2) (20pts) m(t) and an unmodulated carrier, c(t), are given belowm(t) = 2.2 cos(2л400t) – 7 cos(2л700t) +5 cos(2500) voltsc(t) = 6 cos(2л2000) voltsSketch the amplitude spectrum for a Double Sideband Suppressed Carrier modulatedwaveform. You must carefully label all axes and provide each frequency componentvalue (the x-value); each amplitude in Volts/Hz (the y-value). Include both negativeand positive frequencies.

Answered: Image /qna-images/answer/3409c0fe-1851-4990-9c00-85414bc5d13e.jpg

Answered: 2) (20pts) m(t) and an unmodulated…

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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A baseband signal has the spectrum sketched in the first image added below. The baseband signal modulates a 98 kHz carrier sine wave. Using frequency and amplitude labelling similar to that in Figure 2, sketch the spectrum of the modulated signal using a template added in image 2, for the following modulations: i-AM with the amplitude of the carrier wave being 20 V ii-DSBSC iii-SSB – the lower sideband iv-SSB – the upper sideband
Modify this circuit to extend the upper frequency limit to greater than 15 MHz. You may change the topology (i.e. configuration), but not the power supply voltage or collector bias current. The circuit voltage gain must be 46dB +/- 1 dB. Provide simulation results to show AC frequency responses of both circuits on the same plot, and annotate the 3dB upper frequency limit on both traces. Use typical ẞ values from the data sheet for the simulation. You may assume that 1% resistors are available in values below 100. The circuit must adhere to Standard Bias techniques. V4 Rser=0 SINE(0 0.02 10k) AC 1 VCC ୯ V2 +15V Cin1 1μ -VCC VCC R4 Rc1 147k 7k Q3 2N3904 R7 R6 9.09 20.5k Ce1 Re1 1.00k 10p Out
Q7. Figure Q7(a) shows the spectrum of a frequency modulated waveform with a sinusoidal modulation. 12 4.8 5.0 5.2 5.4 5.6 5.8 6.0 Frequency/MHz Figure Q7: (a) Spectrum of a frequency modulated waveform with a sinusoidal modulation. (a) Is this modulated waveform described as narrowband or as wideband? (b) What is the value of the carrier frequency? (c) What is the value of the modulation frequency? (d) Determine the value of the peak frequency deviation. Plots of Bessel functions of the first kind are provided below in Figure Q7(b) to assist you. (e) Estimate the fraction of the total signal power at the carrier frequency. (f) Detection of such a frequency modulated signal is usually accomplished with the use of a discriminator. Describe the function of a discriminator. (g) What is the equivalent AM modulation index obtained if this signal in Figure Q7(a) is demodulated with a high-pass RC filter discriminator? J„(x) 1.0 0.8 0.6 0.4 0.2 -0.2 -0.4 Figure Q7: (b) Bessel functions of the…
Starting from the general expression of the frequency modulated wave, find out the expression of narrow band FM (NBFM).
A spectrum analyzer with an input impedance of 200 is used to measure the power spectrum of an AM signal at the output of a preamplifier circuit. The AM signal has been modulated with a sine wave. The effective carrier power, Pc, is 750mw, and each sideband, PusB and PLSB, is 120mW. Compute the following: 1- The total effective power Pr. 2- The peak carrier voltage, Vc- 3- The modulation index, m, and the percent modulation index. 4- The modulation voltage,Vm. 5- The lower -and upper - sideband voltages, VLSB and VUB. 6- Sketch the waveform that you would you see with an oscilloscope if it were placed in parallel with the spectrum analyzer.
Question 4. Select the statement that best describes the PM wave.a. Carrier phase angle changes represent the PM modulated signal, however, unlike FM and AM modulatedcarriers, it is not always easy to see these phase changes in the plot.b. The FM signal accurately represents the message.c. Although PM and FM techniques are classified as angular modulation techniques, they cannot be usedinterchangeably (i.e., modulated with FM and demodulated with PM, and visa versa).d. All statements are correct.
H.W A carrier signal given by 10cos27×108t volt is FM modulatedby single tone message 4cos2nx103t voltif the modulation constantis 1000 HzlVolt a) Compute max. frequency deviation and deviation ratio. b) Write the equation of modulatedwave. c) Sketch the spectrum. d) Calculate sidebands carrierand total power.
Q2: A modulating signal is used to modulate a carrier signal(AM modulation). Let Pr , Pc, Psa. PusB, PLSB and u are the total power, carrier power, side band power, upper side band power, lower side band power and modulation index respectively. Prove the following: a. Pc = Pr () c. Pusp = Pasa =) P, 2+m2. b. PsB = Pr %3D 2+m2 2 (2+m2
Question 2 (a) Briefly explain the advantage of the following Amplitude Modulation (AM) type and state ONE (1) application for each AM type: i. Double Sideband Full Carrier (DSBFC) ii. Double Sideband Suppressed Carrier (DSBSC) iii. Single Sideband (SSB). (b) The AM waveform for the modulated signal is illustrated in Figure 1. i. Calculate the percentage of modulation index, m. ii. State the type of the modulated signal. Justify the answer. iii. Write the equation for the modulated signal. iv. Calculate the percentage of power efficiency. 3V -1IV Figure 1
a) A Double-Sideband Amplitude Modulator is shown in fig. 1 V DC cos(2n x 2 x 105t) m(t) v,(1) Σ Figure 1
6. For an FM modulator with modulation index m = 2, modulating signal v, (t) = Vm sin (2x2000t), and an unmodulated carrier v.(t)=8 sin(27800000r), a. Determine the number of sets of significant sidebands. 2 b. Determine their amplitudes. c. Draw the frequency spectrum showing the relative amplitudes of the side frequencies. It is given that Bessel coefficient corresponding to carrier component J(2) equals 0.22. Moreover, a side frequency is not considered significant unless it has amplitude equal to or greater than 1 % of the unmodulated carrier amplitude. Abbreviations: QPSK: Quaternary Phase Shift Keying BPSK: Binary Phase Shift Keying LED: Light Emitting Diode AM: Amplitude Modulation FM: Frequency Modulation
Q7. Figure Q7 shows a modulated waveform v(t) in millivolts as a function of time t in nanoseconds. 1.5 1.0 0.5 - 0.0 -0.5 -1.0 -1.5 100 200 300 400 500 t/ns Figure Q7: Modulated waveform (a) Describe the modulation scheme. (b) What are the values of the carrier frequency and the modulation frequency? (c) What is the value of the modulation index? (d) What is the transmission efficiency (ratio of modulated to total power) in this example? (e) Sketch the spectrum of this modulated waveform indicating the relative magnitudes of the various spectral components. (f) Demodulation of this type of waveform is usually performed with an envelope detector. Describe the function of an envelope detector and sketch an example circuit. (g) What requirements on the values of the components of your envelope detector circuit are there for the successful demodulation of the given waveform? (h) Keeping the same carrier wave, the modulating wave in this example is substituted with a square wave of 50%…

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