- #1
Bipolarity
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So the complex exponential Fourier series form an orthonormal basis for the space of functions. A periodic function can be represented with countably many elements from the basis, and an aperiodic function requires uncountably many elements.
Given a signal, we can find the coefficients of the exponentials in two ways:
1) Fourier transform
2) Inner product with that complex exponential
Though these two formulas are similar, they are not identical. So how could they both possibly give us the coefficient of a complex exponential?
Thanks!
BiP
Given a signal, we can find the coefficients of the exponentials in two ways:
1) Fourier transform
2) Inner product with that complex exponential
Though these two formulas are similar, they are not identical. So how could they both possibly give us the coefficient of a complex exponential?
Thanks!
BiP