1. Express S₁ (t) and s₂ (t) in (a), (b), and (c) in terms of s(t), where s(t) = {4₁ Hence, determine if any of the signal sets given in (a), (b), and (c) are orthogonal over [0, 7]. Explain your answers. $₁ (t) 0 T S₂ (t) A 0 (a) T t $₁ (t) 0 ≤t

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1.
Express S₁ (t) and s₂ (t) in (a), (b), and (c) in terms of s(t), where
(A,
0 ≤t<T
s(t) = {4
Otherwise
Hence, determine if any of the signal sets given in (a), (b), and (c) are orthogonal over
[0, 7]. Explain your answers.
$₁ (t)
0
T
S₂ (t)
A
0
(a)
T
t
0,
$₁ (t)
0
-A
T
t
S₂ (t)
A
0
(b)
T
S₁ (t)
A
0
T
A
0
(c)
S₂ (t)
A
2 T
Transcribed Image Text:1. Express S₁ (t) and s₂ (t) in (a), (b), and (c) in terms of s(t), where (A, 0 ≤t<T s(t) = {4 Otherwise Hence, determine if any of the signal sets given in (a), (b), and (c) are orthogonal over [0, 7]. Explain your answers. $₁ (t) 0 T S₂ (t) A 0 (a) T t 0, $₁ (t) 0 -A T t S₂ (t) A 0 (b) T S₁ (t) A 0 T A 0 (c) S₂ (t) A 2 T
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