (ISVLSI'05), 2005

A high performance digital architecture for computing 2D convolution utilizing the quadrant symmetry of the kernels is proposed in this paper. Pixels in the four quadrants of the kernel region with respect to an image pixel are considered simultaneously for computing the partial products of the convolution sum. A novel data handling strategy to identify the pixels to be fed ...


On the dual-Kernel, matric convolution integral in Discrete/Continuous control theory; exact, explicit, closed-form expressions for some simple cases

[{u'author_order': 1, u'affiliation': u'ECE Dept. Univ. of Alabama in Huntsville, 35899, USA', u'full_name': u'Ashley Hunt'}, {u'author_order': 2, u'affiliation': u'ECE Dept. Univ. of Alabama in Huntsville, 35899, USA', u'full_name': u'C. D. Johnson'}] 2009 41st Southeastern Symposium on System Theory, 2009

In the generalized-version of modern, MIMO discrete-time control, known as Discrete/Continuous (D/C) Control Theory, the traditional matric convolution integral B in the traditional, exact, discrete-time state-model: x((k +1)T) = Ax(kT)+ Bu(kT) is replaced by a more general convolution-matrix BH that has two independent kernels, which evolve in counterflow directions. The numerical-evaluation of the generalized matric convolution-integral BH is essential in ...


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Educational Resources on Convolution

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eLearning

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IEEE-USA E-Books

  • Convolution

    This chapter generates the sampled time-limited functions and processes them and calculates the convolution of two arbitrary time functions using numerical integration. It verifies the properties of convolution with the impulse function and investigates the frequency domain properties for convolution in the time domain. The chapter provides step-by-step code exercises and instructions to implement execution sequences. The m-file calculates the Fourier transforms of f1(t) and f2(t) numerically. It also plots the magnitude and phase spectra of the two signals. The chapter uses the two vectors f1 and f2 to represent the time-domain sampled versions of f1(t) and f2(t). Two other vectors Fw1 and Fw2 represent the frequency domain sampled vectors of the Fourier transforms of f1(t) and f2(t), respectively. The chapter is designed to help teach and understand communication systems using a classroom-tested, active learning approach.

  • A Bound on the Output of a Circular Convolution with Application to Digital Filtering

    When implementing a digital filter, it is important to utilize in the design a bound or estimate of the largest output value which will be obtained. Such a bound is particularly useful when fixed point arithmetic is to be used since it assists in determining register lengths necessary to prevent overflow. In this paper we consider the class of digital filters which have an impulse response of finite duration and are implemented by means of circular convolutions performed using the discrete Fourier transform. A least upper bound is obtained for the maximum possible output of a circular convolution for the general case of complex input sequences. For the case of real input sequences, a lower bound on the least upper bound is obtained. The use of these results in the implementation of this class of digital filters is discussed.

  • Appendix A: Convolution Properties

    This chapter contains sections titled: * Identity * Commutativity * Associativity * Distributivity * Circularity

  • Efficient Block Convolution

    This chapter contains sections titled: * Motivation * Block Data Formulation * Block Convolution ]]>

  • Unit Sample Response and Discrete-Time Convolution

    This chapter contains sections titled: Introduction, The Convolution Theorem for Z-Transforms, Convolution and General Linear Time-Invariant Systems, Algebraic Properties of the General Convolution Operation, An Example of Deconvolution, Summary, Exercises for Chapter 9, Problems for Chapter 9

  • Basic Prerequisites

    This chapter distinguishes between the reciprocity theorems of the time‐convolution and time‐correlation types. The importance of the nature of the temporal behavior of the interacting wave field quantities has been stressed by Bojarski who has introduced the time‐convolution‐and time‐correlation‐type reciprocity theorems applying to homogeneous, isotropic, and lossless media. The reciprocity relations will be given in the complex‐frequency domain. The power‐reciprocity theorem in antenna theory calls for the application of the reciprocity theorem of the time‐correlation type to the domain occupied by the antenna system. The antenna system may also contain perfectly conducting surfaces. The chapter investigates EM radiation, scattering, and reciprocity properties of antenna systems. To analyze the space‐time problems, it is necessary to localize the point in the problem configuration and register the instant at which a given wave field quantity occurs in its evolution following the source excitation.

  • DBRV Method for Calculation of the ISI Statistic

    This chapter contains sections titled:IntroductionMatrix Method for the Total ISISimulations of ISI PDFConcepts for the Gaussian StatisticDBRV Method for the Total ISIConclusionsReferences

  • Convolutional Channel Coding This tutorial chapter was first published by the IEEE Press in [462]. The copyright of this book was returned to the authors and the 2nd edition was published by Wiley, which did not include this chapter.

    This chapter contains sections titled: * Brief Channel Coding History * Convolutional Encoding * State and Trellis Transitions * The Viterbi Algorithm * Summary and Conclusions

  • Modeling and Simulation of Intersymbol Interference

    This chapter contains sections titled:IntroductionSingle‐Pole NRZ Pulse (SP‐NRZ)Gaussian NRZ Pulse (GS‐NRZ)Solution of the Variance SeriesBessel–Thompson NRZ PulseReferences

  • PSpice for Digital Signal Processing

    PSpice for Digital Signal Processing is the last in a series of five books using Cadence Orcad PSpice version 10.5 and introduces a very novel approach to learning digital signal processing (DSP). DSP is traditionally taught using Matlab/Simulink software but has some inherent weaknesses for students particularly at the introductory level. The ‘plug in variables and play’ nature of these software packages can lure the student into thinking they possess an understanding they don’t actually have because these systems produce results quicklywithout revealing what is going on. However, it must be said that, for advanced level work Matlab/Simulink really excel. In this book we start by examining basic signals starting with sampled signals and dealing with the concept of digital frequency. The delay part, which is the heart of DSP, is explained and applied initially to simple FIR and IIR filters. We examine linear time invariant systems starting with the difference equation and applying the z-transform to produce a range of filter type i.e. low-pass, high-pass and bandpass. The important concept of convolution is examined and here we demonstrate the usefulness of the 'log' command in Probe for giving the correct display to demonstrate the 'flip n slip' method. Digital oscillators, including quadrature carrier generation, are then examined. Several filter design methods are considered and include the bilinear transform, impulse invariant, and window techniques. Included also is a treatment of the raised-cosine family of filters. A range of DSP applications are then considered and include the Hilbert transform, single sideband modulator using the Hilbert transform and quad oscillators, integrators and differentiators. Decimation and interpolation are simulated to demonstrate the usefulness of the multi-sampling environment. Decimation is also applied in a treatment on digital receivers. Lastly, we look at some musical applications for DSP such as reverberation/echo using real-world signals imported into PSpice using the program Wav2Ascii. The zero-forcing equalizer is dealt with in a simplistic manner and illustrates the effectiveness of equalizing signals in a receiver after transmission.



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