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4. A third-order low-pass filter has transmission zeros = 2 rad/s and w= .. Its natural...
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).
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).
Design a lowpass filter, with cutoff frequencỵ 14 16 rad s w. The maximum gain of the filter should be A 17.46 dB, and the filter gain at angularfrequencỵws 3519 rad should be no more than As -21.99 dB. a) Give a detailed analytical solution, leading to your filter order, and circuit parameters Sketchan approximate bode plot of your filter's frequency response, using a straight line approxi- mation Can you solve the problem? I think its 3th order if im...
2. By applying Bode plot approximations, sketch the response of each filter, and hence complete the Table below. Filter Type Order Cut-off Frequency High Passsecond 120kHz Low Pass fourth 2250Hz 400Hz Gain in Stop Band Pass-Band Gain OdB Gain at 15kHz Gain at 18kHz = ? Gain at 50Hz-18dB Gain at 15Hz = ? Gain at 64kHz ? Gain -60dB at 50kH:z 6dB OdB OdB High Pass Band Pass fourth 60Hz, 4kHz 12dB Low Pass sixth 1?
2. By applying...
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=...
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros. B) Sketch the Bode plots for the magnitude and phase of the function. C) From the plot estimate the gain and phase at 1000 rad/s and compare to actual calculated values.
own in the following figure. 1- A certain low-pass filter has the Bode diagram sh (a) How many dB down is the filter at 5000 rad/s? (b) Estimate where the cutoff frequency occurs, then determine how many dB down is the r at one decade after the cutoff frequency? T(jo)l 20 0.2 o (rad/s) 0.02 1000 500010000 100 10
For the circuit shown below find the frequency response 𝐻(𝑗𝜔) =
𝑉𝑜(𝑗𝜔)
𝑉𝑖
(𝑗𝜔)
.
(b) Plot the Bode diagram (magnitude only) and verify that the circuit acts as a second-order low-pass
filter with gain of 1 and cutoff frequency of 1 rad/s (Assume that op-amps are ideal).
(c) Use the circuit in part (a) as a prototype filter to design a second-order low-pass filter with cut-off
frequency of 10KHz and gain of 20dB. Use as many 10KΩ resistors as...
Using filterDesigner in MATLAB, design a second order low pass IIR Butterworth filter whose sampling frequency (Fs) is 1 kHz and cutoff frequency (Fc) is 10 Hz. Find the numerator and denominator coefficients. Write its transfer function H(z) = Y(z) / X(z). Write its difference function y(k). Draw (copy from Filter Designer) the magnitude response plot. Draw (copy from Filter Designer) the phase response plot. Draw (copy from Filter Designer) the impulse response plot.
Determine the transfer function for a 2nd order Chebyshev low pass filter with 3dB frequency of 100krad/sec, a maximum gain of OdB, and a passband ripple of 1dB. (40 points) (a) (b) A bandpass filter is made by cascading the filter described in part (a) with a 2nd order Chebyshev high pass filter with 3dB frequency of 1krad/sec, a maximum gain of OdB and passband ripple of 2dB. Determine the midband gain of the filter. (30 points) A Chebyshev bandpass...