Determine an expression for the transfer function, MATLAB Programming

The circuit diagram of an active filter is shown below.

(a) Determine an expression for the transfer function of the filter.

(b) Hence find an expression for the frequency response of the filter.

(c) Calculate the ratio R1/R2 when low-frequency gain of the filter is 40 dB.

(d) Calculate R and C such that the break frequency on the Bode plot occurs at w0 = 500rad/s, (suggest commercially available values).

(e) For the values of the components obtained in parts (c) and (d) simplify the transfer function of the filter.

(f) Hence, using inverse Laplace transform, find h(t), the unit impulse response of the system.

(g) If the input to the filter is vi(t)=10e-100t find an expression for the output of the system.

(h) For the input vi(t)=1/√2 cosθ, obtain an expression for the steady-state sinusoidal response of the filter. 

1176_steady-state.png

Practical work

1.  Invoke MATLAB.

2.  The enclosed m-file is a MATLAB program that simulates the above problem.  In a new m-file type in the entire commands in the m-file

3.  Save the m-file, giving it a suitable file name.

4.  In MATLAB command window execute the program by typing its file name.

5.  If you have made no typing error(s), you should obtain a plot of the Magnitude and the Phase of the Frequency Response of the filter.

6.  Use the Bode plot for the magnitude and phase of the frequency response and measure and calculate the gain and phase for the input signal vi(t) = 1/√2 cos(500t), hence (i.e. using these measured values) write down an expression for the output of the filter.

7.  Verify that your measurements from the plots are in agreement with what you have found theoretically.  Comment with reason(s) if they do not agree.

8.  If the input to the filter is vi(t) =3 sin(2000 t), then what is an estimated expression for the output of the filter?  Write it down and explain how you came up with this answer.

Posted Date: 3/12/2013 1:05:07 AM | Location : United States







Related Discussions:- Determine an expression for the transfer function, Assignment Help, Ask Question on Determine an expression for the transfer function, Get Answer, Expert's Help, Determine an expression for the transfer function Discussions

Write discussion on Determine an expression for the transfer function
Your posts are moderated
Related Questions
Printing Vectors and Matrices: For vector, if the conversion character and newline character are in the format string, it will print in a column in spite of of whether the vec


I need my data mining assignment done. Can you guys help me with that?

Illustration of Output statements: For illustration, >> disp('Hello') Hello >> disp(4^3)   64 The formatted output can be printed to the screen by using the fpr


how to reverse the digits of positive number by using mod function?

MATLAB. • MATLAB Programming; • Simulation in MATLAB.

Variables and Assignment Statements: A variable is used in order to store a value in a MATLAB session, or in a program. The Workspace Window represents variables which have be

draw midpoint circle by matlab

Implement a single-layer perceptron and train it to translate the digital letters given in the file "pattern1" into the corresponding ASCII representation. Plot a training curve an