Hello,
Please find the answer attached as under. Please give a thumbs up rating if you find the answer useful!
Have a rocking day ahead!
The analog frequency equivalent of the filter is 2000*2pi/0.5pi = 8000Hz.
The filter is designed using Matlab:
Fpass = 2000;
Fstop = 2000/5;
Apass = 99;
Astop = 95;
Fs = 8e3;
d = designfilt('highpassfir', ...
'PassbandFrequency',Fpass,'StopbandFrequency',Fstop, ...
'PassbandRipple',Apass,'StopbandAttenuation',Astop, ...
'DesignMethod','equiripple','SampleRate',Fs);
fvtool(d)
Output:
The filter coefficients (and the difference equation coefficients) are as follows:
>> b = d.Coefficients
b =
Columns 1 through 10
-0.0025 -0.0316 0.1355 -0.0868 -0.3065 0.5836 -0.3065 -0.0868 0.1355 -0.0316
Column 11
-0.0025
The filter is a stable filter
*****************************************************************
PS: Please do not forget the thumbs up
1. (30 points) Design a high-pass filter that has an wg = 0.17, Wp = 0.57,...
I. QUESTION A mapping that can be utilized to design a digital high-pass filter via an analog low-pass filter prototype is 1+z-1 1-2-1° S=- 1) Show that the imaginary axis in the s-plane maps to the unit circle in the 2-plane via this mapping. Hint. Use z = rejw and s = 0 + j12. 2) Show that the left-hand side of the imaginary axis in the s-plane maps to the interior of the unit circle in the z-plane via...
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.
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.
For the low-pass filter circuit shown in Fig 2 3k Ω 200mil in out Fig 2 3.a. Use a 2.2nF capacitor to design a high-pass filter to have a cutoff frequency of Skn Draw a schematic of your design. Show all component values and voltages c. Sketch the frequency response of the voltage gain and phase shift Magnitude dB Frequency Hz Phase Frequency Hz For the low-pass filter circuit shown in Fig 2 3k Ω 200mil in out Fig 2...
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) Design a low-pass filter using the given circuitry with a cut-off value of 1 kHz and plot the frequency response curve on the given axes 1.0 0.7 0.5 in out 0.0 101 102 103 104 10s Hz b) Design a band-pass filter using the given circuitry with a bandwidth of 500 Hz and a lower cut-off value of 100 Hz, and draw the frequency response curve. Keep all resistors at the same value (i.e. Ri-R-R3-R4). 1.0 0.7 0.5 0.0...
4. Design a second order Butterworth high-pass fiter having a cut-off frequency at 800 Hz. a. Determine the frequency response function, H() or H(a), of the filter b. Show the circuit and the procedure to determine all resistor values.
Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200Hz. The sampling frequency is 10kHz. 1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
Question 2. (25 marks) Design a discrete time low-pass IIR filter operating at a sampling rate of 8 kHz such that its magnitude response is monotonic (i.e., smooth with no ripples) and satisfies the following conditions (i) The magnitude response has an attenuation of at least 20dB at 2000 Hz (ii) The magnitude response has an attenuation of at most 2dB at 1000 Hz Determine the transfer function, H(z) A. 120 Marks] sketch the Direct Form II structure of the...
4. (20 points) An ideal analog integrator is described by the system function: H(s) 1) Design a discrete-time "integrator" using the bilinear transformation with Ts 2 sec. t is the difference equation relating xin) to yin) thint: divide top and bottom of H(Z) by ) 3) Determine the unit sample (impulse) response of the digital fite. 4) Assuming a sampling frequency of 0.5 Hz, use the impulse invariance method to find an approximation for Hz). Hint: Inverse Laplace Transform of...