3. An analog signal is given by v(t) = 2Vsin(2 450t) + 3Vsin(2л250t + 300°) + 1.5Vsin(2+800t): a) Based on Nyquist rate, what should be the minimum sampling frequency to transmit the signal digitally? b) If the signal were mapped by a 4-bit quantizer with a resolution of 0.5V, what would be the minimum and maximum voltage found in the waveform? Assume a sinusoidal signal with Vmin = - Vmax c) What bit stream would be generated by the sampled signal of 3.5 V

3. An analog signal is given by v(t) = 2Vsin(2 450t) + 3Vsin(2л250t + 300°) + 1.5Vsin(2+800t): a) Based on Nyquist rate, what should be the minimum sampling frequency to transmit the signal digitally? b) If the signal were mapped by a 4-bit quantizer with a resolution of 0.5V, what would be the minimum and maximum voltage found in the waveform? Assume a sinusoidal signal with Vmin = - Vmax c) What bit stream would be generated by the sampled signal of 3.5 V

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...

See similar textbooks

Similar questions

6.1 A 1 kHz sine wave is sampled at frequency of 5 kHz.(a) What is the Nyquist frequency of the sampling system in this case? Showyour work.(b) What is the Nyquist rate of the signal? Show your work.(c) Is the signal properly sampled; that is, will there be aliases in the digitallyrecorded signal? Explain.(d) What if the original analog signal included both even and odd harmonics of itsprimary frequency; that is, 2, 3, 5 kHz, etc. What would be the highest harmonicthat will be faithfully represented in the discrete-time version of the analogsignal?(e) Following on with the previous step, what is the lowest harmonic that will bealiased and what would be resulting alias frequency?
2) An analog signal Xa(t) = sin(480pit)+3sin(720pit) is sampled 600 times per second . a) determine the nyquist sampling rate for Xa(t) and the folding frequency ? b)what are the frequencies in radians, in the resulting discrete time signals x(n) ? c)if x(n) is passed through an ideal D/A converter , what is the reconstructed signal Ya(t) ?
After an analog signal is sampled at 15 kHz, it is converted into digital form by quantitating at 64 levels. Since unipolar rectangular pulses with 50% occupancy-void ratio are used to transmit the signal from the baseband, what is the required bandwidth for transmission?
Evaluate the discrete-time convolution sums given below. Also, obtain the same result usingDTFT(i.e., DTFT and then inverse DTFT) for both cases. a)y[n]=u[n+3]∗u[n−3] b)x[n]=u[n]−u[n−2], h[n]=(0.5)nu[n] this is a signal systems question
Explain this statement- “While the Shannon capacity gives us the upper limit; the Nyquist formula tells us how many signal levels we need”.
A telephone signal with a cut-off frequency of 4 kHz is digitized into 8-bit PCM, sampled at Nyquist rate. Calculate the baseband transmission bandwidth and quantization S/N ratio.
What is the minimum sampling rate required to adequately capture all information present in a signal with a maximum frequency of 8000Hz? (hint: use Nyquist's Sampling Theorem)
Solve the following, if a television signal (video and audio) has a bandwidth of 4.5 MHz. This signal is sampled, quantized, and binary coded to obtain a PCM signal.I. Find the sampling rate if the signal is to be sampled at a rate of 20% above the Nyquist rateII. If the samples are quantized into 2048 levels, determine the number of binary pulses required to encode each sampleIll. Determine the binary pulse rate (bits per second) of the binary-coded signal, (or ) the minimum bandwidth required to transmit this signallV. Find the channel capacity using the Nyquist rule.
A voice signal (which extends from 300HZ to 3333HZ in the frequency domain) is digitized by 32 levels PCM. The sampling rate is set to be 120% over the Nyquist rate. Find: (1) the maximum SNqR, (2) the output data bit rate, (3) the required bandwidth of the channel
Q.1 (Fill in the Blank): ________________ is the conversion of discrete-time continues-valued signal into a discrete-time discrete-valued (digital) signal?
Q23) This multiple choice question from DIGITAL COMMUNICATIONS course.just write for me the final answer. A baseband system has a signal-to-noise ratio of 100 and a bandwidth efficiency of 1.25 .The average bit energy to noise spectral density of this system is equal to------- a)80 b)160 c)125 d)250
q16)This multiple choice question from DIGITAL COMMUNICATIONS course.just write for me the final answer. A baseband system has a signal-to-noise ratio of 23 dB and a bandwidth to bit rate ratio of 0.4 .The average bit energy to noise spectral density of this system is equal to------- a)none of the mentioned b)125 c)250 d)80