HP 48gII Graphing Calculator Manual de usuario descargar pdf (Pagina 522)

integration of the form

dttftssF .)(),()( κ

The function κ(s,t) is

known as the kernel of the transformation

The use of an integral transform allows us to resolve a function into a given

spectrum of components

. To understand the concept of a spectrum, consider

the Fourier series

representing a periodic function with a period T. This Fourier series can be

re-written as

xAaxf φϖ where

for n =1,2, …

The amplitudes A

will be referred to as the spectrum of the function and will

be a measure of the magnitude of the component of f(x) with frequency f

n/T. The basic or fundamental frequency in the Fourier series is f

= 1/T, thus,

all other frequencies are multiples of this basic frequency, i.e., f

we can define an angular frequency, ω

= 2nπ/T = 2π⋅f

is the basic or fundamental angular frequency of the Fourier series.

Using the angular frequency notation, the Fourier series expansion is written

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HP 48gII Graphing Calculator Manual de usuario Pagina 522