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FIGURE 23.4 Description of basic CT signal: (a) rectangular pulse, (b) triangular pulse, (c) sin c function.
The triangular function, denoted as Λ(t), is defined as
1 – t , t < 1
Λ t() = (23.8)
0, otherwise
Using the convolution theorem, to be discussed in section “Analysis of Continuous-Time Signals”, it
can be shown that
Λ t() = ∏ t () ∗ ∏ t ()
The sinc signal is defined as
sin ( πt)
sinct() = ------------------, t ≠ 0 (23.9)
πt
t =
1, 0
Both the triangular and sinc signals are shown in Figs. 23.4(b) and 23.4(c), respectively.
Basic Discrete-Time Signals
The unit sample sequence, denoted as δ(n), is defined as
1, n = 0
δ n() =
0, otherwise
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