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Este modulo examina la idea y detras de la formula de reconstrucción perfecta más a fondo.

Introducción

En el modulo previo en reconstrucción , dimos una introducción de como trabaja la reconstrucción y temporalemte derivamos una ecuación usada para realizar una perfecta reconstrucción. Ahora tomemos un vistazo más cercano a la formula de la reconstrucción perfecta:

f t n f s t n t n
Escribiremos f t en términos de las funciones sinc desplazadas y escaladas t n t n n es una base para el espacio de señales limitadas en bada . Pero espere . . . .

Formulas de la derivada de reconstrucción

¿Que es

t n t n t k t k ?
Este producto interno puede ser difícil de calcular en el dominio del tiempo, asi que usaremos el Teorema de Plancharel
· · 1 2 ω ω n ω k

si n k

sinc n sinc k 1 2 ω ω n ω k 1
si n k
sinc n sinc k 1 2 ω ω n ω n 1 2 ω ω k n 1 2 k n k n 0
En la usamos el echo de que la integral de la senosoidal en un intervalo completo es 0 para simplificar nuestra ecuación.
Así,
t n t n t k t k 1 n k 0 n k
Por lo tanto t n t n n es una base ortonormal (ONB) para el espacio de funciones limitadas de banda de .
Muestreo es lo mismo que calcular los coeficientes de ONB, que es el producto interno con sincs

Resumen

Una última vez para f t limitado en banda

Síntesis

f t n f s n t n t n

Análisis

f s n t n f t
Para poder entender un poco más sobre como podemos reconstruir una señal exacatamente, será útil examinar la relación entre las transformadas de Fourier (CTFT y DTFT) a más profundidad.

Questions & Answers

Ayele, K., 2003. Introductory Economics, 3rd ed., Addis Ababa.
Widad Reply
can you send the book attached ?
Ariel
?
Ariel
What is economics
Widad Reply
the study of how humans make choices under conditions of scarcity
AI-Robot
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn Reply
U(x,y) = (x×y)1/2 find mu of x for y
Desalegn
what is ecnomics
Jan Reply
this is the study of how the society manages it's scarce resources
Belonwu
what is macroeconomic
John Reply
macroeconomic is the branch of economics which studies actions, scale, activities and behaviour of the aggregate economy as a whole.
husaini
etc
husaini
difference between firm and industry
husaini Reply
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from Qd  120 3P to Qd  90  3P and the supply function has shifted from QS  20  2P to QS 10  2P . a) Find the effect of this change on price and quantity. b) Which of the changes in demand and supply is higher?
Toofiq Reply
explain standard reason why economic is a science
innocent Reply
factors influencing supply
Petrus Reply
what is economic.
Milan Reply
scares means__________________ends resources. unlimited
Jan
economics is a science that studies human behaviour as a relationship b/w ends and scares means which have alternative uses
Jan
calculate the profit maximizing for demand and supply
Zarshad Reply
Why qualify 28 supplies
Milan
what are explicit costs
Nomsa Reply
out-of-pocket costs for a firm, for example, payments for wages and salaries, rent, or materials
AI-Robot
concepts of supply in microeconomics
David Reply
economic overview notes
Amahle Reply
identify a demand and a supply curve
Salome Reply
i don't know
Parul
there's a difference
Aryan
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
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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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