I'm trying to find the continuous-time Fourier Series (CTFS) harmonic functions of periodic signals (as shown in the attached file, taken from the book "Signals and Systems" of M.J. Roberts), but still don't know what command should I use.
For example, the Fourier-Series transform to a signal x(t) = 10*sin(20*pi*t), for a period T=1/10, is j5(δ[k+1] - δ[k-1]), but I don't know how to make this operation on Mathematica. Does anyone knows how to do it?
Thanks in advance.
Attachment: Appendix B - Continuous-Time Fourier Series Pairs.pdf, URL: ,