Parseval's theorem
Parseval's theorem establishes a connection between the energy of a signal in the time domain and its energy in the frequency domain. Frequency and time serve as two domains for a comprehensive signal description, ensuring a consistent total energy across both domains [5]. Parseval's theorem is expressed as :
\(E=\int_{-\infty}^{+\infty}{\left|f(t)\right|^2dt}=\int_{-\infty}^{+\infty}{\left|F(\omega)\right|^2d\omega}\)