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Res.6-008 Digital Signal Processing

Res.6-008 Digital Signal Processing (MIT OCW). This consists of 22 video lectures (20 lectures plus 2 demonstration videos) given by Prof. Alan V. Oppenheim, discussing the analysis and representation of discrete-time signal systems, digital filters, and computation of the discrete Fourier transform. Digital Signal Processing begins with a discussion of the analysis and representation of discrete-time signal systems, including discrete-time convolution, difference equations, the z-transform, and the discrete-time Fourier transform. Emphasis is placed on the similarities and distinctions between discrete-time. The course proceeds to cover digital network and nonrecursive (finite impulse response) digital filters. Digital Signal Processing concludes with digital filter design and a discussion of the fast Fourier transform algorithm for computation of the discrete Fourier transform. (from ocw.mit.edu)

Lecture 10 - Circular Convolution

Circular convolution of finite length sequences, interpretation of circular convolution as linear convolution followed by aliasing, implementing linear convolution by means of circular convolution.


Go to the Course Home or watch other lectures:

Demonstration - Sampling, Aliasing, and Frequency Response, Part 1
Demonstration - Sampling, Aliasing, and Frequency Response, Part 2
Lecture 01 - Introduction
Lecture 02 - Discrete-Time Signals and Systems, Part 1
Lecture 03 - Discrete-Time Signals and Systems, Part 2
Lecture 04 - The Discrete-Time Fourier Transform
Lecture 05 - The z-Transform
Lecture 06 - The Inverse z-Transform
Lecture 07 - z-Transform Properties
Lecture 08 - The Discrete Fourier Series
Lecture 09 - The Discrete Fourier Transform
Lecture 10 - Circular Convolution
Lecture 11 - Representation of Linear Digital Networks
Lecture 12 - Network Structures for Infinite Impulse Response (IIR) Systems
Lecture 13 - Network Structures for Finite Impulse Response (FIR) Systems and Parameter Quantization Effects in Digital Filter Structures
Lecture 14 - Design of IIR Digital Filters, Part 1
Lecture 15 - Design of IIR Digital Filters, Part 2
Lecture 16 - Digital Butterworth Filters
Lecture 17 - Design of FIR Digital Filters
Lecture 18 - Computation of the Discrete Fourier Transform, Part 1
Lecture 19 - Computation of the Discrete Fourier Transform, Part 2
Lecture 20 - Computation of the Discrete Fourier Transform, Part 3