In the Fourier Series an and bn (for any n) are found by multiplying the signal by the nth harmonic (i.e. cos nx or sin nx), and then integrating. This works because multiplying any sinusoid (signal) by a sine or cosine results in a curve with an integral of A/ if the harmonic (n) is NOT present in the original signal. This process (multiplying the signal by a sinusoid of known frequency and integrating) is called

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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In the Fourier Series an and bn (for any n) are found by multiplying the signal by the
nth harmonic (i.e. cos nx or sin nx), and then integrating. This works because
multiplying any sinusoid (signal) by a sine or cosine results in a curve with an integral
of
A
if the harmonic (n) is NOT present in the original signal.
This process (multiplying the signal by a sinusoid of known frequency and integrating)
is called
A/
Reminder: Fourier Series: f(x)= ao + Σ(ancosx + b sinx), for all n
Transcribed Image Text:In the Fourier Series an and bn (for any n) are found by multiplying the signal by the nth harmonic (i.e. cos nx or sin nx), and then integrating. This works because multiplying any sinusoid (signal) by a sine or cosine results in a curve with an integral of A if the harmonic (n) is NOT present in the original signal. This process (multiplying the signal by a sinusoid of known frequency and integrating) is called A/ Reminder: Fourier Series: f(x)= ao + Σ(ancosx + b sinx), for all n
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