3.7 Consider a PAM wave transmitted through a channel with white Gaussian noise and minimum bandwidth BT 1/2T, where T, is the sampling period. The noise is of zero mean and power spectral density No/2. The PAM signal uses a standard pulse g(t) with its Fourier transform defined by 1 Is|< Br Ifl > Br G(f) 2BT By considering a full-load sinusoidal modulating wave, show that PAM and baseband- signal transmission have equal signal-to-noise ratios for the same average transmited power. Jtiplexed The

3.7 Consider a PAM wave transmitted through a channel with white Gaussian noise and minimum bandwidth BT 1/2T, where T, is the sampling period. The noise is of zero mean and power spectral density No/2. The PAM signal uses a standard pulse g(t) with its Fourier transform defined by 1 Is|< Br Ifl > Br G(f) 2BT By considering a full-load sinusoidal modulating wave, show that PAM and baseband- signal transmission have equal signal-to-noise ratios for the same average transmited power. Jtiplexed The

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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4. short answers a. What is the effective antenna area of an antenna at 2500 MHz, if the gain is 13 dBi. b. For a WCDMA handset with 7 dB noise figure and 5 MHz effective noise bandwidth, calculate the noise floor in dBm. c. An NBA basketball player is close to 2 meters tall, and an “Umpa-Lumpa” from the movie “Willie Wonka” is 0.5 meters tall. Assuming 2-ray propagation model, what is the ratio of the signal strength received by the two people? d. Consider a 12-km microwave link with 15 meter towers at both ends, calculate the minimum frequency in GHz, such the first Fresnel zone does not intersect the ground? Assume that the ground is flat between the towers.
A given FM transmitter is modulated with a single sinusoid, the output for no load power is 100W into50Ω resistive load. Then, the frequency of the modulating signal is carefully adjusted from zero untilthe modulated carrier encountered its zero amplitude as observed in spectrum analyzer. Under theseconditions, determine the: (Use the provided Bessel table)a. the modulation index and the number of significant sideband. b. total power on its significant sidebands. c. relative total power of the carrier and each of sideband. Ans. (a) Mf =2.4, N=5; (b) 99.86 W; b Pc=0W, P1=27.04W, P2=18.49W, P3=4W,
a. Show that 2-D discrete Fourier Transform of a M × N digital image is periodic.That is, you must prove that F(u + M, v + N) = F(u, v). b. Suggest two methods to bring the frequency origin of a discrete Fourier Transform of an image to the center ofthe 2-D array of frequency plane.
Obtaining broadband FM signal from narrowband frequency modulated (FM) signal is shown below. The narrowband FM signal has a maximum frequency deviation of 100 Hz. The frequency of the local oscillator is f0=100 kHz. Since the sign at point A is Ac(cos 2πf0t+θ(t)), express the signs at points B and C. Ac is a constant and θ(t) is a function of m(t).
A given FM transmitter is modulated with a single sinusoid, the output for no load power is 100W into 50Ω resistive load. Then, the frequency of the modulating signal is carefully adjusted from zero until the modulated carrier encountered its zero amplitude as observed in spectrum analyzer. Under these conditions, determine the: (Use the provided Bessel table) a. the modulation index and the number of significant sideband b. total power on its significant sidebands. c. relative total power of the carrier and each of sideband. Ans. (a) Mf =2.4, N=5; (b) 99.86 W; b Pc=0W, P1=27.04W, P2=18.49W, P3=4W, P4=0.36W, P5=0.04W
a) Make a plot of the normalized fft magnitude as a function of frequency (real frequency in Hz). Only display the frequency range between -1kHz and 1kHz. b) On the same figure as part (c), superimpose the magnitude of the Fourier series coefficients, |??|, as a function of frequency as a stem plot. Again, only display the frequency range between -1kHz and 1kHz. How well do they compare? Hint*: Consider making a frequency vector containing only the Fourier harmonic frequencie
For the message signal spectrum Fm(f) and the system given below, answer the following. ( fc >> B ) a) Find the Fourier transform of f2(t). ( F2(f) = ? )b) Sketch the amplitude spectrum of f2(t), ( |F2(f)| ).c) Can this system be used as a modulator for DSB-SC AM (Double Side-Band Suppressed Carrier Amplitude Modulation). If so, explain how it can be used? What is the smallest value for fc for this purpose?
Two different (i.e. physically independent) band-limited analog message signals both having 5 kHz baseband bandwidth are given. A band-pass communication channel having a 10 kHz bandwidth (center frequency is 500 kHz) is available. Is it possible to transmit the given analog signals concurrently through this channel? If so, explain how it can be accomplished by deriving the related equations and also providing the spectrums. Also provide the transmitter and receiver structures with sufficient details.
Consider the periodic signal ?(?) given by the expression x(t) = (2 + 2j)[e^(−j3t)] – 3j[e^(−j2t)] + 5 +3j(e^(j2t) + (2 – 2j)e^(j3t) . a) What is the fundamental frequency of x(t)? b) Find and plot the magnitude and phase of the Fourier series coefficients as a function of frequency. c) Is x(t) a real signal? Why? d) Compute the total power of x(t) using Parseval’s relation.
An FM singla has an intelligence frequency of 5 kHz and a maximum deviation of 20 kHz. How many sidebands are produced with significant amplitudes? Use the Bessel Table.
Consider the following discrete time signal periodic with N?[?]=1+sin(2??)?+3cos(2??)?+cos(4???+?2)Find the Fourier series representation of ?[?], i.e. find the Fourier series coefficients ?0, ?−1, ?1, ?−2 and ?2.
-MCQ- S(t)=100[1+1/3. Cos2000πt+2/3.Sin8000πt].Coswct modulated signal will be transmitted through the transmission medium whose spectrum is given below. What should be the frequency range that the carrier frequency can receive so that the signal can be received from the receiver without distortion? a) 204 kHz < fc < 206 kHz b) 192 kHz < fc < 202 kHz c)199 kHz < fc < 209 kHz d) 195 kHz < fc < 205 kHz