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We wish to implement an IIR filter with poles at z = +1,- and zeros at z = 2.-3. Assume that each real multiplier takes Tm = 2 ns and each 2-input real adder takes Ta = 1 ns to complete. In the following, no complex multipliers or adders are to be used. (a) Write down the transfer function H() of this IIR filter in terms of first and second order terms with real-valued coefficients. (b) Sketch the block diagrams...
5) For the Bode-Diagram shown below, assume none of the poles or zeros are on the right hand side of s-plane. Vertical axis is in dB and the horizontal axis is on Log scale. Write the equation for the transfer function in s-domain. 20Log| GGo Odb/dec 2db -20db/dec 20db/dec Odb/dec -40db/dec 4 50 200 500
4. Determine the transfer function, poles and zeros, and stability of the system represented by the following difference equation: y[n] = -1.5y[n-1] + y[n-2] + x[n] Answers:H[z]= 1/(1+(1.5z^-1) - (z^-2)); poles at z = -2, 0, 5; zeros at z=0; unstable
3. (10 pts) Find the poles and zeros of the following function
and sketch them in an s-plane.
?(?) = 6?? + 7? + 2
6(?? + 9? + 14)(2? + 1)
3. (10 pts) Find the poles and zeros of the following function and sketch them in an s-plane. 6s2 + 7s + 2 H(S) 6(52 + 9 + 14)(2s + 1)
2. [30%] For the following function, classify the poles and zeros, and draw the magnitude Bode plot based on the asymptotes. (S+6) ($+3)(2 +63 +18)
Please solve clearly and understandably.
a. Find the poles and zeros of the impedance seen looking into the terminals a and b of the given circuit. 1H
. [20%] Using the definition, compute the z-Transform, and find and sketch the poles and zeros of X/e] in the z-plane for the following signal. atul-(o2)+(09)
1. What are the poles and zeros of G(s) ? Is the system stable? Explain. -flu 10. What are the poles of the following state space system? dt 15. G()(in(3t); what is system steady state response yss )-? x(s) (s+3)
(1) Plot the poles and zeros of the following transfer functions. Also, identify if the transfer function represents a stable system. (15) (s+2)(s-5) (s-4)(s²+6s)(s²+9) a. s(s+4)(s+7) b. (s+1)(s+7)(s+9) (s+2)(s+3)(s²+25) (s3+13s2+42s)(s+1)(s²+8s+16) C. (2) Draw the fre meney raenoncafor the Cllawing tane fnetiene
Compute the poles and zeros of each of the filters given in problem 4. Which filters are stable? 4a) H(z) = 1/1 + z-3 4b) H(z) = (1+3z-1+2z-2)/(1-z-1) *I understand that a system is stable if all poles are strictly inside the unit circle, and unstable if any are outside the unit circle. If a pole is ON the unit circle or the boundary of the unit circle like 1 or -1, would that make it stable or unstable? *I...