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Q1) For the continuous time signal below, x(t)=1+t (a) Determine the even and odd parts of...
Transformations of independent variable 1. A discrete time signal is shown below. Sketch and care...
Please Answer the following questions ASAP. Thanks!
Transformations of independent variable 1. A discrete time signal is shown below. Sketch and carefully label x [2n 1 and xl-nlul-n1. 2. A continuous time signal x(t) is shown below. Sketch and carefully label x(t-1) and x(-t)-x(t)u(-t x(t) Even and Odd 3. Sketch x()Ev(sin(5mt)u(-t))for-1ts1 . Sketch the even and odd parts of signal x[n] in problem 1.
Transformations of independent variable 1. A discrete time signal is shown below. Sketch and carefully label...
1 x(t) is a continuous-time real sinal. Let (t) and (t) the even and the odd...
1 x(t) is a continuous-time real sinal. Let (t) and (t) the even and the odd components of x(t) respectively, show the total energy E of x(t) is given by 2. In signal analysis, scaling and shifting of a function are quite common (a) Show that the functions r(t) and t to) have the same areas and energies in other words (b) Show that r(T)dr
Question 3: The continuous-time signal x(t) with FT as displayed below is sampled. X(jw) 1 107...
Question 3: The continuous-time signal x(t) with FT as displayed below is sampled. X(jw) 1 107 -1079 Sketch the FT of the sampled signal for the following sampling periods (10 marks) (a) T, = 1/14 (b) T. = 1/10. (10 marks) (c) In each case, state whether we can recover the original signal x(t) or not. (10 marks
# 1 : Imagine that you have a continuous-time signal x(t) whose continuous-time Fourier transform is...
# 1 : Imagine that you have a continuous-time signal x(t) whose continuous-time Fourier transform is as given below -25 -20 f, Hz -10 10 20 25 (a) (10 pts) Imagine that this signal is sampled at the sampling rate of F, 65 Hz. Sketch the FT of the resulting signal that would be at the output of an ideal DAC (like we discussed in class) when given these samples. (b) (10 pts) Repeat part (a) for the case that...
(a) The continuous-time signal x(t) with FT as depicted in the figure shown below is sampled....
(a) The continuous-time signal x(t) with FT as depicted in the figure shown below is sampled. Sketch the FT of the sampled signal for the following sampling intervals: identify whether aliasing occurs, Ts = 1/12 X(jw) -117 107 W -10 0 117 97 97T (b) Determine the z-transform and ROC for the following time signals: x[n] = (4)"u[n] + (1)"u[ -– 1] Sketch the ROC, poles, and zeros in the z-plane.
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fund...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given bel...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
Question #4: Consider the signal x(t) cos(2π (a) Sketch the signal. Please make sure to label...
Question #4: Consider the signal x(t) cos(2π (a) Sketch the signal. Please make sure to label all relevant features. (b) Is the signal continuous or discrete? Explain. (c) Is the signal even, odd, or neither? Demonstrate
3. The signal continuous time signal re(t)-cos(200t)2cos cos(100t) is sampled at twice the Nyquis...
3. The signal continuous time signal re(t)-cos(200t)2cos cos(100t) is sampled at twice the Nyquist rate to get the sequence r[n]. (a) Sketch X(e) (b) If y[n] = [4n]. Sketch Y(e'"). (c) Is there any aliasing in the Fourier spectrum of yin]? Why or Why Not? (d) If z [n] = x-1, ketch the DTFT of z[n] (e) Is there any aliasing in the Fourier spectrum of [n]? Why or Why Not?
3. The signal continuous time signal re(t)-cos(200t)2cos cos(100t) is...
Please Answer the following questions ASAP. Thanks!
Transformations of independent variable 1. A discrete time signal is shown below. Sketch and carefully label x [2n 1 and xl-nlul-n1. 2. A continuous time signal x(t) is shown below. Sketch and carefully label x(t-1) and x(-t)-x(t)u(-t x(t) Even and Odd 3. Sketch x()Ev(sin(5mt)u(-t))for-1ts1 . Sketch the even and odd parts of signal x[n] in problem 1.
Transformations of independent variable 1. A discrete time signal is shown below. Sketch and carefully label...
1 x(t) is a continuous-time real sinal. Let (t) and (t) the even and the odd components of x(t) respectively, show the total energy E of x(t) is given by 2. In signal analysis, scaling and shifting of a function are quite common (a) Show that the functions r(t) and t to) have the same areas and energies in other words (b) Show that r(T)dr
Question 3: The continuous-time signal x(t) with FT as displayed below is sampled. X(jw) 1 107 -1079 Sketch the FT of the sampled signal for the following sampling periods (10 marks) (a) T, = 1/14 (b) T. = 1/10. (10 marks) (c) In each case, state whether we can recover the original signal x(t) or not. (10 marks
# 1 : Imagine that you have a continuous-time signal x(t) whose continuous-time Fourier transform is as given below -25 -20 f, Hz -10 10 20 25 (a) (10 pts) Imagine that this signal is sampled at the sampling rate of F, 65 Hz. Sketch the FT of the resulting signal that would be at the output of an ideal DAC (like we discussed in class) when given these samples. (b) (10 pts) Repeat part (a) for the case that...
(a) The continuous-time signal x(t) with FT as depicted in the figure shown below is sampled. Sketch the FT of the sampled signal for the following sampling intervals: identify whether aliasing occurs, Ts = 1/12 X(jw) -117 107 W -10 0 117 97 97T (b) Determine the z-transform and ROC for the following time signals: x[n] = (4)"u[n] + (1)"u[ -– 1] Sketch the ROC, poles, and zeros in the z-plane.
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
Question #4: Consider the signal x(t) cos(2π (a) Sketch the signal. Please make sure to label all relevant features. (b) Is the signal continuous or discrete? Explain. (c) Is the signal even, odd, or neither? Demonstrate
3. The signal continuous time signal re(t)-cos(200t)2cos cos(100t) is sampled at twice the Nyquist rate to get the sequence r[n]. (a) Sketch X(e) (b) If y[n] = [4n]. Sketch Y(e'"). (c) Is there any aliasing in the Fourier spectrum of yin]? Why or Why Not? (d) If z [n] = x-1, ketch the DTFT of z[n] (e) Is there any aliasing in the Fourier spectrum of [n]? Why or Why Not?
3. The signal continuous time signal re(t)-cos(200t)2cos cos(100t) is...
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