I (K Pole-Zero Plot #1 Pole-Eero Plot 15 L. Pole-Zero Plot IMI 4z1 15 Prde-Zero Plot...
5. The diagram function Ha) oco.s on the let shows the pole-zero plot of the transfer a DT LTI systen Assume that the pole is at a dista the from theorigin and that the zero not at the origin is a origin. a) Write a mathematical expressio n for the tr the impulse response of the sy from t , inction of the system. b) Obtain assuming that it is UNSTABLE (15 pts.)
III.(6 pts.) A system is defined the following pole zero plot, where H(0)-10. a) Find the step response of the system.< Note: step response, not impulse response. b) (+3) Find the output, y(). when the input is x()-8(0)-e) H(O) 10 -1 -2 III.(6 pts.) A system is defined the following pole zero plot, where H(0)-10. a) Find the step response of the system.
Below is the zero and poles plot of a system. What is the magnitude response of this system? Pole/Zero Plot 0.5 0 0.5 0.5 0 Real Part 0.5 H(J) : (exp(2*90i*theta)-2"exp(%itthet exp(2-i.6)-2 exp(i-0)+2 exp(2 i.)-exp(i.0)+0.5 Your last answer was interpreted as follows: CHR The variables found in your answer were: [e] Incorrect answer. Below is the zero and poles plot of a system. What is the magnitude response of this system? Pole/Zero Plot 0.5 0 0.5 0.5 0 Real Part...
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...
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...
Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. Topics: Filter Design, Effective Time Constant Design a causal 2nd order, normalized, stable Peak Filter centered at fo 1000Hz. Use only two conjugate poles and two zeros at the origin. The system is to be sampled at Fs- 8000Hz. The duration of the transient should be as close as possible to teft 7.5 ms. The transient is assumed to end when the largest pole elevated...
6. [10!] An LTI system has an impulse response hin] for which the z-transform is Homework#6, Ve216 Spring 2018 ue (a) [5] Plot the pole-zero pattern for H(z). (b) [5!] Using the fact that signals of the form 2" are eigenfunctions of LTI systems, determin the system output for all n if the input r[n] is
no need for pole-zero plot 7. Determine the system function, magnitude response, and phase response of the fol- lowing systems and use the pole-zero pattern to explain the shape of their magnitude response (a) y[n] = 1(x(n]-x(n-1), ln -2
2. Consider the pole-zero plot of a transfer function H(s) given in Figure P14.2. (a) If the dc gain is -10, find HG). (b) Compute the impulse response. (c) Compute the step response. CHECK: Your answer to (b) should be the derivative of your answer to (c), since the delta function is the derivative of the step function. (d) If the input is 10 ), find the pos- itive number a such that the response does not have a term...
a low-pass Butterworth filter ,with the following specifications:N = 2 and 0.9 <= |H(ejw)|^2 <= 1 for 0 <= w <= 0.2pi using impulse invariance . magnitude plot, and a pole/zero plot.