Term
Describe the relationship between DFT & DTFT. 

Definition
X[k] = X(e^{jω})_{ω=kω0 }
_{ }
= X(e^{jkω0}) , 0 ≤ k ≤ N1
where... ω_{0 = }2Π/N 


Term
Describe the relationship between DFT & ztransform. 

Definition
X[k] = X(z)_{z=ejkω0 }, 0 ≤ k ≤ N1



Term
Describe the process of "zero padding". 

Definition
Increasing the value of N by "zero padding" the signal, increases the frequency repsonse of DFT. 


Term
Describe the relationship between DFT & DTFT. 

Definition
This can be considered as the frequency resolution of the DFT.
If the actual length of signal x[n] is L, obviously, N must be ≥ L for the DFT to be useful. 


Term
How is DFT identical to DTFT? 

Definition
If the finitelength x[n] is considered as a periodic sequence /w period N. 


Term

Definition
DFT transform pair:
[image]
Both x[n] and X[k] are discrete and of the same finite length N. 


Term
Describe Discretetime Fourier Series (DTFS). 

Definition
 DTFS transforms a periodic discretetime signal to discrete frequency representation.
 Both ˜x[n] and ˜X[k] are periodic sequences with period N.


