Let the signal x (t). Calculate the following:
a. Energy in an infinite time interval.
b. Power in an infinite time interval.
c. Energy in the time interval −1 ≤ t ≤ 3.
d. Power in the time interval −1 ≤ t ≤ 3.
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Let the signal x (t). Calculate the following:
a. Energy in an infinite time interval.
b....
3. Assume the signal x(t) = 5.e-2 u(t) V. (a) Calculate the signal energy (on a...
3. Assume the signal x(t) = 5.e-2 u(t) V. (a) Calculate the signal energy (on a 1-ohm basis) over the time interval from - to too. (b) Calculate the signal energy (on a 1-ohm basis) over the frequency range from - to too. (c) Repeat part (b) over the frequency range from -2 to +2 Hz. (d) Do your answers in parts (a), (b), and (c) make sense? Explain.
We are given the following signal (t), which is also known as "infinite train” of Dirac...
We are given the following signal (t), which is also known as "infinite train” of Dirac delta functions. w(t) 2 t(ms) -20 -10 10 10 20 30 Page 1 of 4 a) (5 points) Write a mathematical expression for w(t) in the time domain. b) (10 points) Find the Fourier coefficients of the signal using the definition and its Fourier transform W (f) [Note that results without correct derivation will get minimal points). c) (3 points) Sketch the signal magnitude...
Question 2 (50 points]: Continuous-Time Signals Given the following continuous-time signal (t). (t) 5t (a) [4%]...
Question 2 (50 points]: Continuous-Time Signals Given the following continuous-time signal (t). (t) 5t (a) [4%] What is the fundamental period (i.e., T) and fundamental frequency (ie, wo) of (+)? (b) [8%] Calculate the time average, average power and total energy of x(t). Is x(t) an energy signal? Explain. (c) [8%] Calculate the Fourier series coefficients of (t), i.e., {x}. [Hint: You can make use of the result in Q1(a).] (d) [8%] What is the percentage of power loss if...
c) Consider the following time-domain signal x(t) 2A for -T/2 sts T/2. Assume ()0 otherwise, answer...
c) Consider the following time-domain signal x(t) 2A for -T/2 sts T/2. Assume ()0 otherwise, answer the following i. Sketch the signal showing the major points of interest. Evaluate the Continuous Time Fourier Transform of x(t) as X(ω). ii. Compute the energy spectral density (ESD)X iv. Sketch the ESD of x(t)showing the major features. What can you say about the IV. bandwidth which the signal energy occupies? Is it finite or infinite?
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...
Find the energy of each of the following signals. If the energy is infinite, then also...
Find the energy of each of the following signals. If the energy is infinite, then also find the average power. a) X1(t) = 21(t + 100) b) x2) u(t) c) x3(t) = cos(2t) + 2 cos(4t) (Hint: Recall the trig identity: cos(a) cos(b) = 1+t [cos(a + b) + cos(a - b)).) 2 x4(t) = cos(2π) when cos(2πt)2 0; x4(t) = 0 when cos(2π) < 0. (That is: x,(t) is the response of a -wave rectifier to input signal cos(2Tt).)...
For all parts of this problem, let z(t) be the signal shown below. (Note that x(t)...
For all parts of this problem, let z(t) be the signal shown below. (Note that x(t) is defined by: x(t) = 3 - t for 0 <t <3; (t) = 0, otherwise.) 3 x(t) to i à (a) (6 points) Find the values of: (i) ſo r(t)8(t – 1)dt (ii) x(t)(t – 1)dt. (b) (6 points) Plot the signal y(t) defined by y(t) = x(r – 2)8(t – r)dr. (c) (6 points) Find the energy in x(t). (d) (7 points)...
Let x(t) be the signal below: Sketch the following: (a) xi(t) = x(1 – t) (b)...
Let x(t) be the signal below: Sketch the following: (a) xi(t) = x(1 – t) (b) cz(t) = -x(t – 1) (c) 23(t) = $.- (T)dt (d) x4(t) = (t+1)x(t) () 25(t) = dr(t).
(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...
3. (45 pts) On signal energy and power. From the following signals, identify energy signals and...
3. (45 pts) On signal energy and power. From the following signals, identify energy signals and power signals. For energy signals, calculate their energy. For power signals, calculate their average signal power. (g) x(t)= rect(t)) (h) x(t) =Loo rect(A) (i) 2(t)=e(-1-j80%(t) (k) x(t) = e-M/2 (l) x[n] = e-jm/2
3. Assume the signal x(t) = 5.e-2 u(t) V. (a) Calculate the signal energy (on a 1-ohm basis) over the time interval from - to too. (b) Calculate the signal energy (on a 1-ohm basis) over the frequency range from - to too. (c) Repeat part (b) over the frequency range from -2 to +2 Hz. (d) Do your answers in parts (a), (b), and (c) make sense? Explain.
We are given the following signal (t), which is also known as "infinite train” of Dirac delta functions. w(t) 2 t(ms) -20 -10 10 10 20 30 Page 1 of 4 a) (5 points) Write a mathematical expression for w(t) in the time domain. b) (10 points) Find the Fourier coefficients of the signal using the definition and its Fourier transform W (f) [Note that results without correct derivation will get minimal points). c) (3 points) Sketch the signal magnitude...
Question 2 (50 points]: Continuous-Time Signals Given the following continuous-time signal (t). (t) 5t (a) [4%] What is the fundamental period (i.e., T) and fundamental frequency (ie, wo) of (+)? (b) [8%] Calculate the time average, average power and total energy of x(t). Is x(t) an energy signal? Explain. (c) [8%] Calculate the Fourier series coefficients of (t), i.e., {x}. [Hint: You can make use of the result in Q1(a).] (d) [8%] What is the percentage of power loss if...
c) Consider the following time-domain signal x(t) 2A for -T/2 sts T/2. Assume ()0 otherwise, answer the following i. Sketch the signal showing the major points of interest. Evaluate the Continuous Time Fourier Transform of x(t) as X(ω). ii. Compute the energy spectral density (ESD)X iv. Sketch the ESD of x(t)showing the major features. What can you say about the IV. bandwidth which the signal energy occupies? Is it finite or infinite?
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...
Find the energy of each of the following signals. If the energy is infinite, then also find the average power. a) X1(t) = 21(t + 100) b) x2) u(t) c) x3(t) = cos(2t) + 2 cos(4t) (Hint: Recall the trig identity: cos(a) cos(b) = 1+t [cos(a + b) + cos(a - b)).) 2 x4(t) = cos(2π) when cos(2πt)2 0; x4(t) = 0 when cos(2π) < 0. (That is: x,(t) is the response of a -wave rectifier to input signal cos(2Tt).)...
For all parts of this problem, let z(t) be the signal shown below. (Note that x(t) is defined by: x(t) = 3 - t for 0 <t <3; (t) = 0, otherwise.) 3 x(t) to i à (a) (6 points) Find the values of: (i) ſo r(t)8(t – 1)dt (ii) x(t)(t – 1)dt. (b) (6 points) Plot the signal y(t) defined by y(t) = x(r – 2)8(t – r)dr. (c) (6 points) Find the energy in x(t). (d) (7 points)...
Let x(t) be the signal below: Sketch the following: (a) xi(t) = x(1 – t) (b) cz(t) = -x(t – 1) (c) 23(t) = $.- (T)dt (d) x4(t) = (t+1)x(t) () 25(t) = dr(t).
(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...
3. (45 pts) On signal energy and power. From the following signals, identify energy signals and power signals. For energy signals, calculate their energy. For power signals, calculate their average signal power. (g) x(t)= rect(t)) (h) x(t) =Loo rect(A) (i) 2(t)=e(-1-j80%(t) (k) x(t) = e-M/2 (l) x[n] = e-jm/2
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