Res.6-007 Signals and Systems
Res.6-007 Signals and Systems (MIT OCW). This consists of 26 video lectures given by Prof. Alan V. Oppenheim, providing an introduction to analog and digital signal processing. The course presents and integrates the basic concepts for both continuous-time and discrete-time signals and systems. Signal and system representations are developed for both time and frequency domains. These representations are related through the Fourier transform and its generalizations, which are explored in detail. Filtering and filter design, modulation, and sampling for both analog and digital systems, as well as exposition and demonstration of the basic concepts of feedback systems for both analog and digital systems, are discussed and illustrated. (from ocw.mit.edu)
Lecture 10 - Discrete-Time Fourier Series |
Response of discrete-time LTI systems to complex exponentials; Representation of periodic signals: linear combinations of harmonically related complex exponentials; Similarities and differences with continuous time; Analysis and synthesis equations; Approximation of periodic signals and convergence; Discrete-time Fourier representation of aperiodic signals: the discrete-time Fourier transform; Fourier transform representation of periodic signals.
Go to the Course Home or watch other lectures: