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Q3: In a communication system, the message given by m(t) = cos(20πt) frequency modulates the carrier given by rad/sec volt c(t) = 10 cos(180π x 10't) with ky = 100π 1- Calculate the power in the 1st, 2nd and 3rd sidebands. 2- Sketch the spectrum of the modulated signal considering only the carrier component and the first three harmonics. Jo J1 J2 J3 J4 Js J6 J₂ J8 ول J10 0.0 1.00 0.2 0.99 0.10 0.4 0.96 0.20 0.02 0.6 0.91 0.29 0.04 0.8 0.85 0.37 0.08 0.01 1.0 0.77 0.44 0.11 0.02 1.2 0.67 0.50 0.16 0.03 -0.01 1.4 0.57 0.54 0.21 0.05 -0.01 1.6 0.46 0.57 0.26 0.07' 0.01 1.8 0.34 0.58 0.31 0.10 0.02 2.0 0.22 0.58 0.35 0.13 0.03 -0.01 2.2 0.11 0.56 0.40 0.16 0.05 0.01 2.4 0.00 0.52 0.43 0.20 0.06 0.02 2.6 -0.10 0.47 0.46 0.24 0.08 0.02 -0.01 2.8 -0.19 0.41 0.48 0.27 0.11 0.03 -0.01 3.0 -0.26 0.34 0.49 0.31 0.13 0.04 0.01 3.2 -0.32 0.26 0.48 0.34 0.16 0.06 0.02 3.4 -0.36 0.18 0.47 0.37 0.19 0.07 0.02 -0.01 3.6 0.39 0.10 0.44 0.40 0.22 0.09 0.03 -0.01 3.8 -0.40 0.01 0.41 0.42 0.25 0.11 0.04 0.01 4.0 -0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02 4.2 -0.38 -0.14 0.31 0.43 0.31 0.16 0.06 0.02 -0.01 4.4 -0.34 -0.20 0.25 0.43 0.34 0.18 0.08 0.03 -0.01 4.6 -0.30 -0.26 0.18 0.42 0.36 0.21 0.09 0.03 0.01 4.8 -0.24 -0.30 0.12 0.40 0.38 0.23 0.11 0.04 0.01 5.0 -0.18 -0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02 -0.01 5.2 - 0.11 -0.34 -0.02 0.33 0.40 0.29 0.15 0.07 0.02 -0.01 5.4 -0.04 -0.35 -0.09 0.28 0.40 0.31 0.18 0.08 0.03 -0.01 5.6 0.03 -0.33 -0.15 0.23 0.39 0.33 0.20 0.09 0.04 0.01 5.8 0.09 -0.31 -0.20 0.17 0.38 0.35 0.22 0.11 0.05 0.02 -0.01 6.0 0.15 -0.28 -0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02 -0.01 6.2 0.20 -0.23 -0.28 0.05 0.33 0.37 0.27 0.15 0.07 0.03 -0.01 6.4 0.24 -0.18 -0.30 -0.01 0.29 0.37 0.29 0.17 0.08 0.03 0.01 6.6 0.27 -0.12 -0.31 -0.06 0.25 0.37 0.31 0.19 0.10 0.04 0.01 6.8 0.29 -0.07 -0.31 -0.12 0.21 0.36 0.33 0.21 0.11 0.05 0.02 7.0 0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.23 0.13 0.06 0.02 7.2 0.30 0.05 -0.28 -0.21 0.11 0.33 0.35 0.25 0.15 0.07 0.03 7.4 0.28 0.11 -0.25 -0.24 0.05 0.30 0.35 0.27 0.16 0.08 0.04 7.6 0.25 0.16 -0.21 -0.27 0.00 0.27 0.35 0.29 0.18 0.10 0.04 7.8 0.22 0.20 -0.16 -0.29 -0.06 0.23 0.35 0.31 0.20 0.11 0.05 8.0 0.17 0.23 -0.11 -0.29 -0.11 0.19 0.34 0.32 0.22 0.13 0.06

Q3: In a communication system, the message given by m(t) = cos(20πt) frequency modulates the carrier given by rad/sec volt c(t) = 10 cos(180π x 10't) with ky = 100π 1- Calculate the power in the 1st, 2nd and 3rd sidebands. 2- Sketch the spectrum of the modulated signal considering only the carrier component and the first three harmonics. Jo J1 J2 J3 J4 Js J6 J₂ J8 ول J10 0.0 1.00 0.2 0.99 0.10 0.4 0.96 0.20 0.02 0.6 0.91 0.29 0.04 0.8 0.85 0.37 0.08 0.01 1.0 0.77 0.44 0.11 0.02 1.2 0.67 0.50 0.16 0.03 -0.01 1.4 0.57 0.54 0.21 0.05 -0.01 1.6 0.46 0.57 0.26 0.07' 0.01 1.8 0.34 0.58 0.31 0.10 0.02 2.0 0.22 0.58 0.35 0.13 0.03 -0.01 2.2 0.11 0.56 0.40 0.16 0.05 0.01 2.4 0.00 0.52 0.43 0.20 0.06 0.02 2.6 -0.10 0.47 0.46 0.24 0.08 0.02 -0.01 2.8 -0.19 0.41 0.48 0.27 0.11 0.03 -0.01 3.0 -0.26 0.34 0.49 0.31 0.13 0.04 0.01 3.2 -0.32 0.26 0.48 0.34 0.16 0.06 0.02 3.4 -0.36 0.18 0.47 0.37 0.19 0.07 0.02 -0.01 3.6 0.39 0.10 0.44 0.40 0.22 0.09 0.03 -0.01 3.8 -0.40 0.01 0.41 0.42 0.25 0.11 0.04 0.01 4.0 -0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02 4.2 -0.38 -0.14 0.31 0.43 0.31 0.16 0.06 0.02 -0.01 4.4 -0.34 -0.20 0.25 0.43 0.34 0.18 0.08 0.03 -0.01 4.6 -0.30 -0.26 0.18 0.42 0.36 0.21 0.09 0.03 0.01 4.8 -0.24 -0.30 0.12 0.40 0.38 0.23 0.11 0.04 0.01 5.0 -0.18 -0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02 -0.01 5.2 - 0.11 -0.34 -0.02 0.33 0.40 0.29 0.15 0.07 0.02 -0.01 5.4 -0.04 -0.35 -0.09 0.28 0.40 0.31 0.18 0.08 0.03 -0.01 5.6 0.03 -0.33 -0.15 0.23 0.39 0.33 0.20 0.09 0.04 0.01 5.8 0.09 -0.31 -0.20 0.17 0.38 0.35 0.22 0.11 0.05 0.02 -0.01 6.0 0.15 -0.28 -0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02 -0.01 6.2 0.20 -0.23 -0.28 0.05 0.33 0.37 0.27 0.15 0.07 0.03 -0.01 6.4 0.24 -0.18 -0.30 -0.01 0.29 0.37 0.29 0.17 0.08 0.03 0.01 6.6 0.27 -0.12 -0.31 -0.06 0.25 0.37 0.31 0.19 0.10 0.04 0.01 6.8 0.29 -0.07 -0.31 -0.12 0.21 0.36 0.33 0.21 0.11 0.05 0.02 7.0 0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.23 0.13 0.06 0.02 7.2 0.30 0.05 -0.28 -0.21 0.11 0.33 0.35 0.25 0.15 0.07 0.03 7.4 0.28 0.11 -0.25 -0.24 0.05 0.30 0.35 0.27 0.16 0.08 0.04 7.6 0.25 0.16 -0.21 -0.27 0.00 0.27 0.35 0.29 0.18 0.10 0.04 7.8 0.22 0.20 -0.16 -0.29 -0.06 0.23 0.35 0.31 0.20 0.11 0.05 8.0 0.17 0.23 -0.11 -0.29 -0.11 0.19 0.34 0.32 0.22 0.13 0.06

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q3: In a communication system, the message given by m(t) = cos(20πt) frequency modulates the carrier given by rad/sec volt c(t) = 10 cos(180π x 10't) with ky = 100π 1- Calculate the power in the 1st, 2nd and 3rd sidebands. 2- Sketch the spectrum of the modulated signal considering only the carrier component and the first three harmonics. Jo J1 J2 J3 J4 Js J6 J₂ J8 ول J10 0.0 1.00 0.2 0.99 0.10 0.4 0.96 0.20 0.02 0.6 0.91 0.29 0.04 0.8 0.85 0.37 0.08 0.01 1.0 0.77 0.44 0.11 0.02 1.2 0.67 0.50 0.16 0.03 -0.01 1.4 0.57 0.54 0.21 0.05 -0.01 1.6 0.46 0.57 0.26 0.07' 0.01 1.8 0.34 0.58 0.31 0.10 0.02 2.0 0.22 0.58 0.35 0.13 0.03 -0.01 2.2 0.11 0.56 0.40 0.16 0.05 0.01 2.4 0.00 0.52 0.43 0.20 0.06 0.02 2.6 -0.10 0.47 0.46 0.24 0.08 0.02 -0.01 2.8 -0.19 0.41 0.48 0.27 0.11 0.03 -0.01 3.0 -0.26 0.34 0.49 0.31 0.13 0.04 0.01 3.2 -0.32 0.26 0.48 0.34 0.16 0.06 0.02 3.4 -0.36 0.18 0.47 0.37 0.19 0.07 0.02 -0.01 3.6 0.39 0.10 0.44 0.40 0.22 0.09 0.03 -0.01 3.8 -0.40 0.01 0.41 0.42 0.25 0.11 0.04 0.01 4.0 -0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02 4.2 -0.38 -0.14 0.31 0.43 0.31 0.16 0.06 0.02 -0.01 4.4 -0.34 -0.20 0.25 0.43 0.34 0.18 0.08 0.03 -0.01 4.6 -0.30 -0.26 0.18 0.42 0.36 0.21 0.09 0.03 0.01 4.8 -0.24 -0.30 0.12 0.40 0.38 0.23 0.11 0.04 0.01 5.0 -0.18 -0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02 -0.01 5.2 - 0.11 -0.34 -0.02 0.33 0.40 0.29 0.15 0.07 0.02 -0.01 5.4 -0.04 -0.35 -0.09 0.28 0.40 0.31 0.18 0.08 0.03 -0.01 5.6 0.03 -0.33 -0.15 0.23 0.39 0.33 0.20 0.09 0.04 0.01 5.8 0.09 -0.31 -0.20 0.17 0.38 0.35 0.22 0.11 0.05 0.02 -0.01 6.0 0.15 -0.28 -0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02 -0.01 6.2 0.20 -0.23 -0.28 0.05 0.33 0.37 0.27 0.15 0.07 0.03 -0.01 6.4 0.24 -0.18 -0.30 -0.01 0.29 0.37 0.29 0.17 0.08 0.03 0.01 6.6 0.27 -0.12 -0.31 -0.06 0.25 0.37 0.31 0.19 0.10 0.04 0.01 6.8 0.29 -0.07 -0.31 -0.12 0.21 0.36 0.33 0.21 0.11 0.05 0.02 7.0 0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.23 0.13 0.06 0.02 7.2 0.30 0.05 -0.28 -0.21 0.11 0.33 0.35 0.25 0.15 0.07 0.03 7.4 0.28 0.11 -0.25 -0.24 0.05 0.30 0.35 0.27 0.16 0.08 0.04 7.6 0.25 0.16 -0.21 -0.27 0.00 0.27 0.35 0.29 0.18 0.10 0.04 7.8 0.22 0.20 -0.16 -0.29 -0.06 0.23 0.35 0.31 0.20 0.11 0.05 8.0 0.17 0.23 -0.11 -0.29 -0.11 0.19 0.34 0.32 0.22 0.13 0.06
Transcribed Image Text:Q3: In a communication system, the message given by m(t) = cos(20πt) frequency modulates the carrier given by rad/sec volt c(t) = 10 cos(180π x 10't) with ky = 100π 1- Calculate the power in the 1st, 2nd and 3rd sidebands. 2- Sketch the spectrum of the modulated signal considering only the carrier component and the first three harmonics. Jo J1 J2 J3 J4 Js J6 J₂ J8 ول J10 0.0 1.00 0.2 0.99 0.10 0.4 0.96 0.20 0.02 0.6 0.91 0.29 0.04 0.8 0.85 0.37 0.08 0.01 1.0 0.77 0.44 0.11 0.02 1.2 0.67 0.50 0.16 0.03 -0.01 1.4 0.57 0.54 0.21 0.05 -0.01 1.6 0.46 0.57 0.26 0.07' 0.01 1.8 0.34 0.58 0.31 0.10 0.02 2.0 0.22 0.58 0.35 0.13 0.03 -0.01 2.2 0.11 0.56 0.40 0.16 0.05 0.01 2.4 0.00 0.52 0.43 0.20 0.06 0.02 2.6 -0.10 0.47 0.46 0.24 0.08 0.02 -0.01 2.8 -0.19 0.41 0.48 0.27 0.11 0.03 -0.01 3.0 -0.26 0.34 0.49 0.31 0.13 0.04 0.01 3.2 -0.32 0.26 0.48 0.34 0.16 0.06 0.02 3.4 -0.36 0.18 0.47 0.37 0.19 0.07 0.02 -0.01 3.6 0.39 0.10 0.44 0.40 0.22 0.09 0.03 -0.01 3.8 -0.40 0.01 0.41 0.42 0.25 0.11 0.04 0.01 4.0 -0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02 4.2 -0.38 -0.14 0.31 0.43 0.31 0.16 0.06 0.02 -0.01 4.4 -0.34 -0.20 0.25 0.43 0.34 0.18 0.08 0.03 -0.01 4.6 -0.30 -0.26 0.18 0.42 0.36 0.21 0.09 0.03 0.01 4.8 -0.24 -0.30 0.12 0.40 0.38 0.23 0.11 0.04 0.01 5.0 -0.18 -0.33 0.05 0.36 0.39 0.26 0.13 0.05 0.02 -0.01 5.2 - 0.11 -0.34 -0.02 0.33 0.40 0.29 0.15 0.07 0.02 -0.01 5.4 -0.04 -0.35 -0.09 0.28 0.40 0.31 0.18 0.08 0.03 -0.01 5.6 0.03 -0.33 -0.15 0.23 0.39 0.33 0.20 0.09 0.04 0.01 5.8 0.09 -0.31 -0.20 0.17 0.38 0.35 0.22 0.11 0.05 0.02 -0.01 6.0 0.15 -0.28 -0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02 -0.01 6.2 0.20 -0.23 -0.28 0.05 0.33 0.37 0.27 0.15 0.07 0.03 -0.01 6.4 0.24 -0.18 -0.30 -0.01 0.29 0.37 0.29 0.17 0.08 0.03 0.01 6.6 0.27 -0.12 -0.31 -0.06 0.25 0.37 0.31 0.19 0.10 0.04 0.01 6.8 0.29 -0.07 -0.31 -0.12 0.21 0.36 0.33 0.21 0.11 0.05 0.02 7.0 0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.23 0.13 0.06 0.02 7.2 0.30 0.05 -0.28 -0.21 0.11 0.33 0.35 0.25 0.15 0.07 0.03 7.4 0.28 0.11 -0.25 -0.24 0.05 0.30 0.35 0.27 0.16 0.08 0.04 7.6 0.25 0.16 -0.21 -0.27 0.00 0.27 0.35 0.29 0.18 0.10 0.04 7.8 0.22 0.20 -0.16 -0.29 -0.06 0.23 0.35 0.31 0.20 0.11 0.05 8.0 0.17 0.23 -0.11 -0.29 -0.11 0.19 0.34 0.32 0.22 0.13 0.06
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