Signals and Systems Notes

• complex numbers
• CT functions
• convolution
• convolution tests
• beats

RC Circuit

Download RC.zip (MATLAB code)

• exponential decay
• charging a capacitor
• phase shift

Fourier Series

Download MATLAB source

• Orthogonality of sines/cosines
• Fourier series examples (square wave, sawtooth wave, triangle wave)
• Gibb's Phenomenon
• Fourier series - triangle wave
• Fourier series - cosine wave (frequency leakage)
• Examples (trigonometric vs. exponential series, mean-square-error calculation)
• Show Fourier series reconstruction.

  The work is done by fseries.m.

Fourier Transform

Download MATLAB source

• Motivation

  The Fourier transform is limit of Fourier series as period T becomes infinite.

• Show a function and its Fourier transform

  The work is done by fourier.m

Music

• Piano Keyboard
• Envelope of a Musical Note
• Chords
• Instrument harmonics (playing A4)

Film Music

Download MATLAB source

• RLC Circuits (step response)

Nodal Analysis

I have written a MATLAB script that parses SPICE-like netlist files and generates a matrix equation for a linear circuit (using modified nodal analysis). The full power of the script requires the use of the Symbolic Toolbox which is not currently part of the Student MATLAB package.

Download MATLAB source

• RC filters
• Operational Amplifier circuits
• Active filters
• web links for Sallen-Key filter
• Roberts Example 6.2

See some of my notes on nodal analysis for more information.

Analog Filter Design with MATLAB

Download MATLAB source.

• Analog Filter Prototypes
• Filter-type conversions
• Butterworth filters

Filtering using MATLAB and Fourier Transform

Download MATLAB source.

• Example

Sampling

Download MATLAB source.

• FT of sampled function
• aliasing

Maintained by John Loomis, last updated 2 April 2009