Solve this using Z transform table and algebraic manipulation of the function. Make it as simple as possible.
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Solve this using Z transform table and algebraic manipulation of
the function. Make it as simple...
Let s = {k=1CkXAz be a simple function, where {A1, A2, ... , An} are disjoint....
Let s = {k=1CkXAz be a simple function, where {A1, A2, ... , An} are disjoint. Prove that for every p>0, |CK|PXAR
Find the inverse Laplace transform, f(t) of the function F(s)+ f(t) Points possible: 1 S >...
Find the inverse Laplace transform, f(t) of the function F(s)+ f(t) Points possible: 1 S > 3 Preview t>0 Enter an algebraic expression [more..]
1. Laplace Transform. (10 pts) Find the Laplace Transform of the following signals and sketch the...
1. Laplace Transform. (10 pts) Find the Laplace Transform of the following signals and sketch the corresponding pole-zero plot for each signal. In the plot, indicate the regions of convergence (ROC). Write X(s) as a single fraction in the forin of (a) (2 pts) z(t) = e-Mu(t) + e-6tu(t). Show that X(s)-AD10 (b) (4 pts)-(t) = e4ta(-t) + e8ta(-t). (c) (4 pts) (t)-(t)-u(-t) . with ROC of Re(s) >-4. (s+4)(8+6)
Find the Laplace transform of the function f(t). f(t) = sínztif25tS8; f(t):0if t < 2 or...
Find the Laplace transform of the function f(t). f(t) = sínztif25tS8; f(t):0if t < 2 or if t > 8 Click the icon to view a short table of Laplace transforms. F (s) =
(c). Determine the Fourier transform of s(t)={! -1<i<1 14 > 1
(c). Determine the Fourier transform of s(t)={! -1<i<1 14 > 1
Use the convolution theorem to find the inverse Laplace transform of the given function. 2 $3...
Use the convolution theorem to find the inverse Laplace transform of the given function. 2 $3 (s2+4) 2 >(t)= (s2+4) s3
2.5.9. The random variable X has a cumulative distribution function for xo , for xsO ....
2.5.9. The random variable X has a cumulative distribution function for xo , for xsO . for r>0 F(x) = z? 1 +x2 Find the probability density function of X.
2.5.9. The random variable X has a cumulative distribution function for xo , for xsO ....
2.5.9. The random variable X has a cumulative distribution function for xo , for xsO . for r>0 F(x) = z? 1 +x2 Find the probability density function of X.
4. (20 points) Use z-transform to solve the difference equation y(k) -1.5y(k-1) + 0.56y(k-2) = x(k)...
4. (20 points) Use z-transform to solve the difference equation y(k) -1.5y(k-1) + 0.56y(k-2) = x(k) for k> 0 with initial conditions y(-1) = 3, y(-2)=-4, and x(k)= kļu(k).
Laplace Transform 3. If the ROC for a Laplace Transform pair x(t) <-> X(s) contains the...
Laplace Transform
3. If the ROC for a Laplace Transform pair x(t) <-> X(s) contains the entire w . axis, which of the following two statements are true: The Fourier Transform for x(t) does not exist. The Fourier Transform for x(t) exists. The Fourier Transform for x(t) exists provided that x(t) is absolutely integrable, if not then it does not exist. The system is unstable. The system is stable. There is not enough information to determine existence or non-existence of...
Let s = {k=1CkXAz be a simple function, where {A1, A2, ... , An} are disjoint. Prove that for every p>0, |CK|PXAR
Find the inverse Laplace transform, f(t) of the function F(s)+ f(t) Points possible: 1 S > 3 Preview t>0 Enter an algebraic expression [more..]
1. Laplace Transform. (10 pts) Find the Laplace Transform of the following signals and sketch the corresponding pole-zero plot for each signal. In the plot, indicate the regions of convergence (ROC). Write X(s) as a single fraction in the forin of (a) (2 pts) z(t) = e-Mu(t) + e-6tu(t). Show that X(s)-AD10 (b) (4 pts)-(t) = e4ta(-t) + e8ta(-t). (c) (4 pts) (t)-(t)-u(-t) . with ROC of Re(s) >-4. (s+4)(8+6)
Find the Laplace transform of the function f(t). f(t) = sínztif25tS8; f(t):0if t < 2 or if t > 8 Click the icon to view a short table of Laplace transforms. F (s) =
(c). Determine the Fourier transform of s(t)={! -1<i<1 14 > 1
Use the convolution theorem to find the inverse Laplace transform of the given function. 2 $3 (s2+4) 2 >(t)= (s2+4) s3
2.5.9. The random variable X has a cumulative distribution function for xo , for xsO . for r>0 F(x) = z? 1 +x2 Find the probability density function of X.
2.5.9. The random variable X has a cumulative distribution function for xo , for xsO . for r>0 F(x) = z? 1 +x2 Find the probability density function of X.
4. (20 points) Use z-transform to solve the difference equation y(k) -1.5y(k-1) + 0.56y(k-2) = x(k) for k> 0 with initial conditions y(-1) = 3, y(-2)=-4, and x(k)= kļu(k).
Laplace Transform
3. If the ROC for a Laplace Transform pair x(t) <-> X(s) contains the entire w . axis, which of the following two statements are true: The Fourier Transform for x(t) does not exist. The Fourier Transform for x(t) exists. The Fourier Transform for x(t) exists provided that x(t) is absolutely integrable, if not then it does not exist. The system is unstable. The system is stable. There is not enough information to determine existence or non-existence of...
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