Page 307 - Schaum's Outlines - Probability, Random Variables And Random Processes

FOURIER TRANSFORM [APP. B

Table B-2 Common Continuous-Time Fourier Transform Pairs

2nS(o)
2nS(o - w,)
a[G(o - a,) + S(w + o,)]
-jn[S(o - oo) - 6(w + a,)]

(jo + a)'
2a
a2 + o2

sin oa
2a -
ma
sin at
7ct
1
sgn t = i t>O
-1
t<O

B.2 DISCRETE-TIME FOURIER TRANSFORM
Definition :

Table B-3 Properties of the Discrete-Time Fourier Transform