Periodic

On discrete fourier coefficient convolution of indivdual periodic signals with different frequencies

On discrete fourier coefficient convolution of indivdual periodic signals with different frequencies
  1. How does the Fourier series and in the representation of periodic signals?
  2. How do you calculate DFT coefficient?
  3. Is discrete Fourier transform periodic?

How does the Fourier series and in the representation of periodic signals?

Fourier Series Representation of Continuous Time Periodic Signals. A signal is said to be periodic if it satisfies the condition x (t) = x (t + T) or x (n) = x (n + N). These two signals are periodic with period T=2π/ω0. Where ak= Fourier coefficient = coefficient of approximation.

How do you calculate DFT coefficient?

The DFT formula for X k X_k Xk​ is simply that X k = x ⋅ v k , X_k = x \cdot v_k, Xk​=x⋅vk​, where x x x is the vector ( x 0 , x 1 , … , x N − 1 ) .

Is discrete Fourier transform periodic?

the DFT spectrum is periodic with period N (which is expected, since the DTFT spectrum is periodic as well, but with period 2π).

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