Fourier Series Flashcards
How do we visualize a Wave form?
Oscilloscope (graphical
display of V(t))
Frequency Analysis
Building a waveform from the superposition of sine waves is called
Fourier Synthesis
A plot of the frequencies, and corresponding amplitudes, is called a
Fourier Spectrum
Information from a Fourier spectrum can be used to_______a desired waveform
synthesize
the lowest frequency present is called the
fundamental
Higher frequencies, when present, are called
overtones
if they overtones are integer
multiples of the fundamental, they are called
harmonics
What is Fourier Analysis?
Reverse of Fourier synthesis;
determining the amplitudes and
frequency content of a waveform
*This is usually done with a computer
Note that with a single term in the
Fourier series, e.g., f = sin(x), there’s no
obvious start or end to the waveform,
but a__________.
very specific frequency
With a_________ wave, however, there’s a
clear edge, but that requires many terms
to add up multiple frequencies
square
What is the Uncertainty Principle?
there’s no obvious start or end to the waveform,
but a very specific frequency.
there’s a trade-off between how well you can know when a sound occurs and how well you can know the frequency
What is a Spectrogram (sonographs)
A way to visualize the frequency
spectrum of sound as a function of time
Sine waves have a _______ frequency/
single
