# Introduction  (Page 2/2)

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## Scope

In investigating the hypotheses, the scope of this work has been limited in several ways:

1. It is limited to single-threaded complex 1D FFTs, because multi-dimensional, multi-threaded or multi-processor FFTs (or anycombination thereof) are ultimately decomposed into 1D components running on a single core, and all other things being equal, it is the performance ofthese 1D components running on a single microprocessor core that determines the overall performance of a given multi-threaded implementation;
2. It is limited to transforms that operate on vectors of length ${2}^{m}$ where $m\in {\mathbb{N}}^{0}$ , because these are the easiest to compute on machines, and consequently the most often used by applications. This excludesthe prime-factor algorithm  [link] , [link] , and the Radar  [link] and Bluestein  [link] , [link] , [link] algorithms for prime sizes;
4. It is limited to out-of-place transforms, because they are generally faster than in-place transforms, except at the boundaries of thecache  [link] ;
5. The benchmark experiments are limited to the Intel x86 and ARM machines, because it is estimated that 92% of the microprocessors in therapidly expanding mobile market are ARM devices  [link] , while Intel's share of the worldwide PC and mobile PC microprocessors markets isestimated to be 79.3% and 84.4%, respectively  [link] .

## Contributions

The contributions of this work are summarized as follows:

1. Three methods of computing the conjugate-pair algorithm on SIMD microprocessors are described in Streaming FFT ;
2. The source code for the high-performance SIMD FFT library developed in this thesis is publicly available under a permissive open sourcelicence on github.

## Organization

This work is divided into two parts. The first part, Chapters 1-4, encompasses therelevant background, while the second part, Chapters 5-8, is concerned withcontributions that challenge the state of the art.

A brief overview of the contents of each chapter:

1. Algorithms provides an overview of FFT algorithms from the mathematical perspective;
2. Implementation details complements the mathematical perspective of the previous chapter with a more focused view of the low level detailsthat are relevant to efficient implementation on SIMD microprocessors;
3. Existing libraries reviews existing state of the art libraries, with reference to algorithms and implementation details of the previouschapters;
4. Streaming FFT describes SFFT, a library for SIMD microprocessors that is, in many cases, faster than the state ofthe art FFT libraries reviewed in Existing libraries ;
5. Benchmark methods describes the benchmarking methods used to evaluate performance and accuracy of various FFT implementations throughoutthis work;
6. Results and discussion presents the results of benchmarks on 18 different machines, as well as the results of model-based optimizationexperiments, with reference to earlier chapters and other related work;
7. Conclusions and future work concludes the work with a review of the hypotheses, a summary of the contributions, and some idea for directionsthat future work might take.

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
Do somebody tell me a best nano engineering book for beginners?
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
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
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.
what is nano technology
what is system testing?
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
how did you get the value of 2000N.What calculations are needed to arrive at it
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