# 4.1 Guitar distortion: basic concepts

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In this module, we discuss the ideas behind distortion.

In trying to mimic an amplifier, one fact must be forefront in our brains: distortion is almost always nonlinear! Therefore, instead of looking directly to convolution and linear transforms, we have to think a little bitfirst. The first place we can look at is the Taylor series.

## Taylor series

In calculus, we learned about the Taylor Expansion and the Taylor Series , also known as the McLaurin Series . In essence, the expansion follows .

$f(x)=\sum_{n=0}$ n f x 0 n x x 0 n
The Taylor Series is used to approximate a function. As we know from the concepts behind signals, all signals arefunctions, and therefore we can use the Taylor Series to approximate a signal. As we add more and more into theseries, the approximation becomes closer and closer to the orginal signal. However, for distortion, we do not want the original signal; instead, we want something grindy, something swanky to excite all of therock-and-rollers out there.

## The dft and the fft

Another idea used in analyzing distortion is the DFT. Before and after using the Taylor Series to "play around" with thesignal, the DFT can be used to analyze the new (or old) sound, seeing which harmonics are the most important. MATLAB has awonderful FFT function that allows for simple and fast DFT calculation.

what is the stm
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scanning tunneling microscope
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write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
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biomolecules are e building blocks of every organics and inorganic materials.
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research.net
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sciencedirect big data base
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Introduction about quantum dots in nanotechnology
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fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
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That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
how did you get the value of 2000N.What calculations are needed to arrive at it
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