Q4) A message signal m(t) = 10cos (10nt) is applied to an FM modulator. The modulatoroutput has the following output.u(t)= 10cos 6000mt + 2nk,s 6000m²where k, = 6. If the output of the FM modulator is passed through an ideal bandpassfilter (BPF) centered at f= 3000 with a bandwidth of 42 Hz,m(t)a) Determine the number of frequency components at the output y(t) of the filter.b) Determine the total power of the frequency components at the output y(t) of the filter.c) What percentage of the transmitter power appears at the output of the BPF?You can use the Bessel Function values from the Table provided.FMModulatoru(t)[ m(t)dr]0BPFk12 Hz3000y(t) An(B)0.00▬▬▬▬▬▬▬▬Modulation index (B)LI▬▬▬▬▬▬▬T0,250.501.002.003,004,005,006,007,008.009,0010.0011,0012.0013.0014,0015,0001,000.930,940,770,22-0,26-0.180,150,300,17-0,09-0,250.170,050,210,17-0,010,000,120,240,440530,34-0,070,33-0,280,000,230.250,04-0.18-0.22-0,070,130,21lalalL720,000,010.030.110.350,490,360,05-0,24-0,30-0,110,140.250,14-0.03-0,22-0,150,04Table: Bessel Function of the First Kind, J. (B)30,000,000,000,020,130310,430,360,11-0,170.290180,060.230,200,00-0.18-0.1940,000,000,000,000,030,130.230.390,360.16-0,11-0,27-0.22-0,020.180,220.08-0.1250,000,000,000,000,010,040.130.260.360,350,19-0,06-0.23-0,24-0,070,130,220,13Index (n)60,000,000,000,000,000,010,050,130,250,340,340,20-0,01-0,20-0,24-0.120,030,2170,000,000,000,000,000,000,020,050.130,230,320,330,220,02-0,17-0,24-0,150,0310,000,000,000,000,000,000,000,020,060,130.220.310,320,220,05-0,14-0,23-0.170,000,000,000,000,000,000,000,010,020,060,130,210,290,310,230,07-0,11-0.22100,000,000,000,000,000,000,000,000,010,020,060,120,210.280,300.230,09-0,09110,000,000,000,000,000,000,000,000,000,010,030,060,120.200.270.290.240,10▬▬▬0,000,000,000,000,000,000,000,000,000,000,010,030,060,120,200,260,290,24

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Q4) A message signal m(t) = 10cos (10xt) is applied to an FM modulator. The modulator output has the following output. = 10cos 6000nt + 2nk, | 6000mt u(t)= [ m(t) dr] where k, = 6. If the output of the FM modulator is passed through an ideal bandpass filter (BPF) centered at f= 3000 with a bandwidth of 42 Hz, a) Determine the number of frequency components at the output y(t) of the filter. b) Determine the total power of the frequency components at the output y(t) of the filter. c) What percentage of the transmitter power appears at the output of the BPF? You can use the Bessel Function

Q4) A message signal m(t) = 10cos (10xt) is applied to an FM modulator. The modulator output has the following output. = 10cos 6000nt + 2nk, | 6000mt u(t)= [ m(t) dr] where k, = 6. If the output of the FM modulator is passed through an ideal bandpass filter (BPF) centered at f= 3000 with a bandwidth of 42 Hz, a) Determine the number of frequency components at the output y(t) of the filter. b) Determine the total power of the frequency components at the output y(t) of the filter. c) What percentage of the transmitter power appears at the output of the BPF? You can use the Bessel Function

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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