1. Sketch the following CT functions: (a) g(t) = 2u(4-t) (d) x(t) = 68(31 +9) (e) y(t) = 5 sine(t /2) (f) f(t)=-sinc(2(1 +1)) (g) x(t) = u(t+1/2)r(1/2-1) (h) h(t) = 4sinc(21)sgn(-t) %3D (b) x(t) = 5 sgn(t – 4) (c) g(t) = 1+ sgn(4-t)
1. Sketch the following CT functions: (a) g(t) = 2u(4-t) (d) x(t) = 68(31 +9) (e) y(t) = 5 sine(t /2) (f) f(t)=-sinc(2(1 +1)) (g) x(t) = u(t+1/2)r(1/2-1) (h) h(t) = 4sinc(21)sgn(-t) %3D (b) x(t) = 5 sgn(t – 4) (c) g(t) = 1+ sgn(4-t)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![1. Sketch the following CT functions:
(a) g(t) = 2u(4 --t)
(b) x(t)=5 sgn(t – 4)
(c) g(t) = 1+ sgn(4-t)
(d) x(t)= 68(3t +9)
(e) y(t) = 5 sine(t / 2)
(f) f(t)=-sinc(2(1+1))
(g) x(t) = u(t+ 1/2)r(1/2-1)
(h) h(t) = 4sinc(21)sgn(-t)
2. (a) A continuous time signal x(t) is shown in Fig. 1(a). Sketch each of the following signals:
(i) x(t – 2)
(ii) x(1–t)
(iii) x(2t + 2)
(iv) x(2 -- t/3)
(b) For the signal h(t) depicted in Fig. 1(b), sketch each of the following signals:
(1) (1/2)h(t)u(t) + h(-t)u(t) (ii) h(t/2)8(t +1) (iii) h(t)[u(t + 1) – u(t – 1)}
x(t)
h(t)
2
1
3
-1
1 2
-2
-1
2
-1
Fig. 1(a)
Fig. 1(b)
3. Sketch the following DT signals:
(a) x[n] = 2 cos(2m/6)– 3sin(m/3)
(b) g[n] = (3/4)"
(c) x[n] = 2(0.9)" sin(2m/4)
4. A discrete time signal x[n] is shown in Fig.2. Sketch and label carefully each of the following
signals:
(a)x[n-2] (b)x[4 – n]
(c)x[2n] (d)x[2n+1]
(e)x[n]u{2 – n]
(f)x[n–1]S[n– 3]
(g)(1/2)x[n]+ (1/2)(-1)" x[n]
(h)x[n°]
x[n]
-3 -2 -1 0 12 3 4
6 7 8 9 10 11 12
n->](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35b15cfa-8dd9-4c33-90bd-c9a584c52a62%2Fbb9c0e25-8cc9-49bc-aa72-91215e3c6bb8%2Fni4dnqn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Sketch the following CT functions:
(a) g(t) = 2u(4 --t)
(b) x(t)=5 sgn(t – 4)
(c) g(t) = 1+ sgn(4-t)
(d) x(t)= 68(3t +9)
(e) y(t) = 5 sine(t / 2)
(f) f(t)=-sinc(2(1+1))
(g) x(t) = u(t+ 1/2)r(1/2-1)
(h) h(t) = 4sinc(21)sgn(-t)
2. (a) A continuous time signal x(t) is shown in Fig. 1(a). Sketch each of the following signals:
(i) x(t – 2)
(ii) x(1–t)
(iii) x(2t + 2)
(iv) x(2 -- t/3)
(b) For the signal h(t) depicted in Fig. 1(b), sketch each of the following signals:
(1) (1/2)h(t)u(t) + h(-t)u(t) (ii) h(t/2)8(t +1) (iii) h(t)[u(t + 1) – u(t – 1)}
x(t)
h(t)
2
1
3
-1
1 2
-2
-1
2
-1
Fig. 1(a)
Fig. 1(b)
3. Sketch the following DT signals:
(a) x[n] = 2 cos(2m/6)– 3sin(m/3)
(b) g[n] = (3/4)"
(c) x[n] = 2(0.9)" sin(2m/4)
4. A discrete time signal x[n] is shown in Fig.2. Sketch and label carefully each of the following
signals:
(a)x[n-2] (b)x[4 – n]
(c)x[2n] (d)x[2n+1]
(e)x[n]u{2 – n]
(f)x[n–1]S[n– 3]
(g)(1/2)x[n]+ (1/2)(-1)" x[n]
(h)x[n°]
x[n]
-3 -2 -1 0 12 3 4
6 7 8 9 10 11 12
n->
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