ESS210B
Prof. Jin-Yi Yu
Fourier Coefficients
qBecause of the orthogonal property of cosine and sine function, all the coefficients A and B can be computed independently (you don’t need to know other Ai=2,3,…N/2 or Bi=1, 2, 3…N/2 in order to get A1, for example).
qThis is a multiple regression case. Using least-square fit, we can show that:
q
q                                                      For k=1,N/2 
q
(no BN/2 component)