Question

2.10 Functions $x(t)$ and $h(t)$ are both rectangular pulses, as shown in Fig. P2.10. Apply graphical convolution to determine y(t) = x(t) * h(t) given the following data. (a) A = 1, B = 1, $T_1$ = 2s, $T_2$ = 4 s (b) A = 2, B = 1, $T_1$ = 4s, $T_2$ = 2 s *(c) A = 1, B = 2, $T_1$ = 4 s, $T_2$ = 2 s. x(t) A h(t) B 0 0 t(s) t(s) 0 $T_1$ 0 $T_2$ Figure P2.10: Waveforms of x(t) and h(t).

          2.10 Functions $x(t)$ and $h(t)$ are both rectangular pulses, as
shown in Fig. P2.10. Apply graphical convolution to determine
y(t) = x(t) * h(t) given the following data.
(a) A = 1, B = 1, $T_1$ = 2s, $T_2$ = 4 s
(b) A = 2, B = 1, $T_1$ = 4s, $T_2$ = 2 s
*(c) A = 1, B = 2, $T_1$ = 4 s, $T_2$ = 2 s.
x(t)
A
h(t)
B
0
0
t(s)
t(s)
0 $T_1$
0
$T_2$
Figure P2.10: Waveforms of x(t) and h(t).

2.10 Functions x(t) and h(t) are both rectangular pulses, as
shown in Fig. P2.10. Apply graphical convolution to determine
y(t) = x(t) * h(t) given the following data.
(a) A = 1, B = 1, T1 = 2s, T2 = 4 s
(b) A = 2, B = 1, T1 = 4s, T2 = 2 s
*(c) A = 1, B = 2, T1 = 4 s, T2 = 2 s.
x(t)
A
h(t)
B
0
0
t(s)
t(s)
0 T1
0
T2
Figure P2.10: Waveforms of x(t) and h(t).

Added by Josefina G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Stephen Zaffke

Step 1

We're dealing with rectangular pulses for both x(t) and h(t), and we're asked to perform graphical convolution, y(t) = x(t) * h(t), under three different scenarios. Let's tackle each scenario step by step. ### Scenario a) A = 1, B = 1, T1 = 2s, T2 = 4s #### Show more…

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2.10 Functions x(t) and h(t) are both rectangular pulses, as shown in Fig. P2.10. Apply graphical convolution to determine y(t) = x(t) * h(t) given the following data: a) A = 1, B = 1, T = 2s, T = 4s b) A = 2, B = 1, T1 = 4s, T2 = 2s c) A = 1, B = 2, T = 4s, T = 2s x(t) h(t) A B 0 0 0 0 >t (s) -t (s) T1 T2 Figure P2.10: Waveforms of x(t) and h(t)