Практикум по основам цифровой обработки сигналов. Шабунин А.В. - 27 стр.

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F(ω) = T
X
k=−∞
C
k
Sinc
µ
ωT
2
πk
Sinc
sin(x)/x C
k
ω
0
= 2π/T
F(n
2π
T
) = T
X
k=−∞
C
k
Sinc (πn πk)
Sinc() i = ±1, ±2, ±3
i = 0
n = k
F(n
2π
T
) = T C
n
,
C
k
=
1
T
F(k
2π
T
)
ω
k
= kω
0
F(ω) =
X
k=−∞
F(k
2π
T
)Sinc
µ
ωT
2
πk
ω
k
= kω
0
F
k
= F(kω
0
)
ω
0
x(n)
ω
d
= 2π
ω
0
x(n) = x(), n =
0, ..., N 1
0, ω
0
, 2ω
0
, ..., (N 1)ω
0
2π
2π/T = 2π/Nτ N
ω
k
= kω
0