A new version available now on the App Store for iPad & iPhone


The Fourier Synthesiser allows students, engineers and musicians to study quantitatively the Fourier components of periodic waveforms.


Real-time superposition of harmonically related sinusoids upto the 99th harmonic can be viewed with the built in Time Domain display or alternatively viewed on an Oscilloscope connected to the audio stereo output. Those musically inclined can choose to listen to any two sinusoids or the sum of all selected sinusoids.


Designed for undergraduate teaching in the Department of Electrical Engineering & Electronics at The University of Liverpool.



Select Sine and Cosine from fundamental to the 99th harmonic

See how convergence to the ideal improves with more components

Fundamental frequency adjustable from 50Hz to 1kHz - coming soon

Individually control amplitude and On/Off state of each harmonic

DC term available on iPad, iPhone display

Select from a range of 10 preset waveforms

Square, Triangle, Sawtooth, Amplitude Modulation, Impulse, Half and Full Wave Rectification

Use the full range of Swipe, Tap, Pinch, Press & Hold Gestures

Tap harmonic component to toggle On or Off

Scroll up or down to set amplitude of each harmonic component

Swipe left/right to undo/redo

Tap Coefficient Button to change to Sine or Cosine

Tap 'Coefficient Button' for keyboard input

Long Press anywhere to 'unlock' coefficient

​Long Press any coefficient to lock

​Long Press + Drag selects and locks highlighted coefficient
left/right - coarse, up/down - fine  


Tap Time Domain display to toggle channel 1 On or Off

Scroll (pan) left/right - X shift (horizontal position)

Scroll (pan) up/down - Y Shift (vertical position)

​Long Press + Drag left/right to change Timebase

​Long Press + Drag up/down to change Y gain

Fourier Synthesiser