Determine an expression for the transfer function, MATLAB Programming

Assignment Help:

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.


Related Discussions:- Determine an expression for the transfer function

Calculate displacement using indefinite integrals, Problem: A function ...

Problem: A function is given by Y= 2x3 + 3 x2 -12x + 5 a determine the finite values of x at which any local maximum of minimum occur and determine the corresponding val

Obtain the input - algorithms, Obtain the input - Algorithms: From whe...

Obtain the input - Algorithms: From where does the input come? The two possible choices would be from an external file on a disk, or from the user, who enters the number by ty

3-A-Day, Savannah says that the least common multiple of 4 and 6 is 24. Is ...

Savannah says that the least common multiple of 4 and 6 is 24. Is she right or what is her mistake?

Transportation problem, I want codding in matlab for vogel approximation me...

I want codding in matlab for vogel approximation method . i mean .M file for vogels approximation method.

Compute a reasonable vector for lower bound and upper bond, You are a quant...

You are a quant analyst reporting directly to a portfolio manager. Your manager requires you to generate a simple code to compute several statistics for the following potential por

Write a matlab program, Write a MATLAB program (using/making the necessary ...

Write a MATLAB program (using/making the necessary functions that you deem necessary) that does the two following jobs: It generates the following digital modulation schemes. In

Base o absorptoin system, plase help me to convert a theory part of ammonia...

plase help me to convert a theory part of ammonia-vapour simple absorption system into matlab programmong

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd