Spectral Analysis – a Fourier transform tutorial – part #5

April 8, 2011

This part of the tutorial demonstrates the Fourier transform operation in a few cases of periodic and aperiodic signals, such as an AM signal, an FM signal, a rectangular nonrepetitive signal and a cardinal sinus signal. The last slide contains an application to the scaling property of the Fourier transform on a nonrepetitive time signal. It actually shows that spreading a signal in the time domain shrinks its spectrum and…


Spectral Analysis – a Fourier transform tutorial – part #1

March 28, 2011

This is a basic tutorial about implementation of a standard Fourier transform model in Excel. It is not an introduction to Fourier analyis. You could choose to familiarize yourself with the subject before proceeding with this tutorial. Solving a few Fourier transform excersises would be of help too. Essentially, this part shows you how to adapt the general Fourier formula for a continuous real signal to a sampled signal having a limited number of samples.


How to Model a Phase-Locked Loop (PLL) in Excel – part#3

March 13, 2011

This is a continuation of the PLL series of tutorials and it takes the recursive numerical formulas derived in the previous section, implementing a dynamic spreadsheet  model with help from a copy-paste loop type of macro. This macro emulates the behavior of the phase locked loop model in time. At this point, the model is functional. Charting options for the waveforms will be discussed in the following section.