EE421 Matlab Functions & Scripts

This page introduces and presents links to Matlab functions and scripts that are useful for this course. By clicking the link below a window will appear with the code for the mfiles. You can save this as a simple text file with the same function name (extension is always .m) directly with your web browser, or you can copy and paste into a text editor and save it as a text file. You can execute this function or script in Matlab provided the file is in your working directory or Matlab path.

Scripts

tutor.m is a tutorial script that introduces the basic Matlab syntax, functions, and operation, written by Kyle Dippery

rndroots.m is a script that plots the zero-input response for a 10-th order system, whose characteristic equation has real and distinct roots. Ten different responses are plotted. The coefficients and time constants are chosen randomly for each plot.

rnrroots.m is a script that plots the zero-input response for a 10-th order system, whose characteristic equation has real and repeated roots. Ten different responses are plotted. The coefficients and time constant are chosen randomly for each plot.

ccroots.m is a script that plots the zero-input response for a 10-th order system, whose characteristic equation has complex conjugate roots. Ten different responses are plotted. The coefficients and time constants are chosen randomly for each plot.

zinres.m is a script that solves for the zero-input response based in the characteristic equation and a set of initial conditions. This example has both real and complex modes, but no repeated modes.

clipdis.m is a script that harmonically constructs a clipped sine wave. You can change the number of harmonic components in script file and observed the resulting plot. The coefficients are plotted out and the total harmonic distortion is also given.

puldis2.m is a script that passes modulated squared pulses through a second order band-pass channel. The output pulses are plotted along with the originals so the nature of the distortion can be observed.

signoise.m is a script that generates white Gaussian noise and adds it to a sinusoid. SNRs of 2 and 1/4 are used. For both cases the signal plus noise spectrum is plotted along with the histogram of the noise and the time-domain signals.

tondet.m is a script that performs a Monte Carlo simulation to determine the probability of detection of a tone in white Gaussian Noise with a -3dB SNR.

hwhp.m is a script that computes and plots the output of a high-pass filter when the input is a half-rectified sine wave. Two cases are shown when the cut-off frequency is .5(fundamental frequency) and when the cut-off frequency is 4(fundamental frequency). A plot of the high-pass transfer function and input spectra are also given.

EE421 Matlab Functions & Scripts

Scripts

tutor.m is a tutorial script that introduces the basic Matlab syntax, functions, and operation, written by Kyle Dippery

rndroots.m is a script that plots the zero-input response for a 10-th order system, whose characteristic equation has real and distinct roots. Ten different responses are plotted. The coefficients and time constants are chosen randomly for each plot.

rnrroots.m is a script that plots the zero-input response for a 10-th order system, whose characteristic equation has real and repeated roots. Ten different responses are plotted. The coefficients and time constant are chosen randomly for each plot.

ccroots.m is a script that plots the zero-input response for a 10-th order system, whose characteristic equation has complex conjugate roots. Ten different responses are plotted. The coefficients and time constants are chosen randomly for each plot.

zinres.m is a script that solves for the zero-input response based in the characteristic equation and a set of initial conditions. This example has both real and complex modes, but no repeated modes.

clipdis.m is a script that harmonically constructs a clipped sine wave. You can change the number of harmonic components in script file and observed the resulting plot. The coefficients are plotted out and the total harmonic distortion is also given.

puldis2.m is a script that passes modulated squared pulses through a second order band-pass channel. The output pulses are plotted along with the originals so the nature of the distortion can be observed.

signoise.m is a script that generates white Gaussian noise and adds it to a sinusoid. SNRs of 2 and 1/4 are used. For both cases the signal plus noise spectrum is plotted along with the histogram of the noise and the time-domain signals.

tondet.m is a script that performs a Monte Carlo simulation to determine the probability of detection of a tone in white Gaussian Noise with a -3dB SNR.

Functions

sinc1.m The sinc function

sinc2.m The sinc function squared

rectw.m The rectangular pulse function

triw.m The triangular pulse function

unit.m The unit step function