For the system in problem below, find the output yt if the input xt=ut, and y0-=4, y'0=0.
y''t+10y't+16yt=3x(t)
For the system in problem below, find the output yt if the input xt=ut, and y0-=4,...
Use the transfer function below. The input to this system H7jω is: xt=0.6cos12t+40° Find the output of the system is yt. (10 points) H7jω=5000jωjω+10jω+500
Solve DE and Find path(time) a) Yt+2-2yt+1+2yt=1 y0=1 y1=4 b) Yt+2-yt+1+1/4yt=1 Y0=4 , Y1=7
Answer 23, 24, and 25. thanks 23. If the input to the above system is a)2cus(4), what would be the output y0)? Use the equation below for the following problem(s): (cos(,)-1) y(t) = What is the Fourier Transform of the signal given above? 24. Use the equation(s) below to solve the following problem(s): tn-nne [2.5] Q otherwise Qctherwise what is the result of the convolution of the two signals shown above, x(n-fn]? a. (000019.5/3 6.5/3 33/20 1 0 0 b....
For the following system of first order difference equations xt+1=-xt-2yt +24 yt+1= -2xt+2yt+9 1) Present the system in matrix form. (2) Find the equilibrium vector. (3) Find the eigenvalues and eigenvectors for this system. (4) Find the general solution. (5) Plot the phase diagram.
Consider the model, Yt = BO+B1 Xt + Ut, and this is estimated using OLS with 65 observations. However, it is suspected autocorrelation is present. You estimate the residuals (Uhatt) on the lag of residuals (Uhatt-1), Xt, and a constant. These estimation results are presented in the table below. Coefficient Std. Error Intercept Uhatt-1 Xt 0.006 0.052 0.004 0.051 0.002 0.001 0.004 R2 Adjusted-R2 0.003 Make your decision on autocorrelation and choose the most appropriate action from the responses. A....
Consider the model, Yt = BO+B1 Xt + Ut, and this is estimated using OLS with 65 observations. However, it is suspected autocorrelation is present. You estimate the residuals (Uhatt) on the lag of residuals (Uhatt-1), Xt, and a constant. These estimation results are presented in the table below. Std. Error Coefficient 0.006 0.004 Intercept Uhatt-1 Xt 0.052 0.051 0.001 0.002 0.004 R2 Adjusted-R2 0.003 Make your decision on autocorrelation and choose the most appropriate action from the responses. O...
Consider the model, Yt = BO+B1 Xt + Ut, and this is estimated using OLS with 65 observations. However, it is suspected autocorrelation is present. You estimate the residuals (Uhatt) on the lag of residuals (Uhatt-1), Xt, and a constant. These estimation results are presented in the table below. Coefficient Std. Error 0.824 Intercept Uhatt-1 Xt 10.412 0.198 0.325 0.052 0.064 Adjusted-R2 0.122 0.107 Make your decision on autocorrelation and choose the most appropriate action from the responses. A. Not...
2. In the following system, x(t) is the input and y(t) is the output. yt) fix(t)] for some f For each of the system, determine if they are linear. Justify your answers (providing counter- examples could be useful if the system is not linear) A. y(t) 4x(t) B. y(t) t2x(t) C. y(t) 2x(t) +3 D. y(t) 4x2(t) Fx) dt
2. Suppose that Ya ut where the ut are iid Normal with mean zero and variance σ2, but that you mistakenly think Yt is difference stationary. You therefore construct a new series a) Are the Xt i.i.d.? Explain b) Is X stationary? Explain c) Calculate the mean, variance, and autocorrelation function of X d) How does the answer you obtained in (c) compare with the mean, variance and autocor- relation function of Y? 2. Suppose that Ya ut where the...
Problem 3 (4 points) Determine the output signal of the system below, if the input signal is xn)5+3con + 600) y(n)