# Relationship between two differently sampled Fourier coefficients

Assume a periodic signal $$\s(t)\$$ with fundamental period $$\T_0\$$. If one were to use the period $$\kT_0\$$ to find the Fourier series coefficients, how would they be related to the standard Fourier coefficients obtained using $$\T_0\$$?

• $T_0$ = $T_0$ Mar 21 at 10:21
• Since the formula for finding the coefficient contains a division by the assumed period (in this case, $k T_0$), the coefficient would likely remain the same (but its index shifted by $k$ units). Please edit into the question, the formula for finding the coefficient.
– AJN
Mar 21 at 10:28
• You asked this on dsp.ee, too. Mar 21 at 12:37