3.FOURIER & FOURIER SERIES
>>
As a historical note Fourier is a French mathematician com administrator.in
French his name pronounced “Fourier”, in English his name Fourier.
>>
According to Fourier any type of periodic signals can be
expressed with dc component + sum of different sinusoidal waves.
fig.1
Fig.2
Generally square wave=fundamental
sin wave (H1)+H2+H3+--------+Hn see
in fig.1
But we need to truncate series
for easy calculations
Square wave=H1+H2+---+H49 see in fig.2
>>it gave raise to some
sort of controversy.
>>based on his work Fourier
submitted a paper .but apparently it could not be accepted in a scientific
journal, because very eminent mathematician who was the referee seriously
objected it
Start with failure
>>in this event Fourier
finally published in the form of book.
>>now a days Fourier forms
plays a vital role in engineering & science, and is still going to increase
their demand in science&engineering.
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