ESS210B
Prof. Jin-Yi Yu
Parseval’s Theorem
qThis theory is important for power spectrum analysis and for time filtering to be discussed
later.
qThe theory states that the square of the time series integrated over
time is equal to the square (inner product) of the Fourier transform integrated over frequency:
qHere F1(w)/F2(w) is the Fourier transform of f1(t)/f2(t).
