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A random Process XCt) has an auto Correlation...
A random process X(t) has an autocorrelation function Rxx (T) = 9 + 2e-1| If X(t)...
A random process X(t) has an autocorrelation function Rxx (T) = 9 + 2e-1| If X(t) defined in question 11 is the input to a system having an impulse response h(t) = e-stu(t), where is a positive constant Find the mean value of the output process
Please show all work, will rate immediately ?? An Input noise Process nilt) having a PSD...
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An Input noise Process nilt) having a PSD that is constant between 200 and 700 rads (the power density is 100 W/Hz) is the input to a lowpass filter whose bandwidth is 500 rada and gain is l. a) Sketch the PSD of no (+), the noise process at the output of the lowpass filter b) Find the average power of ni(t) and nolt)
A random process has a sample function of the form: Where: Y and are constants (NOT...
A random process has a sample function of the form: Where: Y and are constants (NOT random variables) and is a random variable that is uniformly distributed between 0 and . Find: the mean value, the mean square value and variance of Show that the random process is wide-sense-stationary (wss) and its auto correlation depends only on which is the difference in time between and foe a give waveform
11.8 A linear system has a transfer function given by H(W) + 15w+50 Determine the power...
11.8 A linear system has a transfer function given by H(W) + 15w+50 Determine the power spectral density of the output when the input function is a. a stationary random process X(t) with an autocorrelation function, Rxx(t)=10e ! b. white noise that has a mean-square value of 1.2 V/Hz
9.28 Consider the LSI system shown in Figure P9.28, whose input is the zero-mean random process...
9.28 Consider the LSI system shown in Figure P9.28, whose input is the zero-mean random process W(t) and whose output is the random process X(t). The frequency response of the system is H(w). Given Kww() = 8(T), find H(W) in terms of the cross-covariance K xw (T) or its Fourier transform. Wit) X(t) H (6) Figure P9.28 LSI system with white noise input.
8.2-24. A random process X(t) is applied to a network with impulse response h(t) = u(t)texp(-bt)...
8.2-24. A random process X(t) is applied to a network with impulse response h(t) = u(t)texp(-bt) where b > 0 is a constant. The cross-correlation of X(t) with the output Y() is known to have the same form: Rxy(t) = u(t)t exp(-bt) (a) Find the autocorrelation of y(t). (b) What is the average power in Y(0)?
Exercise 5. Let X(t) be a WSS process with correlation function 1-Irl, if-1-1S1 0,otherwise. Rx(T) =...
Exercise 5. Let X(t) be a WSS process with correlation function 1-Irl, if-1-1S1 0,otherwise. Rx(T) = It is known that when X (t) is input to a system with transfer function H(), the system output Y(t) has a correlation function Ry(T) sin TT = =-TT Find the transfer function H(u
Will thumbs up if completed. Please show all work and have clear images, thank you. 4....
Will thumbs up if completed. Please show all work and have clear
images, thank you.
4. Find the output of an LTI system whose impulse response is h[n] = u[n – 1], if the input signal x[n] = (1/3)-nu[-n – 1] is applied to it. (15 points)
random vibrations Problem 1 Two random variables x and y have the joint probability density function where c is a...
random vibrations
Problem 1 Two random variables x and y have the joint probability density function where c is a constant. Verify that x and y are statistically independent and find the value of c for plx, y) to be correctly normalized. Check that Elx) Elyl-0 and that Elx2] and Ely') are both infinite Problem 2. Each sample function x(t) of a random process x(t) is given by: where a, a2, wh, and w are constants but 61 and 62,...
Please respond as soon as possible, thank you. An LTI system has the impulse response h(T) = 1 for 0 <T<T and is...
Please respond as soon as possible, thank you.
An LTI system has the impulse response h(T) = 1 for 0 <T<T and is zero otherwise. If continuous-time white noise with ACF ru(T) = (No/2)8(T) is input to the system, what is the PSD of the output random process? Sketch the PSD.
A random process X(t) has an autocorrelation function Rxx (T) = 9 + 2e-1| If X(t) defined in question 11 is the input to a system having an impulse response h(t) = e-stu(t), where is a positive constant Find the mean value of the output process
Please show all work, will rate immediately ??
An Input noise Process nilt) having a PSD that is constant between 200 and 700 rads (the power density is 100 W/Hz) is the input to a lowpass filter whose bandwidth is 500 rada and gain is l. a) Sketch the PSD of no (+), the noise process at the output of the lowpass filter b) Find the average power of ni(t) and nolt)
11.8 A linear system has a transfer function given by H(W) + 15w+50 Determine the power spectral density of the output when the input function is a. a stationary random process X(t) with an autocorrelation function, Rxx(t)=10e ! b. white noise that has a mean-square value of 1.2 V/Hz
9.28 Consider the LSI system shown in Figure P9.28, whose input is the zero-mean random process W(t) and whose output is the random process X(t). The frequency response of the system is H(w). Given Kww() = 8(T), find H(W) in terms of the cross-covariance K xw (T) or its Fourier transform. Wit) X(t) H (6) Figure P9.28 LSI system with white noise input.
8.2-24. A random process X(t) is applied to a network with impulse response h(t) = u(t)texp(-bt) where b > 0 is a constant. The cross-correlation of X(t) with the output Y() is known to have the same form: Rxy(t) = u(t)t exp(-bt) (a) Find the autocorrelation of y(t). (b) What is the average power in Y(0)?
Exercise 5. Let X(t) be a WSS process with correlation function 1-Irl, if-1-1S1 0,otherwise. Rx(T) = It is known that when X (t) is input to a system with transfer function H(), the system output Y(t) has a correlation function Ry(T) sin TT = =-TT Find the transfer function H(u
Will thumbs up if completed. Please show all work and have clear
images, thank you.
4. Find the output of an LTI system whose impulse response is h[n] = u[n – 1], if the input signal x[n] = (1/3)-nu[-n – 1] is applied to it. (15 points)
random vibrations
Problem 1 Two random variables x and y have the joint probability density function where c is a constant. Verify that x and y are statistically independent and find the value of c for plx, y) to be correctly normalized. Check that Elx) Elyl-0 and that Elx2] and Ely') are both infinite Problem 2. Each sample function x(t) of a random process x(t) is given by: where a, a2, wh, and w are constants but 61 and 62,...
Please respond as soon as possible, thank you.
An LTI system has the impulse response h(T) = 1 for 0 <T<T and is zero otherwise. If continuous-time white noise with ACF ru(T) = (No/2)8(T) is input to the system, what is the PSD of the output random process? Sketch the PSD.
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