Power Spectral Density

The Fourier transform of the autocorrelation function is called the power spectral density (PSD), or power spectrum, and may be denoted

When the signal is real, its PSD is real and even, like its autocorrelation function.

---

Order a Hardcopy of Spectral Audio Signal Processing

Previous: Sample Autocorrelation
Next: Sample Power Spectral Density

---

written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.