Fourier Series Properties 23

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=okjyenT9sZQ

http://adampanagos.org • The Fourier Series representation of a continuous-time signal has a variety of properties that are noted/investigated in this three-part video sequence. We investigate the following properties in this video: • 1. The FS exists for all signals that meet the weak and strong Dirchlet conditions (i.e. must be absolutely integrable on the T0 time interval and have finite number of min/max and discontinuities. • 2. When a continuous-time signal is an even signal, all bn = 0 and a simplified equation can be used to compute a0 and an. • 3. When a continuous-time signal is an odd signal, all an = 0 and a simplified equation can be used to compute bn. • 4. Continuous-time signals with half-wave symmetry have no even harmonics in their FS representation (i.e. a2 = a4 = ... = b2 = b4 = ... = 0). • If you enjoyed my videos please Like and Subscribe . I regularly add new videos to my channel related to electrical engineering, communication theory, signal processing, and mathematics. Also, make sure to visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!

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