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For systems having the following pole-zero plots (on the complex plane), please sketch the corresponding zero-input res...
P11.10 Label each of the following pole/zero plots in the z-plane as being that of a LP, HP, BP, BE or AP filter:
hw 9 ue Apr 17,2019 2:70PM Last Submission: None 1a. l6 pts] Pole-Zero Plots and Frequeney Response, DT systems. For each of the following three transfer functiona: H(z) = 1 + (49, 64): 2 1 +2-1 1(18/10) cos(/4)2-(81/100)22 H(z) sketch the pole-zero plots. Identify regions of convergence (ROC) such that the frequency responses magnitude responses (a)-c) below exist and match them to the three Explain briefly. hw 9 ue Apr 17,2019 2:70PM Last Submission: None 1a. l6 pts] Pole-Zero Plots...
1. Pole-zero placement. We wish to design a stable and causal second-order discrete-time (DT) filter (i.e., having two poles and two zeros, including those at 0 and oo) using pole-zero placement. (a) [5 pts] Where might you place the poles and zeros to achieve the following magnitude frequency response? Sketch the pole-zero plot in the complex z-plane. -Π -Tt/2 0 (b) [3 pts] Give an expression for the transfer function H(z). Justify your answer. (c) [2 pts] Write an expression...
2. Sketch the general shape of the root locus for each of the open-loop pole- zero plots shown in Figure P8.2. [Section: 8.4] s-plane x s-plane 10) jo x S-plane X s-plane
please help answer all the question and dont skip. Thank you! 1. Sketch the pole-zero diagram for the following transfer function. Ensure you label the axes and the pole-zero locations. Assume a > b > 0. TF(s) = (s + a) s(s+b) 2. If the time constant of the lowest frequency pole in a system is 1 second, after approx- imately what period of time following turn-on could the system be considered to be in steady-state conditions? 3. The PID...
3. Roughly sketch the root locus plots for the pole-zero maps as shown in the figure below. Show your estimates of the centroid α, angles of the asymptotes, and the root locus plot for positive values of the parameter K. Each pole-zero map is from a characteristic equation of the form: b(s) a(s) a) b) c) d) e)
Consider the following systems to explore the effects of an additional pole. (1) 762 +28 +9(8+1) (ii) (62 +25 +9)(0.18 +1) (ii) (62 +2s +9)(58 +1) (a) Sketch the pole locations of the systems above on the complex plane. Indicate which systems appear to have a dominant pole or poles. (3%) (b) For systems with a dominant pole or poles, sketch the approximate step response based on those dominant poles and your knowledge of first and second order responses. Clearly...
Consider three (causal) LTI systems, corresponding to transfer functions described (except for gain K) by the following pole-zero plots. Im Im ++j10 X - -100 - 10 Re -10 : 5 * +-j10 Pole-Zero Plot for System A Pole-Zero Plot for System B Pole-Zero Plot for System C In each part below, determine which of the three systems can meet the given specifications, including any implications on what value(s) the transfer function's gain K must be. (a) (10 points) The...
According to the zero-pole map, please sketch the amplitude response of the system. jo
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR second order filter with real coefficients, causal, stable and with unity AC gain. Its steady state response is required to be zero when the input is: xIn]cos [(T/3)n] u[n] H(z) R.O.C: answer: b) Find the frequency response for the previous filter. H(0) c) Sketch the magnitude frequency response. T/3 t/3 d) Find the filter impulse response. h[n] e) Verify that the steady state step...