ESS210B
Prof. Jin-Yi Yu
Continuous Spectrum
qSo we need a “continuous spectrum” that tells us the variance of y(t) per unit frequency (wavenumber) interval:
q
q
q
qk* is called the “Nyquist frequency”, which has a frequency of one cycle per 2Dt. (This is the k=N/2 harmonics).
qThe Nyquist frequency is the highest frequency can be resolved by the given spacing of the data point.
k*
k1
k2
F(k)
k
Nyquist frequency