![4. Shown in the figure below is a sinusoid. r(t) sec -10 -2 This sinuosoid may be expressed as (a) From this plot, determine the values of A, ao, fo, td, and φ. Choose the value of the angle (phase) φ such that-π 〈 φ π. (b) Suppose that x(t) is sampled using a sample period of T, seconds to produce x[n] What is the sample rate fs? Indicate the units. If linear interpolation is used (this is what MATLAB does), can the samples be used to create a nice image of the CT sinusoid x(t)? Is the sampling rate high enough to reconstruct x(t) from x[n]? (Look up the Nyquist Sampling Theorem if you dont remember!)](http://img.homeworklib.com/questions/8e70b7e0-753b-11eb-a4eb-2b1a15a98756.png?x-oss-process=image/resize,w_560)
Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Add Answer to:
4. Shown in the figure below is a sinusoid. r(t) sec -10 -2 This sinuosoid may...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume that the sampling rates of the C-to-D and D-to-C converters are equal, and the input to the Ideal C-to-D converter is x(t) = 2 cos (2m(50)t +π) + cos(2π(150e) a. (5) If the output of the Ideal D-to-C converter is equal to the input x(t) i.e. ()2 cos (2m(50)t +7)+cos(2(150)) b. (5) If the sampling rate is fs = 250 samples/sec, determine the discrete-time...
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
Help solve in MATLAB 1. Let m(t) be the 2-bit modulating signal and s(t) cos(at) be...
Help solve in MATLAB
1. Let m(t) be the 2-bit modulating signal and s(t) cos(at) be carrier signal as shown in Figure 3. Plot these two signals in 2 separated figures using MATLAB with a, = 600Or rad/s and t = 0:7, :0.01 sec where fs = 10MHz be the sampling rate to satisfy Nyquist theorem. Use the zoom in tool of MATLAB to clearly look at the signal if necessary. You can use the MATLAB function below to produce...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples would be stored after 60 ms? (b) If x(t) = 4 cos(2π250t + 2n/7), what is the period of this signal? (c) For CDs, the sampling rate is 44,100 samples per second. How often (in seconds) must the ADC sample the signal?
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
Generate plots for the function in Example 8.1 with sample intervals of 0.5 sec, 1 sec, and 10 se...
Generate plots for the function in Example 8.1 with sample intervals of 0.5 sec, 1 sec, and 10 sec. Explain the results in light of the sampling theorem. Example 8.1 Sampling Theorem and Aliasing Consider the function FO sin( at)+sin br) Using a trigonometric identity for the sum of two sinusoidal functions, we can rewrite FO as the following product: a+ b If frequencies a and b are close in value, the bracketed term has a very low frequency in...
8-4) Lathi & Ding, Prob. P.5.1-10 (a) A first-order-hold circuit can also be used to reconstruct ...
.
8-4) Lathi & Ding, Prob. P.5.1-10 (a) A first-order-hold circuit can also be used to reconstruct a signal g) from its samples. The impulse response of this circuit is h(f) = Δ(2,-2) where Ts is the sampling interval. Consider a typical sampled signal R() and show that this circuit performs the linear interpolation. In other words, the filter output consists of sample tops connected by straight-line segments. Follow the procedure discussed in Sec. 5.1.2 (Fig. 5.6) for a typical...
8-4) Lathi & Ding, Prob. P.5.1-10 (a) A first-order-hold circuit can also be used to reconstruct...
8-4) Lathi & Ding, Prob. P.5.1-10 (a) A first-order-hold circuit can also be used to reconstruct a signal g) from its samples. The impulse response of this circuit is h(f) = Δ(2,-2) where Ts is the sampling interval. Consider a typical sampled signal R() and show that this circuit performs the linear interpolation. In other words, the filter output consists of sample tops connected by straight-line segments. Follow the procedure discussed in Sec. 5.1.2 (Fig. 5.6) for a typical signal...
3) Given three sinusoids with the following amplitude and phases (t)-Scos(2x (1200+0.25x) a. Crea...
3) Given three sinusoids with the following amplitude and phases (t)-Scos(2x (1200+0.25x) a. Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is, х(n)=x1(nHx:(n)+xy(n), using a sampling rate of 8000 Hz, and plot the sum x(n) over a range of time that will exhibit approximately 0.1 second. (10 pts) b. Use the MATLAB function fO to compute DFT coefficients, and plot and examine the spectrum of the signal x(n).(10 pts Write a MATLAB...
17. The following system is used to sample and reconstruct the signal x(t)-1-cos(15π) with a sampling interval T-0.1 sec. p(t) xIn] y(t) x(t) -0.5 0.5 1B 1B X.(o) X (o) [2 Marks each] Given that the...
17. The following system is used to sample and reconstruct the signal x(t)-1-cos(15π) with a sampling interval T-0.1 sec. p(t) xIn] y(t) x(t) -0.5 0.5 1B 1B X.(o) X (o) [2 Marks each] Given that the input signal, x(t) -1+cos(15rt) Sketch |X(a) The sampling interval is set to T= 0, 1 ec. SketchXs(o) where x(t) = p(t)x(t). Determine the expression for y(t). Is y(t) a reconstruction of x()? Does aliasing occur? explain
17. The following system is used to sample...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume that the sampling rates of the C-to-D and D-to-C converters are equal, and the input to the Ideal C-to-D converter is x(t) = 2 cos (2m(50)t +π) + cos(2π(150e) a. (5) If the output of the Ideal D-to-C converter is equal to the input x(t) i.e. ()2 cos (2m(50)t +7)+cos(2(150)) b. (5) If the sampling rate is fs = 250 samples/sec, determine the discrete-time...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
Help solve in MATLAB
1. Let m(t) be the 2-bit modulating signal and s(t) cos(at) be carrier signal as shown in Figure 3. Plot these two signals in 2 separated figures using MATLAB with a, = 600Or rad/s and t = 0:7, :0.01 sec where fs = 10MHz be the sampling rate to satisfy Nyquist theorem. Use the zoom in tool of MATLAB to clearly look at the signal if necessary. You can use the MATLAB function below to produce...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples would be stored after 60 ms? (b) If x(t) = 4 cos(2π250t + 2n/7), what is the period of this signal? (c) For CDs, the sampling rate is 44,100 samples per second. How often (in seconds) must the ADC sample the signal?
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
Generate plots for the function in Example 8.1 with sample intervals of 0.5 sec, 1 sec, and 10 sec. Explain the results in light of the sampling theorem. Example 8.1 Sampling Theorem and Aliasing Consider the function FO sin( at)+sin br) Using a trigonometric identity for the sum of two sinusoidal functions, we can rewrite FO as the following product: a+ b If frequencies a and b are close in value, the bracketed term has a very low frequency in...
.
8-4) Lathi & Ding, Prob. P.5.1-10 (a) A first-order-hold circuit can also be used to reconstruct a signal g) from its samples. The impulse response of this circuit is h(f) = Δ(2,-2) where Ts is the sampling interval. Consider a typical sampled signal R() and show that this circuit performs the linear interpolation. In other words, the filter output consists of sample tops connected by straight-line segments. Follow the procedure discussed in Sec. 5.1.2 (Fig. 5.6) for a typical...
8-4) Lathi & Ding, Prob. P.5.1-10 (a) A first-order-hold circuit can also be used to reconstruct a signal g) from its samples. The impulse response of this circuit is h(f) = Δ(2,-2) where Ts is the sampling interval. Consider a typical sampled signal R() and show that this circuit performs the linear interpolation. In other words, the filter output consists of sample tops connected by straight-line segments. Follow the procedure discussed in Sec. 5.1.2 (Fig. 5.6) for a typical signal...
3) Given three sinusoids with the following amplitude and phases (t)-Scos(2x (1200+0.25x) a. Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is, х(n)=x1(nHx:(n)+xy(n), using a sampling rate of 8000 Hz, and plot the sum x(n) over a range of time that will exhibit approximately 0.1 second. (10 pts) b. Use the MATLAB function fO to compute DFT coefficients, and plot and examine the spectrum of the signal x(n).(10 pts Write a MATLAB...
17. The following system is used to sample and reconstruct the signal x(t)-1-cos(15π) with a sampling interval T-0.1 sec. p(t) xIn] y(t) x(t) -0.5 0.5 1B 1B X.(o) X (o) [2 Marks each] Given that the input signal, x(t) -1+cos(15rt) Sketch |X(a) The sampling interval is set to T= 0, 1 ec. SketchXs(o) where x(t) = p(t)x(t). Determine the expression for y(t). Is y(t) a reconstruction of x()? Does aliasing occur? explain
17. The following system is used to sample...
Most questions answered within 3 hours.
-
(63
#14)
which of the following statments best describes how chamging
the concentration of the substances...
asked 2 hours ago -
In the following reaction, which element is undergoing
oxidation: Na2SO3 + N2O --> N2 + Na2SO4...
asked 2 hours ago -
Which of the following pairs of ions have the same electron
configuration?
I: Br− and Se2−...
asked 5 hours ago -
The Foremost Composite Materials Company is planning a two-day
sales conference for October 19-20. The conference...
asked 5 hours ago -
3) Illustrate the observed pattern of relatedness of organisms
versus adaptations to specific conditions. This means...
asked 6 hours ago -
In winter a lake has a 0.35 m thick ice layer over 1.10 m of
water....
asked 7 hours ago -
Assuming the following has been encrypted with a Vigenere cipher
below, use the method(s) and assumptions...
asked 7 hours ago -
How would I use switch statements to write a program that will
take an input of...
asked 7 hours ago -
Imagine a reaction in which methane gas combusts at a constant
pressure of 1 atm and...
asked 7 hours ago -
Two parallel wires (each 12 m in length) are separated by a
distance of 0.065 m...
asked 7 hours ago -
Suppose there were three masses at the corner of uniform
equilateral triangle. The masses are m1...
asked 7 hours ago -
Situation: A building that is 618 m above the ground floor. How
many times would a...
asked 7 hours ago