Fourier series moves analysis from the time domain to the frequency domain by decomposing a periodic time signal into a sum of sinusoids. Instead of looking at the function's values over time, the coefficients of the series reveal how much of each specific frequency is present, allowing for frequency-domain signal processing.
Conditions: The discussion concerns periodic functions represented by Fourier series.; Signal-processing applications are mentioned as motivation.
Fourier series moves analysis from the time domain to the frequency domain by decomposing a periodic time signal into a sum of sinusoids. Instead of looking at the function's values over time, the coefficients of the series reveal how much of each specific frequency is present, allowing for frequency-domain signal processing.
Conditions: The discussion concerns periodic functions represented by Fourier series.; Signal-processing applications are mentioned as motivation.