andxc(t)2) The baseband information signal x(t) whose frequency spectrumis shown in Fig. 2 will be transmitted by using wideband FMmodulation obtained by indirect FM (Armstrong method)technique (max |x(t) = 1) shown in Fig. 3. The narrowband FMsignal is given by x1 (t) = Ac cos(2n10t + 2n30 fx(7)dt) whereit is the input to the wideband FM modulator. The wideband FMsignal is given by0%(z(t)cos(2nfet+)S\ (XS)$1(Sah(t)H(f)Xcz (t) = Accos(2n5 x 10°t + 2n6 × 10³ fx(t)dt).a) Find the modulation index (B) of narrowband FM (xc1 (t)) and wideband FM signal (xc2(t)).Justify the types of xc1 (t) and xcz (t) by considering the corresponding B.b) Determine fo, m,n2 and properties of the BPF.c) Find the bandwidth of xc1 (t) and xcz(t).d) Design a receiver that reconstructs x(t) and draw the corresponding block diagram.e) Suppose that the signal x2 (t) sent from the transmitter is received as(17r(t) = A(t) cos(2π2 x 10°t + 276 x 10³ fx(T)dt) at the receiver due to a distortion in the transmission/medium. What can be done to eliminate this distortion effect?Fig. 1% mlaE 80 AEy(t)x(t)NarrowbandFM Modulatorcos(2nfot)101gol 01 = no¶Xc₁(t) FrequencyMultiplier1n₁X()FrequencyMultiplier2n₂0Fig. 23f (kHz)BPF?Xcz(t)nia(z)onia (\)(\)(1)(\) (11)Fig. 3+x)(-x)200-(x)

2) The baseband information signal x(t) whose frequency spectrum is shown in Fig. 2 will be transmitted by using wideband FM modulation obtained by indirect FM (Armstrong method) technique (max |x(t)] = 1) shown in Fig. 3. The narrowband FM signal is given by xe (t) = Ac cos(2n104t + 2n30 fx(t)dt) where it is the input to the wideband FM modulator. The wideband FM signal is given by 2317 -3 X() 0 Fig. 2 3 Xcz (t) = Accos(2π5 x 10°t + 2n6 × 10³ f x(1)dt). a) Find the modulation index (B) of narrowband FM (xc1 (t)) and wideband FM signal (xc2(t)). Justify the types of xc1(t) and xc2 (t) by considering the corresponding ß. f (kHz) b) Determine fo, ni,n2 and properties of the BPF. c) Find the bandwidth of xc1 (t) and xcz(t). d) Design a receiver that reconstructs x(t) and draw the corresponding block diagram. e) Suppose that the signal xc2 (t) sent from the transmitter is received as r(t) = A(t) cos(2π2 x 10°t + 2π6 x 10³ fx(r)dr) at the receiver due to a distortion in the transmission medium. What can be done to eliminate this distortion effect?

2) The baseband information signal x(t) whose frequency spectrum is shown in Fig. 2 will be transmitted by using wideband FM modulation obtained by indirect FM (Armstrong method) technique (max |x(t)] = 1) shown in Fig. 3. The narrowband FM signal is given by xe (t) = Ac cos(2n104t + 2n30 fx(t)dt) where it is the input to the wideband FM modulator. The wideband FM signal is given by 2317 -3 X() 0 Fig. 2 3 Xcz (t) = Accos(2π5 x 10°t + 2n6 × 10³ f x(1)dt). a) Find the modulation index (B) of narrowband FM (xc1 (t)) and wideband FM signal (xc2(t)). Justify the types of xc1(t) and xc2 (t) by considering the corresponding ß. f (kHz) b) Determine fo, ni,n2 and properties of the BPF. c) Find the bandwidth of xc1 (t) and xcz(t). d) Design a receiver that reconstructs x(t) and draw the corresponding block diagram. e) Suppose that the signal xc2 (t) sent from the transmitter is received as r(t) = A(t) cos(2π2 x 10°t + 2π6 x 10³ fx(r)dr) at the receiver due to a distortion in the transmission medium. What can be done to eliminate this distortion effect?

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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