Digital Signal Processing. Discrete Fourier Transform. Discrete Fourier Transform. Inverse Discrete Fourier Transform. Properties of DFT. DFT has the same number of datapoints as the signal The signal is assumed to be periodic with a period of N
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Discrete Fourier Transform
Inverse Discrete Fourier Transform
a1*y(n) = b1*x(n) +b2*x(n-1) + ... + bnb+1x(n-nb)
- a2*y(n-1) - ... – ana+1*y(n-na)
X=[x(n-nb),..., x(n-1), x(n)]: input signal
Y=[y(n-na),..., y(n-1), y(n)]: filtered signal