Given the signal x(n) = 3 4 5 A second signal y(n) has a Fourier Transform that -atisfies (@) = X(@- 7)e¯j Find y(0), y(2). -j@3
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- Problem 1. Which gives the inverse transforms of the given s-domain function? [(e^-5t)/72](24te^6t - 20e^6t + 27e^8t - 7) [(e^5t)/72](-24te^6t - 20e^6t + 27e^8t - 7) [(e^-5t)/72](-24te^6t + 20e^6t - 27e^8t - 7) [(e^-5t)/72](-24te^6t - 20e^6t + 27e^8t - 7)z- transform (signal and system) (1+0.8z^-1+0.5z^-2)Y = (1+z^-1)X how can I do z transform for this equation for impulse response H(w), h[n]?Suppose a CT signal x(t) = 2[u(t-2) – u(t+1)] has a transform X(s).a) If Ya(s) = e^-5s *sX(s), determine and sketch the corresponding signal y_a(t).b) If Yb(s) = 2^-s*sX(s-2), determine and sketch the corresponding signal y_b(t)
- Z transform is very important in frequency domain signal processing. With this in mind, find out the Z transform of nu(n) where u(n) is the unit step function.Simplify given expression using SOP form. K(A,B,C,D) = Σ(0,1,3,7,2,8,10) d(A,B,C,D) = Σ(5,6,11,15)Assume X[z] is the z-transform of the signal x[n]. What is the z-transform of X*[n]?
- T(s)= 15.2/ s^3 +8s^2+16s+15.2 From T(s) in Question # 2, use Routh Hurwitz method to make Routh table and find whether the system is stable or not. K = 15.2. Is the system stable? Why? Find poles of T(s) to find the stability of system. Is the system stable? Why? From transfer function, how we can find stability in time domain? Find inverse Laplace transform if T(s), and show that the system is stable in time domain.Show that a hilbert transform of an even signal is odd and the hilbert transform of an odd signal is even. Apply the hilbert transform definition and write definitions of odd and even signals.Homework Q1: Solve the following difference equation by using Z transform 3 1 mk Y0 ~3y(k=1)+5y(k—2) = 2sin (T) YD =2,y(-2)=4 112 w 96 g5 Sin (Ek) e Ems(— Q2: The signal f(k) has Z transform as the following: Fy o 22437 127 D=2+ +2405 Compute f(3). Ans: f(3)=8 Q3: The signal f(t) = 2 — 2cos(2mt) is sampled every T second. What is the Z transform for the sampled signal f(k) atT = 0.1 sec. Q4: Find Z transform for the following sampled signal: (-1 k=4,56,.. fk) = 0 elsewhere Q5: Write the Difference Equation for the following sampled system, and solve it:
- Suppose that: H(z) = (z^2 − 1)(z ^2 − 2z + 5) / (25z^2 + 25z + 6) is the transfer/system function of a DT LTI system. Assuming that the impulse response h[n] is right-sided, draw the pole-zero diagram, including the ROC. Find an appropriate partial fractions expansion for inverting the z-transform and use the tables of z-transform properties and pairs to find the impulse response h[n], assuming h[n] is right-sided. Thank you for the help on this problem. I got poles at -3/5 and -2/5 and zeros at 1, 1+- j2 I'm not sure that is right and I'm not exactly sure if my pole diagram is correct. for the partial fractions and invert z transfom i got 3/5e^-30 and 2/5e^-20 u(n). I 'm not exactly sure all this is right though and was hoping for a second opinion. Thanks again for your time and energy.Find z transform for the given Discrete time signals below: a. x[n]=2sin(100n)u[n] b. x[n]=2+0.65^n cos(200n)u[n] Note: Use z transform pairsEvaluate the inverse z-transform of of the functions given below by the three methods described in the text: E(z)=0.5z/(z-1)(z-0.6)