POWER CABLES AND THEIR APPLICATIONS:PART1, by Lothar Heinhold
ELECTIRCAL 3318

Fall 2013
ContinuousTime Fourier Transform
Definition The CTFT of a continuoustime signal xa (t ) is given by
ContinuousTime Fourier Transform
Definition The inverse CTFT of a Fourier transform X a ( j) is given by 1 jt x a (t ) = X a ( j)e d 2 Often referred t
POWER CABLES AND THEIR APPLICATIONS:PART1, by Lothar Heinhold
ELECTIRCAL 3318

Fall 2013
DTFT Properties
Example  Determine the DTFT Y (e j ) of y[n] = (n + 1) n[n], < 1 Let x[ n] = n[n], < 1 We can therefore write y[n] = n x[n] + x[n] From Table 3.3, the DTFT of x[n] is given by 1 X ( e j ) = 1 e j
Copyright 2005, S. K. Mitra
DTFT Properti
POWER CABLES AND THEIR APPLICATIONS:PART1, by Lothar Heinhold
ELECTIRCAL 3318

Fall 2013
zTransform
The DTFT provides a frequencydomain representation of discretetime signals and LTI discretetime systems Because of the convergence condition, in many cases, the DTFT of a sequence may not exist As a result, it is not possible to make use o
POWER CABLES AND THEIR APPLICATIONS:PART1, by Lothar Heinhold
ELECTIRCAL 3318

Fall 2013
Fixed Window Functions
Using a tapered window causes the height of the sidelobes to diminish, with a corresponding increase in the main lobe width resulting in a wider transition at the discontinuity Hann: w[ n] = 0.5 + 0.5cos( n ) , M n M M Hamming: w[