Fourier Series Example #2
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We find the trigonometric Fourier series (TFS) and compact TFS (CTFS) for a periodic "pulse-train" waveform.
Since the signal is even, the sinusoid components of the TFS are zero and thus bn = 0 for all n. Only the a0 and an coefficients terms need to be computed.
After computing the TFS, we also find the CTFS by both using the regular equations and also using a trigonometric identity to turn each sine term of the TFS into the desired cosine term of the CTFS.
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!
Видео Fourier Series Example #2 канала Adam Panagos
Join the YouTube channel for membership perks:
https://www.youtube.com/channel/UCvpWRQzhm8cE4XbzEHGth-Q/join
We find the trigonometric Fourier series (TFS) and compact TFS (CTFS) for a periodic "pulse-train" waveform.
Since the signal is even, the sinusoid components of the TFS are zero and thus bn = 0 for all n. Only the a0 and an coefficients terms need to be computed.
After computing the TFS, we also find the CTFS by both using the regular equations and also using a trigonometric identity to turn each sine term of the TFS into the desired cosine term of the CTFS.
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!
Видео Fourier Series Example #2 канала Adam Panagos
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