Parseval's Identity is a fundamental theorem in Fourier analysis that states the total energy of a signal can be represented as the sum of the squares of its Fourier coefficients. This identity links the time domain representation of a function to its frequency domain representation, emphasizing the concept of orthogonality among functions in the Fourier series expansion. It highlights that, for orthogonal functions, the integral of the square of a function is equal to the sum of the squares of its coefficients when expressed in an orthogonal basis.
congrats on reading the definition of Parseval's Identity. now let's actually learn it.