This part of the tutorial demonstrates the Fourier transform operation in a few cases of periodic and non-periodic signals, such as an AM signal, an FM signal, a rectangular non repetitive signal and a cardinal sine signal. The last slide contains an application to the scaling property of the Fourier transform on a non-repetitive time signal. It actually shows thatContinue Reading

The previous sections explains the creation of a discrete Fourier transform model in Excel. This section and the following one will use the model to calculate and chart the Fourier transform in several cases of periodic and non-periodic signals. [sociallocker][/sociallocker] A Fourier Transform Model in Excel, part #4 by George Lungu – This is a tutorial about the implementation ofContinue Reading

The previous sections of the tutorial handled the basic formulas behind building a Fourier model and creating a set of input functions. This section deals with formula implementation on the spreadsheet, the brief VBA code and the charting of the Fourier transform components. [sociallocker][/sociallocker] A Fourier Transform Model in Excel #3 by George Lungu – This is a tutorial aboutContinue Reading

Hi folks, as a continuation to the previous tutorial here is a 3-body planetary model where the solution to the equations is contained in a static form, as a lookup table (I previously called it a “pure spreadsheet solution”). The model is static in the sense that after any parameter is changed, the solution data remains unchanged in a table until a new parameter is updated by theContinue Reading

Here is a tutorial explaining how to model a two dimensional  2-body planetary system in Excel. It uses the Euler method of integration. The tutorial starts with explaining the simple Newtonian laws acting on the two planets. There are essentially just two forces acting on each body at any time: the inertia and the gravitational attraction. During each small time step,Continue Reading

Hi there, this is a tutorial explaining the construction of a very basic Lissajous emulator in Excel. It’s supposed to be very easy to understand at the high school level. Good luck, George [sociallocker][/sociallocker] A Lissajous emulator in Excel by George Lungu   Introduction: Jules A. Lissajous was a French mathematician from the 19th century – He wanted to visualizeContinue Reading

This is a static Lissajous emulator in the sense that the waveform is obtained by combining 2 static sinusoidal waves with different frequencies. As a parenthesis, I will be preparing a dynamic version which will look just like the wave shape seen on a real oscilloscope. The file presented here has two different worksheets, the first one contains a classic 2DContinue Reading

This is a basic pendulum model in Excel. Enjoy! [sociallocker][/sociallocker] This is an animated Excel model of a pendulum that you can download here. For fast modeling speed, please use older versions of excel (1997-2003). In the following section, background information about pendulums in general will be presented: Pendulum meaning, a simple pendulum definition, what is a pendulum? A pendulumContinue Reading