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Design an analog Butterworth low pass filter of order 5 with cutoff frequency 2kHz Use the‘s’ option for the butter command

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

EEE304 Lab 1 Answer Sheet

Lab Description

Write a paragraph explaining what you have learned from this lab exercise.

 Task 1

Using the tf command, design an analog low-pass filter with cutoff frequency 2kHz and of order 1.

a)       Provide the transfer function.

b)       Plot the step response of this filter.

c)       Plot the Bode frequency response of this filter.

d)       Include the MATLAB code.

Task 2

Design a 1st order low-pass filter with cutoff frequency 2kHz and of order 2 

a)       Provide the transfer function.

b)       Plot the step response of these filters.

c)       Plot the Bode frequency response of these filters.

d)       Compare the step and frequency responses of these two filters.

e)       Include the MATLAB code. 

To compare the responses of two filters, use step (SYS1, SYS2) and bode (SYS1, SYS2), and a legend command to distinguish the two lines on a single figure.

Task 3

Design an analog Butterworth low-pass filter of order 5 with cutoff frequency 2kHz. Use the‘s’ option for the butter command.

a)       Provide the transfer function.

b)       Plot the step response of this filter.

c)       Plot the Bode frequency response of this filter.

d)       Compare the step and frequency responses of this filter with the filter in Task 2.

e)       Include the MATLAB code.

Task 4

Build a SIMULINK model to filter a signal x(t) = 2 sin(2π*300) + sin(2π*31413), for a 0.01-second time interval. Use the Butterworth filter you designed in Task 3.

a)       Include screenshot of your SIMULINK block diagram.

b)       Include screenshot of the original signal and the filtered signal shown on the scope block.

c)       Discuss your observations.

 

In order to successfully complete this task you will need to change the simulation configuration parameters as shown in the figure below

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