# Shared Flashcard Set

## Details

Transform Analysis of LTI Systems
Frequency Response of LTI Systems, System Functons, Impulse Responses of Rational System Functions, FIR & IIR Systems
7
Engineering
04/04/2013

Term
 Describe the relationship between DFT & DTFT.
Definition
 X[k] = X(ejω)|ω=kω0                  = X(ejkω0) , 0 ≤ k ≤ N-1   where... ω0 = 2Π/N
Term
 Describe the relationship between DFT & z-transform.
Definition
 X[k] = X(z)|z=ejkω0     , 0 ≤ k ≤ N-1
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 finite-length x[n] is considered as a periodic sequence /w period N.
Term
 Describe a DFT Pair.
Definition
 DFT transform pair:   [image]     Both x[n] and X[k] are discrete and of the same finite length N.
Term
 Describe Discrete-time Fourier Series (DTFS).
Definition
 DTFS transforms a periodic discrete-time signal to discrete frequency representation. Both ˜x[n] and ˜X[k] are periodic sequences with period N.
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