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Lista de las cuatro transformadas de Fourier y cuando se usan.

El análisis de Fourier es elemental para entender el comportamiento de las señales de sistemas. Este es el resultado de que los senosoidales son eigenfunciones de sistemas lineales variantes en el tiempo (LTI) . Si pasamos cualquier senosoidal a través de un sistema LTI, obtenemos la versión escalada de cualquier sistema senosoidal como salida. Entonces, ya que el análisis de Fourier nos permite redefinir las señales en terminos de senosoidales, todo lo que tenemos que hacer es determinar el efecto que cualquier sistema tiene en todos los senosoidales posibles (su función de transferencia ) asítendremos un entendimiento completo del sistema. Asímismo, ya que podemos definir el paso de los senosoidales en el sistema como la multiplicación de ese senosoidal por la función de transferencia en la misma frecuencia, puedes convertir el paso de la señal a través de cualquier sistema de ser una convolución (en tiempo) a una multiplicación (en frecuencia) estas ideas son lo que dan el poder al análisis de Fourier.

Ahora, después de haberle vendido el valor que tiene este método de análisis, nosotros debemos analizar exactamente lo que significa el análisis Fourier. Las cuatro transformadas de Fourier que forman parte de este análisis son: Series Fourier , Transformada de Fourier continua en el tiempo , Transformada de Fourier en Tiempo Discreto , y La Transformada de Fourier Discreta . Para este modulo, nosotros veremos la trasformada de Laplace y la transformada Z . Como extensiones de CTFT y DTFT respectivamente. Todas estas transformadas actúan esencialmente de la misma manera, al convertir una señal en tiempo en su señal equivalente en frecuencia (senosoidales). Sin embargo, dependiendo en la naturaleza de una señal especifica ( por ejemplo , si es de tamaño finito o infinito, o si son discretas o continuas en el tiempo) hay una transformada apropiada para convertir las señales en su dominio de frecuencia. La siguiente tabla muestra las cuatro transformadas de Fourier y el uso de cada una. También incluye la convolucion relevante para el espacio especificado.

Tabla de representaciones para fourier
Transformada Dominio del Tiempo Dominio de la Frecuencia Convolución
Serie de Fourier Continua en el Tiempo L 2 0 T l 2 Tiempo Continuo Circular
Transformada de Fourier en Tiempo Continuo L 2 L 2 Tiempo Continuo Lineal
Transformada de Fourier Discreta en el Tiempo l 2 L 2 0 2 Tiempo Discreto Lineal
Transformada de Fourier Discreta l 2 0 N 1 l 2 0 N 1 Tiempo Discreto Circular

Questions & Answers

can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
I'm not sure why it wrote it the other way
I got X =-6
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
Idrissa Reply
im all ears I need to learn
right! what he said ⤴⤴⤴
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
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Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
is it 3×y ?
Joan Reply
J, combine like terms 7x-4y
Bridget Reply
im not good at math so would this help me
Rachael Reply
I'm not good at math so would you help me
what is the problem that i will help you to self with?
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
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what is the function of carbon nanotubes?
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
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
anybody can imagine what will be happen after 100 years from now in nano tech world
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
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how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
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can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Señales y sistemas. OpenStax CNX. Sep 28, 2006 Download for free at http://cnx.org/content/col10373/1.2
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