An information signal m(t) has highest frequency of W Hz and is sampled using a periodic...
An information signal m(t) has highest frequency of W Hz and is sampled using a periodic pulse train p(t) made up of a rectangular pulse of width 1/8W seconds repeating at the Nyquist rate.
a) Expand p(t) using a Fourier series expansion and use it to write the form for the sampled information signal mp(t). Put your result in the simplest possible terms. You may assume that p(t) is symmetric about t = 0.
b) How would you recover m(t) from mp(t)? Show this explicitly using the result of part a
Homework Answers
Add Answer to:
An information signal m(t) has highest frequency of W Hz and is
sampled using a periodic...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be ab...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
Problem One: a) A signal 10 whose amplitude spectral density F(m) is shown below is sampled...
Problem One: a) A signal 10 whose amplitude spectral density F(m) is shown below is sampled using a periodic rectangular pulse waveforms of width 15 msec, and of period equal to the Nyquist interval. Sketch the magnitude spectral density of the sampled signal from 0 to 100 it rad. labeling all the important points. F(0) -24 247 16 marks]
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
Assume that an analog audio voice-frequency (VF) telephone signal m(t) occupies a band from 300 Hz...
Assume that an analog audio voice-frequency (VF) telephone signal m(t) occupies a band from 300 Hz to 3000 Hz. The signal is to be converted to a PCM signal for transmission over a digital telephone system. The signal is sampled at a rate 33.3% higher than the Nyquist rate. The maximum acceptable quantizatiorn error is 2% of the peak amplitude of m(t). The quantized samples are binary coded. Find the minimum bandwidth B of a noiseless channel required to transmit...
Problem 2: A sinusoidal signal w(t) = 10cos(200nt) is sampled using a periodic impulse function s(t)...
Problem 2: A sinusoidal signal w(t) = 10cos(200nt) is sampled using a periodic impulse function s(t) = Ek=-08(t - kt), where the sampling period Tg = 1ms. a) Sketch the signal w(t) and its corresponding impulse-sampled function ws(t) = w(t)s(t) b) What is the sampling frequency fs of this signal? c) Write an expression for the spectrum W (f) and the spectrum of the sampled signal Ws(f). Sketch W, (f) and specify the coordinates of its frequency components.
Q1. A single-tone FM signal which can be expressed as, s(t) = 4, cos[2oft+ß sin(21f „t)]...
Q1. A single-tone FM signal which can be expressed as, s(t) = 4, cos[2oft+ß sin(21f „t)] is applied to a square-law device with output voltage v2 related to input voltage vi by vz(t)= av (t) where a is a constant. a. Determine analytic expression of the output signal. b. Explain how such a device can be used to obtain an FM signal with a greater frequency deviation (Af) than that available at the input. Q2. The spectrum of a message...
Help!!! A information wave m(t) is transmitted using a 4-bit binary PCM system. A uniform quantizer...
Help!!!
A information wave m(t) is transmitted using a 4-bit binary PCM system. A uniform quantizer is used to convert the sampled signal into a PCM bit stream. Assume a sampling rate of 2 times the Nyquist rate m(t) .5 0.5 2.5 Time (s) Figure 1: Intelligence signal m(). Determine 1. Determine the quantized sample value and its respective PCM sequence for the following samples: 2Ts, 3Ts and 4Ts 2. What bandwidth would be required to transmit this PCM signal?...
2. [20 points] The carrier c(t-Acce(2106 t) is frequency modulated by the sinusoid signal m(t) 2cos...
2. [20 points] The carrier c(t-Acce(2106 t) is frequency modulated by the sinusoid signal m(t) 2cos (2000mt). The deviation constant is kr 3000 Hz/V Determine the bandwidth of the modulated signal using Carson's rule a. Sketch the magnitude of the spectrum of the modulated signal (plot only those frequency components that lie within the bandwidth derived in part a) with detailed information such as the areas of delta function determined by the Bessel function, frequency separation between each spectrum (note...
Please do Part 4 and Show all work! 1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure b...
Please do Part 4 and Show all work!
1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure by using frequency discriminator. Assume no attenuation of the signal due to propagation loss (in other words assume amplifiers properly restored the amplitude of the transmitted signal at the receiver) [10 points] Find the Fourier Series (trigonometric Fourier Series) of the message signal m (t) where To...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
Problem One: a) A signal 10 whose amplitude spectral density F(m) is shown below is sampled using a periodic rectangular pulse waveforms of width 15 msec, and of period equal to the Nyquist interval. Sketch the magnitude spectral density of the sampled signal from 0 to 100 it rad. labeling all the important points. F(0) -24 247 16 marks]
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
Assume that an analog audio voice-frequency (VF) telephone signal m(t) occupies a band from 300 Hz to 3000 Hz. The signal is to be converted to a PCM signal for transmission over a digital telephone system. The signal is sampled at a rate 33.3% higher than the Nyquist rate. The maximum acceptable quantizatiorn error is 2% of the peak amplitude of m(t). The quantized samples are binary coded. Find the minimum bandwidth B of a noiseless channel required to transmit...
Problem 2: A sinusoidal signal w(t) = 10cos(200nt) is sampled using a periodic impulse function s(t) = Ek=-08(t - kt), where the sampling period Tg = 1ms. a) Sketch the signal w(t) and its corresponding impulse-sampled function ws(t) = w(t)s(t) b) What is the sampling frequency fs of this signal? c) Write an expression for the spectrum W (f) and the spectrum of the sampled signal Ws(f). Sketch W, (f) and specify the coordinates of its frequency components.
Q1. A single-tone FM signal which can be expressed as, s(t) = 4, cos[2oft+ß sin(21f „t)] is applied to a square-law device with output voltage v2 related to input voltage vi by vz(t)= av (t) where a is a constant. a. Determine analytic expression of the output signal. b. Explain how such a device can be used to obtain an FM signal with a greater frequency deviation (Af) than that available at the input. Q2. The spectrum of a message...
Help!!!
A information wave m(t) is transmitted using a 4-bit binary PCM system. A uniform quantizer is used to convert the sampled signal into a PCM bit stream. Assume a sampling rate of 2 times the Nyquist rate m(t) .5 0.5 2.5 Time (s) Figure 1: Intelligence signal m(). Determine 1. Determine the quantized sample value and its respective PCM sequence for the following samples: 2Ts, 3Ts and 4Ts 2. What bandwidth would be required to transmit this PCM signal?...
2. [20 points] The carrier c(t-Acce(2106 t) is frequency modulated by the sinusoid signal m(t) 2cos (2000mt). The deviation constant is kr 3000 Hz/V Determine the bandwidth of the modulated signal using Carson's rule a. Sketch the magnitude of the spectrum of the modulated signal (plot only those frequency components that lie within the bandwidth derived in part a) with detailed information such as the areas of delta function determined by the Bessel function, frequency separation between each spectrum (note...
Please do Part 4 and Show all work!
1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure by using frequency discriminator. Assume no attenuation of the signal due to propagation loss (in other words assume amplifiers properly restored the amplitude of the transmitted signal at the receiver) [10 points] Find the Fourier Series (trigonometric Fourier Series) of the message signal m (t) where To...
Most questions answered within 3 hours.
-
A study indicates that 90% of American teenagers have tattoos.
You randomly sample 10 teenagers. Find...
asked 1 minute from now -
The Kaof HCN is 4.9 x 10-10
You combine the following solutions:
i.
250 mL of...
asked 7 minutes ago -
Consider the following description:
"University consists of a number of schools. Each school offers
several distinct...
asked 28 minutes ago -
Part A)
What mass of silver chloride can be produced from 1.12 L of a
0.296...
asked 23 minutes ago -
Evidence indicates that inadequate rest and sleep may shorten
your life span by approximately
Group of...
asked 24 minutes ago -
A camera is equipped with a lens with a focal length of 22 cm.
When an...
asked 29 minutes ago -
Two vertical, long, straight wires each carry a current of 4.89
A in the upward direction...
asked 21 minutes ago -
5. Construct the full model with an LRAS, a SRAS, and an AD
curve. Discuss the...
asked 39 minutes ago -
Write a C++ program to manage a Point of Sale System for a
Supermarket. The main...
asked 37 minutes ago -
Lean was started as:
An offshoot of the quality movement after WWII
As Toyota wanted to...
asked 39 minutes ago -
Which of the following species can be regarded as electron
deficient? Justify your answer in terms...
asked 41 minutes ago -
At t=0 a grinding wheel has an angular velocity of 24.0 rad/s .
It has a...
asked 45 minutes ago