X
第
1
页频域离散化证明
22( ) ( )FT
nn
t n T nTTppd d wゥ
= -? -
- 揪?邋Q
) )2 (( FT
nn
T t n T ndwd
p
￥￥
= = - -
\- 揪 - D W
频域采样点数 N，采样间隔 22
S
SN N T T
ppWD W = = =
×
频域 Xa(ω)与 相乘，( ) ( )
n
nw d w￥DW
= -
D = - D W?%
时域 xa(nTS)与 卷积，1 [ ( ) ] ( )
n
F T t n Twd ￥- DW
= -
D =%
1 [ ( ) ] ( )
2nn
TF n t n Td w d
p
ゥ-
= -? -
\ - D W =?邋
( ) ( ) 2 ( )F T F Tx t X x twp揪 井 -