This section contains lecture videos. http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures 2013-01-12T09:18:32+05:00 MIT OpenCourseWare http://ocw.mit.edu en-US Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Sampling and aliasing with a sinusoidal signal, sinusoidal response of a digital filter, dependence of frequency response on sampling period, periodic nature of the frequency response of a digital filter.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Sampling, aliasing, sinusoidal response, frequency response, sampling period, digital filter<br><br>Thumbnail - <a href= http://img.youtube.com/vi/zBJMh-m9b1E/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_demo1_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/demonstration-1-sampling-aliasing/id481803782?i=108362002>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/zBJMh-m9b1E>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/demonstration-1-sampling-aliasing-and-frequency-response-part-1 Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Sampling aliasing sinusoidal response frequency response sampling period digital filter MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Sampling and aliasing with a sinusoidal signal, sinusoidal response of a digital filter, dependence of frequency response on sampling period, periodic nature of the frequency response of a digital filter.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Sampling, aliasing, sinusoidal response, frequency response, sampling period, digital filter<br><br>Thumbnail - <a href= http://img.youtube.com/vi/OQNR099y8mM/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_demo2_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/demonstration-2-sampling-aliasing/id481803782?i=108361995>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/OQNR099y8mM>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/demonstration-2-sampling-aliasing-and-frequency-response-part-2 Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Sampling aliasing sinusoidal response frequency response sampling period digital filter MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Introduction, applications, Enhancement, processing.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: applications, digital processing<br><br>Thumbnail - <a href= http://img.youtube.com/vi/rkvEM5Y3N60/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec01_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-1-introduction/id481803782?i=108361996>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/rkvEM5Y3N60>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-1-introduction Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US applications digital processing MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Definitions of basic discrete-time signals: The unit sample, unit step, exponential and sinusoidal sequences, definitions and representations of linear time-invariant discrete-time systems, properties of discrete-time convolution.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: discrete-time signals, unit sample, unit step, exponential sequences, sinusoidal sequences, linear time-invariant discrete-time systems, discrete-time convolution<br><br>Thumbnail - <a href= http://img.youtube.com/vi/TuCYGjp7WKU/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec02_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-2-discrete-time-signals/id481803782?i=108361999>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/TuCYGjp7WKU>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-2-discrete-time-signals-and-systems-part-1 Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US discrete-time signals unit sample unit step exponential sequences sinusoidal sequences linear time-invariant discrete-time systems discrete-time convolution MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Stability and causality for discrete-time systems, systems described by linear constant-coefficient difference equations, frequency response of linear time-invariant systems.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Stability, causality, linear constant-coefficient difference equations, frequency response of linear time-invariant systems, sinusoidal response<br><br>Thumbnail - <a href= http://img.youtube.com/vi/XT6o4IRTcLk/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec03_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-3-discrete-time-signals/id481803782?i=108362003>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/XT6o4IRTcLk>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-3-discrete-time-signals-and-systems-part-2 Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Stability causality linear constant-coefficient difference equations frequency response of linear time-invariant systems sinusoidal response MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Generalization of the frequency response representation of sequences, inverse Fourier transform relation, symmetry properties of Fourier transforms, relationship between continuous-time and discrete-time Fourier transforms.</p><p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Frequency response representation of sequences, inverse Fourier transform, symmetry properties, continuous-time and discrete-time Fourier transforms, sampling theorem, aliasing<br><br>Thumbnail - <a href= http://img.youtube.com/vi/dHveJh0UbY8/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec04_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-4-the-discrete-time/id481803782?i=108362007>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/dHveJh0UbY8>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-4-the-discrete-time-fourier-transform Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Frequency response representation of sequences inverse Fourier transform symmetry properties continuous-time and discrete-time Fourier transforms sampling theorem, aliasing MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Generalization of Fourier transform to z-transform, relationship of Fourier transform to z-transform, region of convergence of z transforms, characteristics of region of convergence in relation to poles, zeros, stability, and causality.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Z-transform, generalized Fourier transform, region of convergence, absolute summable, poles, zeros, stable, causal<br><br>Thumbnail - <a href= http://img.youtube.com/vi/I9u15zdgJvI/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec05_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-5-the-z-transform/id481803782?i=108362005>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/I9u15zdgJvI>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-5-the-z-transform Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Z-transform generalized Fourier transform region of convergence absolute summable poles zeros stable causal MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Methods of implementing the inverse z-transforms: Inspection method, power series, partial fraction expansion, and contour integration.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: inverse z-transform, inspection method, power series, partial fraction expansion, contour integration, residues, z-plane<br><br>Thumbnail - <a href= http://img.youtube.com/vi/SMnPZzlgtXU/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec06_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-6-the-inverse-z-transform/id481803782?i=108362012>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/SMnPZzlgtXU>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-6-the-inverse-z-transform Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US inverse z-transform inspection method power series partial fraction expansion contour integration residues z-plane MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Geometric determination of frequency response from pole-zero patterns in the z-plane, properties of z-transforms: Scaling, differentiation, shifting, and convolution, examples of proof of properties of z-transforms.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Frequency response, pole-zero patterns, z-plane, z-transforms, properties of z-transforms, geometric interpretation of frequency response<br><br>Thumbnail - <a href= http://img.youtube.com/vi/LrNXtw0E7Dk/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec07_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-7-z-transform-properties/id481803782?i=108361993>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/LrNXtw0E7Dk>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-7-z-transform-properties Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Frequency response pole-zero patterns z-plane z-transforms properties of z-transforms geometric interpretation of frequency response MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Fourier series representation for periodic sequences, determination of Fourier series coefficients, properties of Fourier series.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Discrete Fourier series, properties of Fourier series, finite length sequence<br><br>Thumbnail - <a href= http://img.youtube.com/vi/n9u9Vy_peHM/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec08_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-8-the-discrete-fourier/id481803782?i=108362010>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/n9u9Vy_peHM>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-8-the-discrete-fourier-series Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Discrete Fourier series properties of Fourier series finite length sequence MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Sampling and aliasing with a sinusoidal signal, sinusoidal response of a digital filter, dependence of frequency response on sampling period, periodic nature of the frequency response of a digital filter.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Sampling, aliasing, sinusoidal response, frequency response, sampling period, digital filter<br><br>Thumbnail - <a href= http://img.youtube.com/vi/rF5sEfhttwo/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec09_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-9-the-discrete-fourier/id481803782?i=108361991>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/rF5sEfhttwo>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-9-the-discrete-fourier-transform Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Sampling aliasing sinusoidal response frequency response sampling period digital filter MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Circular convolution of finite length sequences, interpretation of circular convolution as linear convolution followed by aliasing, implementing linear convolution by means of circular convolution.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Circular convolution, linear convolution, finite length sequences<br><br>Thumbnail - <a href= http://img.youtube.com/vi/_KbfL3lVgag/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec10_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-10-circular-convolution/id481803782?i=108362004>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/_KbfL3lVgag>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-10-circular-convolution Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Circular convolution linear convolution finite length sequences MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Block diagram presentation of difference equations, linear-signal flow graphs, flow graph representation of difference equations, matrix representation of digital networks, computability of digital networks.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Block diagrams, difference equations, linear-signal flow graphs, flow graphs, matrix representation, computability of digital networks<br><br>Thumbnail - <a href= http://img.youtube.com/vi/xwRn_lTA6JY/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec11_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-11-representation/id481803782?i=108361992>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/xwRn_lTA6JY>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-11-representation-of-linear-digital-networks Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Block diagrams difference equations linear-signal flow graphs flow graphs matrix representation computability of digital networks MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Basic network structures for IIR filters, direct cascade and parallel form, canonic structures, transposition theorem for digital networks and the resulting transposed forms.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: IIR filters, infinite impulse response, direct cascade form, parallel form, canonic structures, transposition theorem, digital networks, network structures<br><br>Thumbnail - <a href= http://img.youtube.com/vi/mUpwOQ0w2vk/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec12_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-12-network-structures/id481803782?i=108362000>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/mUpwOQ0w2vk>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-12-network-structures-for-infinite-impulse-response-iir-systems Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US IIR filters infinite impulse response direct cascade form parallel form canonic structures transposition theorem digital networks network structures MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Direct form FIR filters, efficient implementation of FIR filters with linear phase, frequency sampling structure, effects of parameter-quantization in digital filter implementation.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Direct form FIR filters, FIR filters, frequency sampling structure, parameter quantization, finite impulse response<br><br>Thumbnail - <a href= http://img.youtube.com/vi/AsSsGjaBbas/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec13_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-13-network-structures/id481803782?i=108362001>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/AsSsGjaBbas>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-13-network-structures-for-finite-impulse-response-fir-systems-and-parameter-quantization-effects-in-digital-filter-structures Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Direct form FIR filters FIR filters frequency sampling structure parameter quantization finite impulse response MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Transformation of analog filter designs to digital filter designs, approximation of derivatives by differences, impulse invariant design procedures.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: IIR digital filters, digital design problem, digital filter design, analog filter design, differentials to differences, impulse invariance, infinite impulse response digital filters<br><br>Thumbnail - <a href= http://img.youtube.com/vi/U13m6L6R58w/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec14_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-14-design-iir-digital/id481803782?i=106433646>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/U13m6L6R58w>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-14-design-of-iir-digital-filters-part-1 Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US IIR digital filters digital design problem digital filter design analog filter design differentials to differences impulse invariance infinite impulse response digital filters MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Digital filter design using the bilinear transformation, frequency warping introduced by the bilinear transformation, algorithmic design procedures for IIR filters.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: IIR digital filters, digital filter design, impulse invariance, bilinear transformation, frequency warping, algorithmic design procedures, infinite impulse response digital filters<br><br>Thumbnail - <a href= http://img.youtube.com/vi/ZbYAZLQHXSg/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec15_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-15-design-iir-digital/id481803782?i=108361994>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/ZbYAZLQHXSg>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-15-design-of-iir-digital-filters-part-2 Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US IIR digital filters digital filter design impulse invariance bilinear transformation frequency warping algorithmic design procedures infinite impulse response digital filters MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Design of digital Butterworth filter using impulse invariance, design of digital Butterworth filter using the bilinear transformation, comparison of the resulting designs.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Digital Butterworth filter, analog Butterworth filter, impulse invariance, bilinear transformation<br><br>Thumbnail - <a href= http://img.youtube.com/vi/JtJ3v__Rx7E/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec16_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-16-digital-butterworth/id481803782?i=108362009>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/JtJ3v__Rx7E>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-16-digital-butterworth-filters Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Digital Butterworth filter analog Butterworth filter impulse invariance bilinear transformation MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Design of FIR filters using windows, comparison of rectangular, Bartlett, and Hamming windows, frequency sampling method of filter design, optimum equi-ripple FIR filters.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: FIR filters, linear phase, windows, frequency sampling method, optimum equi-ripple FIR filters, rectangular windows, Bartlett windows, Hamming windows, finite impulse response digital filters<br><br>Thumbnail - <a href= http://img.youtube.com/vi/oJv4dsUID0Q/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec17_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-17-design-fir-digital/id481803782?i=108361998>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/oJv4dsUID0Q>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-17-design-of-fir-digital-filters Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US FIR filters linear phase windows frequency sampling method optimum equi-ripple FIR filters rectangular windows Bartlett windows Hamming windows finite impulse response digital filters MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Direct computation of the discrete-time Fourier transform, computation resulting from successive decimation of the sequences, the decimation-in-time form of the fast Fourier transform (FFT) algorithm, basic butterfly computation.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: discrete-time Fourier transform, fast Fourier transform algorithms, successive decimation, decimation-in-time, butterfly computation<br><br>Thumbnail - <a href= http://img.youtube.com/vi/14Vg7GyCVLY/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec18_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-18-computation-discrete/id481803782?i=108362011>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/14Vg7GyCVLY>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-18-computation-of-the-discrete-fourier-transform-part-1 Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US discrete-time Fourier transform fast Fourier transform algorithms successive decimation decimation-in-time butterfly computation MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Interpretation of FFT flow graph for in-place computation, bit-reversed data ordering, other decimation-in-time FFT algorithms by rearrangement of the flow graph, decimation-in-frequency FFT algorithm.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: FFT flow graph, bit-reversed data ordering, decimation-in-time FFT algorithms, decimation-in-frequency FFT algorithm, fast Fourier transform<br><br>Thumbnail - <a href= http://img.youtube.com/vi/4Gy1mik0tr4/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec19_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-19-computation-discrete/id481803782?i=108362008>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/4Gy1mik0tr4>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-19-computation-of-the-discrete-fourier-transform-part-2 Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US FFT flow graph bit-reversed data ordering decimation-in-time FFT algorithms decimation-in-frequency FFT algorithm fast Fourier transform MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Rearrangements of the basic decimation-in-frequency algorithm, relation between decimation-in-time and decimation-in-frequency through the transposition theorem, arbitrary radix FFT algorithms.</p> <p><strong>Instructor:</strong> Prof. Alan V. Oppenheim</p>Keywords: Decimation-in-time, decimation-in-frequency, transposition theorem, arbitrary radix FFT algorithms, DFT, inverse DFT, bit reversal<br><br>Thumbnail - <a href= http://img.youtube.com/vi/xRLaQ4My3ms/default.jpg>JPG (YouTube)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES.6-008/MITRES6_008_lec20_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/itunes-u/lecture-20-computation-discrete/id481803782?i=108362006>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/xRLaQ4My3ms>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/video-lectures/lecture-20-computation-of-the-discrete-fourier-transform-part-3 Oppenheim, Alan V. 2011-05-31T14:09:35+05:00 en-US Decimation-in-time decimation-in-frequency transposition theorem arbitrary radix FFT algorithms DFT inverse DFT bit reversal MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm