1/ A fourth-order filter has zero transmission at ω = 0, ω = 2 rad/s, and ω =∞. The natural modes are –0.1 ± j0.8 and –0.1 ± j1.2. Find T(s).
A fourth-order filter has zero transmission at ω = 0, ω = 2 rad/s, and ω =∞. The natural modes are –0.1 ± j0.8 and –0.1 ± j1.2. Find T(s).
11-9 A third order low-pass filter has transmission zero at ?-2 rad/s and ? =oo. Its natural modes are at s =-1 and s =-0.5 ±j0.8. The DC gain is unity. Find T(s).
4. A third-order low-pass filter has transmission zeros = 2 rad/s and w= .. Its natural modes (poles) are at s= -1 and -0.54j0.8. The dc gain is unity. Find T(S). Also draw probable bode plot T(s).
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the transfer function T(s) and sketch Bode plots for the magnitude and phase, ˇ 1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω=...
. Consider the circuit below. If Vs-Vincos(ot), show that 2 =-1+ jc0C, R, . Plot Vo, as in function of ω for 0<ω< 10 rad/s if Rs-1kQ, Rf-10 kQ, and CF-0.1 mF. What does this circuit do? CF Rf Vo Rs This is an example of an ACTIVE FILTER because this circuit can amplify as well as filter an input signal. . Consider the circuit below. If Vs-Vincos(ot), show that 2 =-1+ jc0C, R, . Plot Vo, as in function...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Show the system transfer function H(s) (2) Design an IIR digital filter Hz) that corresponds to the above H(s) by using the bilinear transform method without prewarping with T 0.1 second. Show the system transfer function Hz) and find its corresponding digital cut-off frequency Be approximately (3) What is...
A system has the following details: w0.67 rad/s 21.67 rad/s xr72 x(i) 2-20 Part A -Modes of Vibration Find the ratio rı (correct to two decimal places) Submit Request Answer Part B - Modes of Vibration Find the ratio r2 (correct to two decimal places) T2 A system has the following details: w0.67 rad/s 21.67 rad/s xr72 x(i) 2-20 Part A -Modes of Vibration Find the ratio rı (correct to two decimal places) Submit Request Answer Part B - Modes...
1.The filter coefficients of a second-order digital IIR filter are: a0 = 1, a1 = -2, a2 = 2, b0 = 1, b1 = 1/2, b2 = 1/8. (a's are numerator coefficents and b's are the denominator coefficients). Compute the magnitude response |H(ejω)| where ω = 5.174 rad/sec. 2. It is desired to extract a constant signal s(n)= s from the noisy measured signal x(n)= s(n)+v(n)= s + v(n), where v(n) is zero-mean white Gaussian noise of variance ϭv2. For...
Angular velocity (in rad/s) of a disc under varying force is given as ω = 2 t2 - 3 t + 10 Find the angular acceleration at t=4.0 seconds. Find the angular displacement between t=0 and t=4 seconds.
1. a. Design a bandstop filter with a cutoff frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s b. Confirm by plotting the magnitude & phase of the transfer function. 2. Design a 5th order low pass butterworth filter with wc = 1 rad/s. Use this equation for both problems. (jo) (jo)
Problem4: 25 Ω b 1 = 0, T 80 Ω a 100 Ω + + + 100 V 240 Ω υο 80 μF 275 V Υ 16 mH (b) Find Il(s). Find i(t). (c) Find the zero-input and the zero-state components of iz(t) for t > 0.