Saw-tooth harmonics

# Howclosethesimilarityisdependson

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Unformatted text preview: the peak amplitude of the saw­tooth waveform.     The coefficient of proportionality is found from integration and depends on   n = the number of the harmonic component.     Analytical formula:    Saw-tooth wave of peak amplitude A = = n = integer ∑ ⎢( −1) ⎣ = + ⎡ n +1 ⎤ 2A ⋅ sin( 2π ⋅ n ⋅ f0 ⋅ t ) ⎥ = π ⋅n ⎦ 2A ⋅ sin( 2π ⋅ f0 ⋅ t ) + π   According to this formula, the amplitude of the 2nd harmonic is half of the amplitude  of the fundamental; the amplitude of the 3rd harmonic equals to one‐third of the  amplitude of the fundamental, etc.   © 2010 Alexander Ganago   Page 2 of 4   File: Saw‐tooth harmonics  2A ⋅ sin( 2π ⋅ 2 ⋅ f0 ⋅ t + 180o ) + π ⋅2 2A + ⋅ sin( 2π ⋅ 3 ⋅ f0 ⋅ t ) + π ⋅3 2A + ⋅ sin( 2π ⋅ 4 ⋅ f0 ⋅ t + 180o ) + ... π ⋅4 [equation 5] EECS 314 Winter 2010     Homework 2   Required reading for Problem 2    Note tha...
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## This note was uploaded on 12/06/2010 for the course EECS 314 taught by Professor Ganago during the Spring '07 term at University of Michigan.

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