# Dsp00100-periodic motion and sinusoids

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Baldwin kicks off a new miniseries on DSP. He discusses periodic motion and sinusoids. He introduces time series analysis, sine and cosine functions, and frequency decomposition. He discusses composition, and provides examples for square and triangular waveforms.

Revised: Fri Oct 16 23:09:45 CDT 2015

## Preface

This module is the first in a series of modules designed to teach you about Digital Signal Processing (DSP) using Java. The purpose of theminiseries is to present the concepts of DSP in a way that can be understood by persons having no prior DSP experience. However, some experience in Javaprogramming would be useful. Whenever it is necessary for me to write a program to illustrate a point, I will write it in Java.

## Viewing tip

I recommend that you open another copy of this module in a separate browser window and use the following links to easily find and view the Figures while you are reading about them.

## Figures

• Figure 1 . A sinusoidal function.
• Figure 2 . Complex harmonic motion.
• Figure 3 . Separate cosine and sine functions.
• Figure 4 . Sinusoid with frequency modification.
• Figure 5 . An approximate square waveform.
• Figure 6 . An improved approximate square waveform.
• Figure 7 . First five sinusoidal components of a square waveform.
• Figure 8 . A triangular waveform.

## Preview

Many physical devices (and electronic circuits as well) exhibit a characteristic commonly referred to as periodic motion .

I will use the example of a pendulum to introduce the concepts of

• periodic motion,
• harmonic motion, and
• sinusoids.

I will introduce you to the concept of a time series .

I will introduce you to sine and cosine functions and the Java methods that can be used to calculate their values.

I will introduce you to the concepts of period and frequency for sinusoids.

I will introduce you to the concept of radians versus cycles .

I will introduce you to the concept of decomposition by decomposing a time series into a (possibly very large) set of sinusoids, each having its own frequency and amplitude. (We will learn much more about this in a subsequent module when we discuss frequency spectral analysis.)

I will introduce you to the concept of composition , where (theoretically) any time series can be created by adding together the correct (possibly very large) set of sinusoids, each having its own frequency and amplitude.

anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
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?
Damian
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
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Difference between extinct and extici spicies
Researchers demonstrated that the hippocampus functions in memory processing by creating lesions in the hippocampi of rats, which resulted in ________.
The formulation of new memories is sometimes called ________, and the process of bringing up old memories is called ________.
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