Fourier java applets and
animations
related topic: Fourier (mathematics) 
Applets séries de Fourier
en Français 
Convolution
convolution is the term given to the mathematical technique for determining a
system output given an input signal and the system impulse response 
Digital Signal
Processing Tools Digital Signal Processing Tools 
Discrete Fourier
transform 
FFT of
Arbitrary Function
This applet lets you enter an arbitrary function and
compute its Fourier coefficients. It shows how the resulting Fourier series
approximates the original function 
FFT
spectrum analyser demo applet 
FFT Applet
(Discrete) Fast Fourier Transform (dFFT), This applet lets you enter an
arbitrary function and decompose it into its Fourier coefficients 
Fourier analysis and signal filtering 
Fourier
decomposition
building a wave shape from sines and cosines, Fourier composition of a square wave, Fourier composition of a traingle wave,
Fourier composition of a sawtooth wave, Fourier composition of a pulse train 
Fourier
demonstration 
Fourier Making
Waves
Learn how to make waves of all different shapes by adding up sines or cosines.
Make waves in space and time and measure their wavelengths and periods. See how
changing the amplitudes of different harmonics changes the waves. Compare
different mathematical expressions for your waves 
Fourier series A periodic signal can be described by a Fourier decomposition
as a Fourier series, i. e. as a sum of sinusoidal and cosinusoidal oscillations.
By reversing this procedure a periodic signal can be generated by superimposing
sinusoidal and cosinusoidal waves 
Fourier series 
Fourier series 
Fourier series 
Fourier series 
Fourier series
approximation A Java applet that displays Fourier series approximations and
corresponding magnitude and phase spectra of a periodic continuoustime signal.
Select from provided signals, or draw a signal with the mouse 
Fourier series
approximation Fourier series approximation 
Fourier series applet
a method of expressing an arbitrary periodic function as a sum of cosine terms.
In other words, Fourier series can be used to express a function in terms of the
frequencies (harmonics) it is composed of 
Fourier series applet
Fourier series applet, This demonstration illustrates the use of Fourier series
to represent functions 
Fourier series applet
This java applet demonstrates Fourier series, which is a method of expressing an
arbitrary periodic function as a sum of cosine terms 
Fourier series examples
Fourier series examples 
Fourier Series: FullWave Rectification
Here, a sine function is fullwave rectified, meaning that the wave becomes
positive wherever it would be negative. This creates a new wave with double the
frequency. You can see that after rectification, the fundamental frequency is
eliminated, and all the even harmonics are present 
Fourier Series: Sawtooth Wave Fourier Series: Sawtooth Wave 
Fourier series
to Fourier transform tool using this tool you can select a variety of
periodic signals 
Fourier synthesis
a periodic signal can be described by a Fourier decomposition as a Fourier
series, i. e. as a sum of sinusoidal and cosinusoidal oscillations. By reversing
this procedure a periodic signal can be generated by superimposing sinusoidal
and cosinusoidal waves 
Fourier synthesis 
Fourier synthesis 
Fourier synthesis 
Fourier transforms
the Fourier transform defines a relationship between a signal in the time domain
and its representation in the frequency domain. Being a transform, no
information is created or lost in the process, so the original signal can be
recovered from knowing the Fourier transform, and vice versa 
Fourier Transforms of Sound
Fourier transforms
The theorem states that any single valued, periodic function f(t) which is
continuous or has a finite number of discontinuities 
Fresnel et décomposition de Fourier 
FullWave Rectification
of Sawtooth FullWave Rectification of Sawtooth 
Generating pulses
this applet shows the huge number of harmonics of the pulse repetition frequency
that are necessary to reproduce a low dutycycle pulse train. Practically
speaking, this shows that if you want to amplify a very low dutycycle pulse
train, you need an amplifier with large bandwidth. Notice that with a duty cycle
of 10%, it takes more than ten harmonics to produce a good pulse 
JDSP editor 
Listen to Fourier
series needs real audio player 
Listen to Fourier
series 
Oscilloscope and spectrum analyzer
Oscilloscope and
spectrum analyzer measurement 
Rotating
phasors 
Séries de Fourier
en Français 
Séries de Fourier
en Français 
Sound generator 
Sound wave
approximation The following functions give successive approximations to the
displacement curve for a single tone played on a organ pipe 
Square wave approximation
This applet plots a square wave function with period one along with an
approximating trigonometric series 
Synthèse de Fourier
en Français 
Synthesizer 
Trigonometric
Series Applet 
Horizontaal 

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