Consider an LTID svstem with system function H[2] b07-9716 (a) Determine the constant bo so that ...
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...
k2 k -oo \11,18 Consider an LTID system with the following impulse response: h[k sinc(3k/4). Determine the output responses of the LTID system for the following input's: Kix[k] = cos(117k/16) cos(37 k/16); (ii) x[k] k 0 k<5 for and x[k6] x[k]; 1 (0<k<2) 0.5 (3 k< 5) (iii) x[k]= xlk +91-xkl and
k2 k -oo \11,18 Consider an LTID system with the following impulse response: h[k sinc(3k/4). Determine the output responses of the LTID system for the following input's: Kix[k]...
Consider an LTI system for which the input rn] and the output yin] satisfy the linear onstant-coefficient difference equation 2 Please determine the algebraic equation system function H(). (5 points) 2. Please determine the poles and zeros. (5 points) 3. Please determine the impulse response hin]. (Hint: Please discuss two cases de pending on the region of convergence. (10 points)
Consider an LTI system for which the input rn] and the output yin] satisfy the linear onstant-coefficient difference equation 2...
A causal discrete-time LTI system is described by the equationwhere z is the input signal, and y the output signal y(n) = 1/3x(n) + 1/3x(n -1) + 1/3x(n - 2) (a) Sketch the impulse response of the system. (b) What is the dc gain of the system? (Find Hf(0).) (c) Sketch the output of the system when the input x(n) is the constant unity signal, x(n) = 1. (d) Sketch the output of the system when the input x(n) is the unit step signal, x(n)...
CP11.11 Consider the third-order svstem 0 4.3 -1.7 6.7 0.35 У-10 I 01x (a) Using the acker function, determine a full-state feedback gain matrix and an observer gain matrix to place the closed-loop system poles at si21.4 tj1.4, s3 -2 and the observer poles at s1,2 18 j5, s3 - -20. (b) Construct the state variable compensator using Figure 11.1 as a guide. (c) Simulate the closed-loop system with the state initial conditions x(0)=(1 0 0)' and initial state estimate...
Consider a unity feedback control system with open loop transfer function KG(G) s(s+2)(s + 6) 1. Write the characteristic equation of the system 2. Determine the open loop poles and open loop zeros of the system 3. Are there any zeros in infinity? If yes, how many? 4. Sketch the segments of root locus on real axis 5. Determine and sketch the center and the angles of the asymptotes
2. Consider a second IIR filter a. Determine the system function H(z), pole-zero location (patterns), and plot the pole-zero pattern. b. Determine the analytical expression for frequency response, magnitude, and phase response. c. Choose b so that the maximum magnitude response is equal to 1. d. Plot the pole-zero pattern and the magnitude of the frequency response as a function of normal frequency.
2. Consider a second IIR filter a. Determine the system function H(z), pole-zero location (patterns), and plot...
1. A discrete-time LTI system has the system function H(z) given below: H(2)1 2 (e) Determine the impulse response hin] associated with the stable system defined by this system function. (f) Make a careful sketch of the frequency response magnitude, i.е., IH(ew), of this system for lwl S T. Label your sketch!
1. A discrete-time LTI system has the system function H(z) given below: H(2)1 2 (e) Determine the impulse response hin] associated with the stable system defined by this...
2. Consider the unity feedback negative system with an open-loop function G(S)-KS. a. Plot the locations of open-loop poles with X and zeros with O on an s-plane. b. Find the number of segments in the root locus diagram based on the number of poles and zeros. c. The breakaway point (the point at which the two real poles meet and diverge to become complex conjugates) occurs when K = 0.02276. Show that the closed-loop system has repeated poles for...
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we analyce the denominator and use partial fraction expansion to write H() in the form Then we notice that each of these fraction terms is the Fourier of an exponentiol multiplied by a unit step as per the Table J (b) What is the output y(t) from the system if...