



Baldwin illustrates and explains forward and inverse Fourier transforms using both DFT and FFT algorithms. He also illustrates and explains the implementation of frequency filtering by modifying the complex spectrum in the frequency domain and transforming the modified complex spectrum back into the time domain.
Revised: Sat Oct 17 17:00:21 CDT 2015
This page is included in the following book:
Digital Signal Processing  DSP
Table of contents
Preface
A previous module titled
Fun with Java, How and Why Spectral Analysis Works explained some of the
fundamentals regarding spectral analysis.
The module titled
Spectrum Analysis using Java, Sampling Frequency, Folding Frequency, and the FFT
Algorithm presented and explained several Java programs for doing spectral
analysis, including both DFT programs and FFT programs. That module illustratedthe fundamental aspects of spectral analysis that center around the sampling
frequency and the Nyquist folding frequency.
The module titled
Spectrum Analysis using Java, Frequency Resolution versus Data Length used
similar Java programs to explain spectral frequency resolution.
The module titled
Spectrum Analysis using Java, Complex Spectrum and Phase Angle explained
issues involving the complex spectrum, the phase angle, and shifts in the timedomain.
This module will illustrate and explain
forward and
inverse Fourier transforms using both DFT and FFT algorithms. I will also illustrate andexplain the implementation of frequency filtering by modifying the complex
spectrum in the frequency domain and then transforming the modified complexspectra back into the time domain.
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 Figuresand Listings while you are reading about them.

Figure 1. Forward and inverse transform of a time series using DFT algorithm.

Figure 2. Forward and inverse transform of a time series using FFT algorithm.

Figure 3. The signature of the complexToComplex method.

Figure 4. Filtering in the frequency domain.

Figure 5. Filtering in the frequency domain.
Questions & Answers
How we are making nano material?
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
what is Nano technology ?
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 .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
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?
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
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
How can I make nanorobot?
Lily
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
how can I make nanorobot?
Lily
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
how did you get the value of 2000N.What calculations are needed to arrive at it
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