2016년 5월 24일 화요일

Fourier Transform from Fourier Series





Before you see this post,

see


Definite Integral of Multiplied 2 Trigonometric Functions



Express Functions from Taylor Series









We can think f(t) is sum of wave functions and a constant.

if t=0, f(0) = a_0.




Then, let's find a_0.


We can find a_0 like process above.






Through

Definite Integral of Multiplied 2 Trigonometric Functions,


we can find a_n ( except n = 0 ) and b_n.







Use

Express Functions from Taylor Series,


we can develop the formula.




In the process, we can derive Fourier Transform from Fourier Series.



댓글 없음:

댓글 쓰기