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 07 - Continuous-Time Fourier Series |
Response of continuous-time LTI systems to complex exponentials: the eigenfunction property; Representation of periodic signals as linear combinations of harmonically related complex exponentials; Fourier series for continuous time: the analysis and synthesis equations; Example: symmetric and anti-symmetric periodic square wave; Approximation of periodic signals; Fourier series convergence.
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