Orthogonal Basis Functions in the Fourier Transform

Описание к видео Orthogonal Basis Functions in the Fourier Transform

Explains how the Fourier Transform equation is in fact a projection of the time domain signal onto a set of orthogonal basis functions (the complex sinusoids).
Related videos: (see: http://iaincollings.com)
• What is the Fourier Transform used for?    • What is the Fourier Transform used for?  
• Visualising the Fourier Transform    • Visualising the Fourier Transform  
• What is the Fourier Transform?    • What is the Fourier Transform? ("Bril...  
• Fourier Transform Equation Explained    • Fourier Transform Equation Explained ...  
• Fourier Transform of cos function    • Fourier Transform of Cos  
• OFDM Waveforms    • OFDM Waveforms  
For a full list of Videos and Summary Sheets, goto: http://www.iaincollings.com

* Note that in the final expression, I really should have put an extra set of brackets around the argument of each of the two cos functions. ie. inside the final integral it should be 1/2 cos((ω1 + ωb) t) + 1/2 cos((ω1 - ωb) t)

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