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The carrier c(t)=5 cos (27 fc t) is frequency modulated (FM) by the signal m(t) = 5cos(2л10¹t), where fe =100MHz and the frequency deviation is given as 4f=50 KHz. 1) What is the type of this FM signal, and why? 2) A band pass filter with center frequency at fc is used to reduce the total transmitted power of this FM signal to reach at least 80% of the unmodulated signal. Determine the amplitude and frequency of all components that pass through this filter. 3) Draw the spectrum of these selected components. 4) Use Carson's rule to determine the approximate bandwidth of this FM signal. P J(1) J.(2) J.(3) J.(5) J,(6) J.(8) 0 1 2 3 4 5 6 7 8 9 10 0.7652 0.2239 0.4401 0.5767 0.1149 0.3528 0.0196 0.1289 0.0340 -0.2601 -0.3971 0.3391 -0.0660 0.3641 0.4861 0.3091 0.4302 0.1320 0.2811 0.0430 0.1321 0.0114 0.0491 0.0152 J.(10) 0.1717 -0.0903 -0.2459 0.0435 -0.1776 0.1506 0.3001 -0.3276 -0.2767 -0.0047 0.2346 0.0466 <-0.2429 <-0.3014 <-0.1130 0.3648 0.1148 -0.1676 -0.2911 -0.1809 0.3567 0.2546 0.0584 -0.1054 -0.2655 -0.2196 0.3621 0.1858 -0.0550 -0.2341 0.2458 0.3376 <<-0.0145 0.1296 0.3206 0.0565 0.2235 0.0212 0.1263 0.0608 0.3912 0.2611 0.1310 0.0534 0.0184 0.1578 0.3479 0.3392 0.2336 0.1280 0.0589 0.0235 0.2453 0.1448 0.2043 0.3275 0.3051 0.2149 0.1247 0.2167 0.3179 0.2919 0.2075

The carrier c(t)=5 cos (27 fc t) is frequency modulated (FM) by the signal m(t) = 5cos(2л10¹t), where fe =100MHz and the frequency deviation is given as 4f=50 KHz. 1) What is the type of this FM signal, and why? 2) A band pass filter with center frequency at fc is used to reduce the total transmitted power of this FM signal to reach at least 80% of the unmodulated signal. Determine the amplitude and frequency of all components that pass through this filter. 3) Draw the spectrum of these selected components. 4) Use Carson's rule to determine the approximate bandwidth of this FM signal. P J(1) J.(2) J.(3) J.(5) J,(6) J.(8) 0 1 2 3 4 5 6 7 8 9 10 0.7652 0.2239 0.4401 0.5767 0.1149 0.3528 0.0196 0.1289 0.0340 -0.2601 -0.3971 0.3391 -0.0660 0.3641 0.4861 0.3091 0.4302 0.1320 0.2811 0.0430 0.1321 0.0114 0.0491 0.0152 J.(10) 0.1717 -0.0903 -0.2459 0.0435 -0.1776 0.1506 0.3001 -0.3276 -0.2767 -0.0047 0.2346 0.0466 <-0.2429 <-0.3014 <-0.1130 0.3648 0.1148 -0.1676 -0.2911 -0.1809 0.3567 0.2546 0.0584 -0.1054 -0.2655 -0.2196 0.3621 0.1858 -0.0550 -0.2341 0.2458 0.3376 <<-0.0145 0.1296 0.3206 0.0565 0.2235 0.0212 0.1263 0.0608 0.3912 0.2611 0.1310 0.0534 0.0184 0.1578 0.3479 0.3392 0.2336 0.1280 0.0589 0.0235 0.2453 0.1448 0.2043 0.3275 0.3051 0.2149 0.1247 0.2167 0.3179 0.2919 0.2075

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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The carrier c(t)=5 cos (27 fc t) is frequency modulated (FM) by the signal m(t) = 5cos(2л10¹t), where fe =100MHz and the frequency deviation is given as 4f=50 KHz. 1) What is the type of this FM signal, and why? 2) A band pass filter with center frequency at fc is used to reduce the total transmitted power of this FM signal to reach at least 80% of the unmodulated signal. Determine the amplitude and frequency of all components that pass through this filter. 3) Draw the spectrum of these selected components. 4) Use Carson's rule to determine the approximate bandwidth of this FM signal. " J(1) J.(2) J.(3) J,(4) J,(7) J.(8) 0 1 2 3 4 5 6 7 8 9 10 J.(10) -0.2459 0.4401 0.5767 0.0435 0.7652 0.2239 -0.2601 -0.3971 -0.1776 0.1506 0.3001 0.1717 -0.0903 -0.3276 -0.2767 -0.0047 0.2346 0.0466 <-0.2429 <-0.3014 <-0.1130 0.3648 0.1148 -0.1676 0.3567 0.1578 0.3479 0.3391 -0.0660 0.3641 0.4861 0.2546 0.2453 0.1448 -0.2911 -0.1809 -0.1054 -0.2655 0.3091 0.4302 0.0584 0.1320 0.2811 -0.2196 0.0430 0.1321 0.3621 0.1858 <<-0.0550 -0.2341 0.0114 0.0491 0.3392 <<-0.0145 0.0152 0.2336 0.1280 0.0589 0.0235 0.1149 0.3528 0.0196 0.1289 0.0340 0.3912 0.2611 0.1310 0.0534 0.0184 0.2458 0.1296 0.0565 0.0212 0.3376 0.3206 0.2235 0.1263 0.0608 0.2043 0.3275 0.3051 0.2149 0.1247 0.2167 0.3179 0.2919 0.2075
Transcribed Image Text:The carrier c(t)=5 cos (27 fc t) is frequency modulated (FM) by the signal m(t) = 5cos(2л10¹t), where fe =100MHz and the frequency deviation is given as 4f=50 KHz. 1) What is the type of this FM signal, and why? 2) A band pass filter with center frequency at fc is used to reduce the total transmitted power of this FM signal to reach at least 80% of the unmodulated signal. Determine the amplitude and frequency of all components that pass through this filter. 3) Draw the spectrum of these selected components. 4) Use Carson's rule to determine the approximate bandwidth of this FM signal. " J(1) J.(2) J.(3) J,(4) J,(7) J.(8) 0 1 2 3 4 5 6 7 8 9 10 J.(10) -0.2459 0.4401 0.5767 0.0435 0.7652 0.2239 -0.2601 -0.3971 -0.1776 0.1506 0.3001 0.1717 -0.0903 -0.3276 -0.2767 -0.0047 0.2346 0.0466 <-0.2429 <-0.3014 <-0.1130 0.3648 0.1148 -0.1676 0.3567 0.1578 0.3479 0.3391 -0.0660 0.3641 0.4861 0.2546 0.2453 0.1448 -0.2911 -0.1809 -0.1054 -0.2655 0.3091 0.4302 0.0584 0.1320 0.2811 -0.2196 0.0430 0.1321 0.3621 0.1858 <<-0.0550 -0.2341 0.0114 0.0491 0.3392 <<-0.0145 0.0152 0.2336 0.1280 0.0589 0.0235 0.1149 0.3528 0.0196 0.1289 0.0340 0.3912 0.2611 0.1310 0.0534 0.0184 0.2458 0.1296 0.0565 0.0212 0.3376 0.3206 0.2235 0.1263 0.0608 0.2043 0.3275 0.3051 0.2149 0.1247 0.2167 0.3179 0.2919 0.2075
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