Trigonometric interpolation of a sampled signal

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 1K views
dodoPN
Messages
1
Reaction score
0
Given N sampled points, using the FFT we can get the Fourier transform of those N points Xk. With N/2 the Nyquist frequency and X0 the DC value. Using the inverse we can then get back the original function we just measured. However if we would like more points then just the N we have measured but instead we would like M, how can u use the inverse FFT to find the trigonometric interpolation? We can assume the N is even and that M>N. And wat if we would drop values out of Xk, how would you find a trigonometric interpolation of the original signal.
 
Mathematics news on Phys.org