(a) (b) (c) Consider the sampling expansion, u(t) = Σ u(kT)sinc(-k), of u(t) (Figure 1). u(1) 14 1/2 3 Figure 1: u(t). Write u(t) = (kT)sinc (-k) for T = 1. Find us (t) = kou(kT)sinc (-k) for T = 1. Compute the energy of the reconstruction error, e(t) = u(t) - uz(t).

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Author:Robert L. Boylestad
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(a)
(b)
(c)
Consider the sampling expansion, u(t) = Σku(KT)sinc (-k), of u(t) (Figure 1).
u(t)
1
1/2
3
O
6
Figure 1: u(t).
Write u(t) =
u(kT)sinc (-k) for T = 1.
Find us (t)=
kou(kT)sinc (-k) for T = 1.
Compute the energy of the reconstruction error, e(t) = u(t) - us(t).
Transcribed Image Text:(a) (b) (c) Consider the sampling expansion, u(t) = Σku(KT)sinc (-k), of u(t) (Figure 1). u(t) 1 1/2 3 O 6 Figure 1: u(t). Write u(t) = u(kT)sinc (-k) for T = 1. Find us (t)= kou(kT)sinc (-k) for T = 1. Compute the energy of the reconstruction error, e(t) = u(t) - us(t).
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