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2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in thi...
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist...
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
For given analog signal xa(t) what is the maximum frequency of this signal and what is...
For given analog signal xa(t) what is the maximum frequency of this signal and what is the Nyquist rate for this signal (choose the minimum one) xa(t)=5 cos(310pi t) + 8 sin(420pi t)
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
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)...
A signal is of the form f(t) = 2 cos(2πt) + 3cos(10πt). It is desired to...
A signal is of the form f(t) = 2 cos(2πt) + 3cos(10πt). It is desired to filter out the higher frequency in the signal using a low-pass filter constructed using a resistance R and a capacitor C =10 μF. What is the value of the resistance R that will attenuate the higher frequency signal to 10% of its original value? What is the corresponding alteration to the low frequency signal?
19. Suppose that we wish to create a signal x(t) = cos(2π10%) sin(100nt) 100Tt (f Suppose that ...
19. Suppose that we wish to create a signal x(t) = cos(2π10%) sin(100nt) 100Tt (f Suppose that x(t) is sampled with sampling rate 3f. Sketch the spectrum of x(e ) (g) Suppose that we want to generate x(t using a discrete-to continuous converter operating at two times the Nyquist rate. What function xnl do you need to input into the discrete-to-continuous converter to generate x(t)?
19. Suppose that we wish to create a signal x(t) = cos(2π10%) sin(100nt) 100Tt
(f...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling frequencies a) 2. = 20007 and b) 2. = 15007. 1) Sketch the amplitude spectra of the sampled signal r(t) in both cases. 2) Sketch the output of the ideal low pass filter with a cut-off frequency 1000m in both cases.
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...
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat...
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat function for this wave. ii) What is the beat frequency? iii Calculate the proper sampling rate for this wave. iv) Calculate the time intervals between the samples.
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat function for this wave. ii) What is the beat frequency? iii Calculate the proper sampling rate for this wave. iv) Calculate...
(30 pts) Consider the following sampling system where the input is x(t) = sin 2nt + cos 3nt r(t) Cp (t) (a) (10 pts) Fi...
(30 pts) Consider the following sampling system where the input is x(t) = sin 2nt + cos 3nt r(t) Cp (t) (a) (10 pts) Find and plot the Fourier Transform of x(t) (b) (10 pts) What is the Nyquist frequency and period for sampling? (c) (10 pts) Find and plot the Fourier Transform of xp(t) using the Nyquist rate.
(30 pts) Consider the following sampling system where the input is x(t) = sin 2nt + cos 3nt r(t) Cp (t)...
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
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
19. Suppose that we wish to create a signal x(t) = cos(2π10%) sin(100nt) 100Tt (f Suppose that x(t) is sampled with sampling rate 3f. Sketch the spectrum of x(e ) (g) Suppose that we want to generate x(t using a discrete-to continuous converter operating at two times the Nyquist rate. What function xnl do you need to input into the discrete-to-continuous converter to generate x(t)?
19. Suppose that we wish to create a signal x(t) = cos(2π10%) sin(100nt) 100Tt
(f...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling frequencies a) 2. = 20007 and b) 2. = 15007. 1) Sketch the amplitude spectra of the sampled signal r(t) in both cases. 2) Sketch the output of the ideal low pass filter with a cut-off frequency 1000m in both cases.
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...
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat function for this wave. ii) What is the beat frequency? iii Calculate the proper sampling rate for this wave. iv) Calculate the time intervals between the samples.
Consider the below wave function and answer the following questions. F(t) cos(T.6t)+cos(.5t) i) Graph the beat function for this wave. ii) What is the beat frequency? iii Calculate the proper sampling rate for this wave. iv) Calculate...
(30 pts) Consider the following sampling system where the input is x(t) = sin 2nt + cos 3nt r(t) Cp (t) (a) (10 pts) Find and plot the Fourier Transform of x(t) (b) (10 pts) What is the Nyquist frequency and period for sampling? (c) (10 pts) Find and plot the Fourier Transform of xp(t) using the Nyquist rate.
(30 pts) Consider the following sampling system where the input is x(t) = sin 2nt + cos 3nt r(t) Cp (t)...
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