MATLAB Simulation Code: Frequency & Phase Response of Quantum Well Laser

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SUMMARY

The discussion focuses on creating a MATLAB simulation code to display the frequency and phase response of a quantum well laser. Key concepts include the importance of frequency response in characterizing system behavior in the frequency domain, particularly for applications like filter design. The transfer function is evaluated at specific frequencies, and MATLAB commands are provided to plot the magnitude and phase responses using defined vectors for polynomial coefficients. The example code includes defining vectors b and a, and using the 'freqs' function to visualize the results.

PREREQUISITES
  • Understanding of frequency response and transfer functions
  • Familiarity with MATLAB programming
  • Knowledge of polynomial coefficients in system representation
  • Basic concepts of quantum well lasers
NEXT STEPS
  • Learn MATLAB's 'freqs' function for frequency response analysis
  • Explore advanced plotting techniques in MATLAB for better visualization
  • Study the principles of quantum well laser operation and characteristics
  • Investigate filter design methodologies using frequency response
USEFUL FOR

This discussion is beneficial for electrical engineers, MATLAB users, and researchers focused on quantum well lasers and frequency response analysis in systems.

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hi all, this is fayez. is there anyone who can send me a MATLAB simulation code? the code displays the frequency and phase response of quantum well laser. or pls instruct me about how to do it. pls help me out.
 
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Plotting the Frequency Response Using MATLAB

The frequency response of a system is the major way of characterizing how a system behaves in the frequency domain. It is important to understand the frequency characteristics of a given system rather than time domain characteristics alone for many practical applications like filter design.

The frequency response of a system, is just the transfer function, evaluated at . Frequency response is usually a complex valued function, so it can be written as , where is the magnitude response and is the phase response. You can use MATLAB to plot the magnitude and phase responses as follows:

Example: , to plot magnitude and phase responses use the following command lines. Define two vectors b and a where b is the coefficients of the polynomial in the numerator, and a is the coefficients of the polynomial in the numerator.
Note that they have to be the same length and start with the coefficient of the highest order term. Then define w as the vector of frequencies over which you want to plot the magnitude and phase responses.

>> b=[0 1 -1];
>> a=[1 8 8];
>> w=[0:.1:2*pi];
>> freqs(b,a,w)


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