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Temporal Data Analysis A.A. 2011/2012 stationary random data fit a specific model of this type, ensemble averaging is not always needed to describe the data. The various desired properties can sometimes be estimated from a single record, as is true for ergodic stationary data. 10 M.Orlandini
Chapter2 Harmonic Analysis Few preliminary remarks are in order: First, we will use the angular frequency ω when we refer to the frequency domain. The unit of the angular frequency is radians/second (or simpler s −1 ). It is easily converted to the frequency ν (unit in Hz) using the following equation: ω = 2πν Second: just let us remember the definition of even and odd functions. Definition 2.1 (Even and odd functions). A function is said to be even if f (−t) = f (t) even function while a function is said to be odd if f (−t) = −f (t) odd function Any function can be described in terms of a mixture of even and odd functions, by means of the following decomposition (see Figure 2.1): f even = f odd = f (t) + f (−t) 2 f (t) − f (−t) 2 2.1 Fourier Series This Section will deal with the mapping of periodic functions to a series based on the trigonometric functions sine (and odd function) and cosine (even function). 11
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Chapter5 Procedures for Analyzing R
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Chapter6 Temporal Analysis in X-ray
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Chapter7 Bibliography Reference Tex
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AppendixA Examples Shown at the Bla
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AppendixB Practical Session on Timi
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