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? https://youtu.be/VtbRelEnms8
• Visualising the Fourier Transform https://youtu.be/U7ii8agAhIs
• What is the Fourier Transform? https://youtu.be/G74t5az6PLo
• Fourier Transform Equation Explained https://youtu.be/8V6Hi-kP9EE
• Fourier Transform of cos function https://youtu.be/McITNfo3LKc
• OFDM Waveforms https://youtu.be/F6B4Kyj2rLw
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* 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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