%0 Journal Article
%T A Biproportional Construction Algorithm for Correctly Calculating Fourier Series of Aperiodic Non-Sinusoidal Signal
%A Zicheng Li
%A Mingwei Ren
%A Zhaoling Chen
%A Guohai Liu
%J Engineering
%P 503-525
%@ 1947-394X
%D 2021
%I Scientific Research Publishing
%R 10.4236/eng.2021.1310036
%X The Fourier series (FS) applies to a periodic non-sinusoidal function satisfying the Dirichlet conditions, whereas the being-processed function
in practical applications is usually an aperiodic
non-sinusoidal signal. When
is aperiodic, its
calculated FS is not correct, which is still
a challenging problem. To overcome the problem, we derive a direct calculation algorithm, a constant iteration algorithm,
and an optimal iteration algorithm. The direct calculation
algorithm correctly calculates its Fourier coefficients (FCs) when
is periodic and satisfies the Dirichlet conditions