ABSTRACT
In this note, we study the reconstruction problem in wide sense of a noncausal function from its stochastic Fourier coefficients (SFCs in abbr.). We employ Ogawa integral and orthonormal basis of exponential functions
to define SFCs. We show that Bohr convolution of SFCs and
generates every Fourier coefficient of
,
denoting the complex conjugate of z. We also note that
can be reconstructed from infinite SFCs, even if the other (finite or infinite) SFCs are absent.
Acknowledgements
The authors would like to express our sincere thanks to the reviewer for his/her valuable comments.
Disclosure statement
No potential conflict of interest was reported by the authors.