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![Sol a) Given solt) - acos (21 3oot) + Cos (21 400t) 85 - 2000 TT aufs - 2000 Is = 1000] : ts - Tomo .: x(nts) - 2605 (27. 200](http://img.homeworklib.com/questions/f6629c20-6a4d-11ec-872c-9b5429dbec1f.png?x-oss-process=image/resize,w_560)
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. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...
36. Sampling a low-pass signal. A signal x(t) = sin( 1,000.71) is sampled at the rate...
36. Sampling a low-pass signal. A signal x(t) = sin( 1,000.71) is sampled at the rate of F, and sent through a unity-gain ideal low-pass filter with the cutoff frequency at F,/2. Find and plot the Fourier transform of the reconstructed signal z(t) at filter's output if a. F=20 kHz b. Fs =800 Hz
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at...
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at a sampling rate fs = 180 Hz. Sketch the spectrum X (f) of the sampled signal x (t). Properly label x-axis and y-axis. 2) Now suppose we will use an ideal lowpass filter of gain 1/fs with a cutoff frequency 90 Hz for the sampled signal xs(t). What is the output of the filter x,(t)? 3) Now let's take samples of x(t) at sampling...
21. The signal x(t) = cos(1,8001t – 1/6) is sampled uniformly at the rate of 1...
21. The signal x(t) = cos(1,8001t – 1/6) is sampled uniformly at the rate of 1 kHz and passed through an ideal low-pass filter with a DC gain of 0.001 and a cutoff frequency of 500 Hz. Find the filter's output.
Question 2 A bandlimited signal is sampled at the Nyquist rate (fs). The signal can be...
Question 2 A bandlimited signal is sampled at the Nyquist rate (fs). The signal can be recovered by passing the samples through: a. a low-pass filter with cut-off frequency O b. an envelope detector c. a PLL Od. a high-pass filter with cut-off frequency
The signal x(t)=cos(2πt) is ideally sampled with a train of impulses
The signal x(t)=cos(2πt) is ideally sampled with a train of impulses. Sketch the spectrum Xδ(f) of the sampled signal, and find the reconstructed signal x(t), for the following values of sampling period Ts and ideal lowpass reconstruction filter bandwidth W': (a) Ts = 1/4, W' = 2 (b) Ts= 1, W' = 5/2(c) Ts = 2/3, W' = 2
1. Consider a signal of the form (t) = 2 cos(100nt) cos(1507) This signal is first...
1. Consider a signal of the form (t) = 2 cos(100nt) cos(1507) This signal is first sampled at the rate of 80 samples per second and the result was processed with an ideal reconstruction filter, again assuming that sampling rate was 80 samples per second. What is the signal that results after the reconstruction? Show enough details in your answer to demonstrate that you understand the theory of sampling and reconstruction from samples. Hint: Write (t) as a sum of...
gnal x(r)=cos(27-750+4)+2cos(27-20001-3)+3cos(2π·2500t) 1. The si is sampled by an ideal A/D converter at sampling frequency =...
gnal x(r)=cos(27-750+4)+2cos(27-20001-3)+3cos(2π·2500t) 1. The si is sampled by an ideal A/D converter at sampling frequency = 2 kHz . Find x[n] where 0 Find y(1) if x[n] s passed through an ideal D/A converter operating at a) ω π for all normalized frequencies. frequency fs = 2 kHz . c) Is y()-(t) Why or why not?
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in thi...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
3. You have bought a data acquisition device from Ebay. The sampling interval of the device is 1 msec. a. What is the sampling frequency of the device? What is the folding frequency of the device? No...
3. You have bought a data acquisition device from Ebay. The sampling interval of the device is 1 msec. a. What is the sampling frequency of the device? What is the folding frequency of the device? Now, you are measuring following sinusoidal signals with the data acquisition device. For each signal, draw 1) Fourier transform magnitude of the original continuous-time signal, 2) Fourier transform magnitude of the sampled signal (draw at least first positive replica and first negative replica), 3)...
36. Sampling a low-pass signal. A signal x(t) = sin( 1,000.71) is sampled at the rate of F, and sent through a unity-gain ideal low-pass filter with the cutoff frequency at F,/2. Find and plot the Fourier transform of the reconstructed signal z(t) at filter's output if a. F=20 kHz b. Fs =800 Hz
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at a sampling rate fs = 180 Hz. Sketch the spectrum X (f) of the sampled signal x (t). Properly label x-axis and y-axis. 2) Now suppose we will use an ideal lowpass filter of gain 1/fs with a cutoff frequency 90 Hz for the sampled signal xs(t). What is the output of the filter x,(t)? 3) Now let's take samples of x(t) at sampling...
21. The signal x(t) = cos(1,8001t – 1/6) is sampled uniformly at the rate of 1 kHz and passed through an ideal low-pass filter with a DC gain of 0.001 and a cutoff frequency of 500 Hz. Find the filter's output.
Question 2 A bandlimited signal is sampled at the Nyquist rate (fs). The signal can be recovered by passing the samples through: a. a low-pass filter with cut-off frequency O b. an envelope detector c. a PLL Od. a high-pass filter with cut-off frequency
1. Consider a signal of the form (t) = 2 cos(100nt) cos(1507) This signal is first sampled at the rate of 80 samples per second and the result was processed with an ideal reconstruction filter, again assuming that sampling rate was 80 samples per second. What is the signal that results after the reconstruction? Show enough details in your answer to demonstrate that you understand the theory of sampling and reconstruction from samples. Hint: Write (t) as a sum of...
gnal x(r)=cos(27-750+4)+2cos(27-20001-3)+3cos(2π·2500t) 1. The si is sampled by an ideal A/D converter at sampling frequency = 2 kHz . Find x[n] where 0 Find y(1) if x[n] s passed through an ideal D/A converter operating at a) ω π for all normalized frequencies. frequency fs = 2 kHz . c) Is y()-(t) Why or why not?
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
3. You have bought a data acquisition device from Ebay. The sampling interval of the device is 1 msec. a. What is the sampling frequency of the device? What is the folding frequency of the device? Now, you are measuring following sinusoidal signals with the data acquisition device. For each signal, draw 1) Fourier transform magnitude of the original continuous-time signal, 2) Fourier transform magnitude of the sampled signal (draw at least first positive replica and first negative replica), 3)...
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