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B) A second CT system has the following pole-zero diagram: jw x...
B A second CT system has the following pole-zero diagram: jw X S-plane Re х let...
B
A second CT system has the following pole-zero diagram: jw X S-plane Re х let assume that the input signal is as follows {1; cos(t) > 0; otherwise. Let ak and by represent the Fourier series coefficients of the input and output signals, respectively, where the fundamental (lowest frequency component) of each signal has a period of 27. It is known that he . Determine , justify your answers mathematically.
Q6 A second CT system has the following pole-zero diagram: jw X S-plane Re х let...
Q6
A second CT system has the following pole-zero diagram: jw X S-plane Re х let assume that the input signal is as follows {1; cos(t) > 0; otherwise. Let ak and by represent the Fourier series coefficients of the input and output signals, respectively, where the fundamental (lowest frequency component) of each signal has a period of 27. It is known that he . Determine , justify your answers mathematically.
5 . A) A causal Continuous-time system has the following pole-zero diagram: jw S-plane Re -1...
5 . A) A causal Continuous-time system has the following pole-zero diagram: jw S-plane Re -1 - Let y(t) = s(t) represent the response of this system to a unit-step signal 0; otherwise. Assume that the Unit-Step response s(t) of this system is known to approach 1 as t o. Determine y(t) = s(t), justify your answers mathematically.
Please answer very good and with clear hand writing for signals and systems thanks Let a...
Please answer very good and with clear hand writing for
signals and systems thanks
Let a periodic signal x(t) with a fundamental frequency ?,-2n have a period 4.6 x1(t) = t(u(t)--u(t-1)] (a) Plot x(t), and indicate its fundamental period To Compute the Fourier series coefficients of x(t) using their integral definition. (b) (c) Use the Laplace transform to compute the Fourier series coefficients (d) Suppose that y(t) = dx(t)/dt, find the Fourier transform of x(t) by Answers: x(t) is periodic...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t)...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts)...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...
4. The continuous-time signal e(t) has the Fourier transform X(jw) shown below. Xe(ju) is zero ou...
4. The continuous-time signal e(t) has the Fourier transform X(jw) shown below. Xe(ju) is zero outside the region shown in the figure X.Gj) -2T (300) -2r(100) 0 2n(100) 2T (300) We need to filter re(t) to remove all frequencies higher than 200 Hz. (a) Plot the effective continuous-time filter we need to implement. Label your plot. b) Suppose we decide to implement the filtering in discrete-time using the overall process (sample, filter, reconstruct) shown in the figure in Problem 3....
This is in electrical engineering signals, I NEED IT ASAP PLEASE!! (b) A continuous-time LTT system...
This is in electrical engineering signals, I NEED IT ASAP
PLEASE!!
(b) A continuous-time LTT system has an input (t) and an output y(t). The frequency response of the system is (w). 0) (1 point) Write an equation that describes the relationship between the Fourier trans- forms of the input and output (X (jw) and Y Gw)) and the frequency response (jw). For the rest of the problem, assume that X(jw) and (w) are as shown in the plots below....
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal...
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...
B
A second CT system has the following pole-zero diagram: jw X S-plane Re х let assume that the input signal is as follows {1; cos(t) > 0; otherwise. Let ak and by represent the Fourier series coefficients of the input and output signals, respectively, where the fundamental (lowest frequency component) of each signal has a period of 27. It is known that he . Determine , justify your answers mathematically.
Q6
A second CT system has the following pole-zero diagram: jw X S-plane Re х let assume that the input signal is as follows {1; cos(t) > 0; otherwise. Let ak and by represent the Fourier series coefficients of the input and output signals, respectively, where the fundamental (lowest frequency component) of each signal has a period of 27. It is known that he . Determine , justify your answers mathematically.
5 . A) A causal Continuous-time system has the following pole-zero diagram: jw S-plane Re -1 - Let y(t) = s(t) represent the response of this system to a unit-step signal 0; otherwise. Assume that the Unit-Step response s(t) of this system is known to approach 1 as t o. Determine y(t) = s(t), justify your answers mathematically.
Please answer very good and with clear hand writing for
signals and systems thanks
Let a periodic signal x(t) with a fundamental frequency ?,-2n have a period 4.6 x1(t) = t(u(t)--u(t-1)] (a) Plot x(t), and indicate its fundamental period To Compute the Fourier series coefficients of x(t) using their integral definition. (b) (c) Use the Laplace transform to compute the Fourier series coefficients (d) Suppose that y(t) = dx(t)/dt, find the Fourier transform of x(t) by Answers: x(t) is periodic...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...
4. The continuous-time signal e(t) has the Fourier transform X(jw) shown below. Xe(ju) is zero outside the region shown in the figure X.Gj) -2T (300) -2r(100) 0 2n(100) 2T (300) We need to filter re(t) to remove all frequencies higher than 200 Hz. (a) Plot the effective continuous-time filter we need to implement. Label your plot. b) Suppose we decide to implement the filtering in discrete-time using the overall process (sample, filter, reconstruct) shown in the figure in Problem 3....
This is in electrical engineering signals, I NEED IT ASAP
PLEASE!!
(b) A continuous-time LTT system has an input (t) and an output y(t). The frequency response of the system is (w). 0) (1 point) Write an equation that describes the relationship between the Fourier trans- forms of the input and output (X (jw) and Y Gw)) and the frequency response (jw). For the rest of the problem, assume that X(jw) and (w) are as shown in the plots below....
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...
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