6.003 Signals and Systems (Fall 2011, MIT OCW): Lecture 18 - Discrete-Time (DT) Fourier Representations

6.003 Signals and Systems

6.003 Signals and Systems (Fall 2011, MIT OCW). This consists of 25 video lectures given by Professor Dennis Freeman. This course covers the fundamentals of signal and system analysis, focusing on representations of discrete-time and continuous-time signals (singularity functions, complex exponentials and geometrics, Fourier representations, Laplace and Z transforms, sampling) and representations of linear, time-invariant systems (difference and differential equations, block diagrams, system functions, poles and zeros, convolution, impulse and step responses, frequency responses). Applications are drawn broadly from engineering and physics, including feedback and control, communications, and signal processing. (from ocw.mit.edu)

Lecture 18 - Discrete-Time (DT) Fourier Representations

Continuing the comparison of continuous- and discrete-time signals, today's lecture discusses the DT Fourier transform, computation of Fourier series via the Fast Fourier Transform (FFT), and examples from digital image processing.

Go to the Course Home or watch other lectures:

Lecture 01 - Signals and Systems

Lecture 02 - Discrete-Time (DT) Systems

Lecture 03 - Feedback, Poles, and Fundamental Modes

Lecture 04 - Continuous-Time (CT) Systems

Lecture 05 - Z Transform

Lecture 06 - Laplace Transform

Lecture 07 - Discrete Approximation of Continuous-Time Systems

Lecture 08 - Convolution

Lecture 09 - Frequency Response

Lecture 10 - Feedback and Control

Lecture 11 - Continuous-Time (CT) Frequency Response and Bode Plot