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An analog signal is given as below x(t) 10sin 4Tt...
An analog signal is given as below x(t) = 10sin 4rtt The signal is sampled by...
An analog signal is given as below x(t) = 10sin 4rtt The signal is sampled by two different frequencies f, = 1Hz, f, = 10Hz respectively, and the output are yı, Yz. (i) Sketch signal x(t) in the time domain. (3 marks) (ii) Sketch frequency spectrum of x(t). (3 marks) (iii) After sampling, the continuous signal is converted to a discrete signal. Draw the two discrete signals Yı, Y2: (4 marks) (iv) Discuss whether f1, f, can successfully sample the...
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)...
1. An analog signal \(\mathrm{x}(\mathrm{t})\) contains frequencies from 0 up to \(10 \mathrm{kHz}\). You can assume...
1. An analog signal \(\mathrm{x}(\mathrm{t})\) contains frequencies from 0 up to \(10 \mathrm{kHz}\). You can assume any arbitrary spectrum for this signal. (Note that this signals also has frequencies from 0 to \(-10 \mathrm{KHz} .)\) a) Draw the frequency spectrum of the signal after it has been sampled with a sampling frequency \(\mathrm{F}_{\mathrm{s}}=25 \mathrm{kHz}\) b) What range of sampling frequencies allows exact reconstruction of this signal from its samples? c) How is the original signal reconstructed from the sampled signal?...
Question 1: (Sampling and Aliasing Effeet) (25 Marks) The given analog signal x(t)--sin(16xt)+ sin(11xt)+ sin (5nt), where t is in milliseconds, is sampled at a rate of 12kHz. The resulting sampl...
Question 1: (Sampling and Aliasing Effeet) (25 Marks) The given analog signal x(t)--sin(16xt)+ sin(11xt)+ sin (5nt), where t is in milliseconds, is sampled at a rate of 12kHz. The resulting samples are immediately reconstructed by an ideal reconstructor. a. Find and sketch the spectrum of x(t) versus Ω. b. Find and sketch the spectrum of the sampled signal versus o. c. Determine the analog signal x (t) at the output of the reconstructor. d. Prove the x(0) and x(t) having...
2.5. Given an analog signal x(t)5cos(2T 2, 5001) + 2cos(2T 4, 5001), for t2 0 sampled...
2.5. Given an analog signal x(t)5cos(2T 2, 5001) + 2cos(2T 4, 5001), for t2 0 sampled at a rate of 8,000 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 frequneuencis f aliasing noise.
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...
1. Given the spectrum X(f) of an analog signal x(t), sketch the spectrum of its sampled...
1. Given the spectrum X(f) of an analog signal x(t), sketch the spectrum of its sampled version x[n], assuming a sampling rate of 50, 40, and 30 Hz. (a) X()=rect(f/40) (b) X()=tri(f/20)
Problem 3 (30 points). Given an analog signal x(t) = 6 cos(200xt)+3 cos(600xt) + COS(1600xt) a....
Problem 3 (30 points). Given an analog signal x(t) = 6 cos(200xt)+3 cos(600xt) + COS(1600xt) a. What is the minimum sampling frequency such that no aliasing occurs? b. Suppose sampling frequency = 1K Hz, plot the frequency spectrum range from 1 to 1 for x(n) (use for digital frequency in x-axis). Explain how to get your plots in detail. c. Repeat part b, i.e. plot the frequency spectrum range from - i tor for x(n) (use @ for digital frequency...
Please answer in MATLAB, thank you! 2. Calculate the energy of time domain signal x (t) and z (t) for the range of 0SIS...
Please answer in MATLAB, thank you!
2. Calculate the energy of time domain signal x (t) and z (t) for the range of 0SIS2.5 Also calculate the energy of these signals in frequency domain using Parseval's theorem. Plot Energy (X) and Energy (Z) as a function of frequency f in a 2xl subplot (Energy vs frequency plot is know as energy spectrum of a signal).
2. Calculate the energy of time domain signal x (t) and z (t) for the...
Please provide a detailed answer, Thank you A Signal xt) with a Fourier Transform Rads/sec. X(92)...
Please provide a detailed answer, Thank you
A Signal xt) with a Fourier Transform Rads/sec. X(92) shown below is sampled with sampling Frequency 100 X(02) -2020 20 brad/sec) a- Plot the Fourier Transform of the sampled signal X.(2) b- What is the Nyquist Frequency C- What is the minimum sample rate we can use? d- What filter we can use to reconstruct the signal and what is its impulse response. e- If we decide to sample the signal at 50...
An analog signal is given as below x(t) = 10sin 4rtt The signal is sampled by two different frequencies f, = 1Hz, f, = 10Hz respectively, and the output are yı, Yz. (i) Sketch signal x(t) in the time domain. (3 marks) (ii) Sketch frequency spectrum of x(t). (3 marks) (iii) After sampling, the continuous signal is converted to a discrete signal. Draw the two discrete signals Yı, Y2: (4 marks) (iv) Discuss whether f1, f, can successfully sample the...
Question 1: (Sampling and Aliasing Effeet) (25 Marks) The given analog signal x(t)--sin(16xt)+ sin(11xt)+ sin (5nt), where t is in milliseconds, is sampled at a rate of 12kHz. The resulting samples are immediately reconstructed by an ideal reconstructor. a. Find and sketch the spectrum of x(t) versus Ω. b. Find and sketch the spectrum of the sampled signal versus o. c. Determine the analog signal x (t) at the output of the reconstructor. d. Prove the x(0) and x(t) having...
2.5. Given an analog signal x(t)5cos(2T 2, 5001) + 2cos(2T 4, 5001), for t2 0 sampled at a rate of 8,000 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 frequneuencis f aliasing noise.
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...
1. Given the spectrum X(f) of an analog signal x(t), sketch the spectrum of its sampled version x[n], assuming a sampling rate of 50, 40, and 30 Hz. (a) X()=rect(f/40) (b) X()=tri(f/20)
Problem 3 (30 points). Given an analog signal x(t) = 6 cos(200xt)+3 cos(600xt) + COS(1600xt) a. What is the minimum sampling frequency such that no aliasing occurs? b. Suppose sampling frequency = 1K Hz, plot the frequency spectrum range from 1 to 1 for x(n) (use for digital frequency in x-axis). Explain how to get your plots in detail. c. Repeat part b, i.e. plot the frequency spectrum range from - i tor for x(n) (use @ for digital frequency...
Please answer in MATLAB, thank you!
2. Calculate the energy of time domain signal x (t) and z (t) for the range of 0SIS2.5 Also calculate the energy of these signals in frequency domain using Parseval's theorem. Plot Energy (X) and Energy (Z) as a function of frequency f in a 2xl subplot (Energy vs frequency plot is know as energy spectrum of a signal).
2. Calculate the energy of time domain signal x (t) and z (t) for the...
Please provide a detailed answer, Thank you
A Signal xt) with a Fourier Transform Rads/sec. X(92) shown below is sampled with sampling Frequency 100 X(02) -2020 20 brad/sec) a- Plot the Fourier Transform of the sampled signal X.(2) b- What is the Nyquist Frequency C- What is the minimum sample rate we can use? d- What filter we can use to reconstruct the signal and what is its impulse response. e- If we decide to sample the signal at 50...
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