A Quadrature Signals Tutorial: Complex, But Not Complicated

Understanding the 'Phasing Method' of Single Sideband Demodulation

Complex Digital Signal Processing in Telecommunications

Introduction to Sound Processing

Introduction of C Programming for DSP Applications

**Search Spectral Audio Signal Processing**

**Would you like to be notified by email when Julius Orion Smith III publishes a new entry into his blog?**

Jim Kaiser discovered a simple approximation to the DPSS window based
upon Bessel functions [110], generally known as the Kaiser
window (or *Kaiser-Bessel window*).

**Definition:**

**Window transform:**

The Fourier transform of the Kaiser window (where is treated as continuous) is given by

- Reduces to rectangular window for
- Asymptotic roll-off is 6 dB/octave
- First null in window transform is at
- Time-bandwidth product radians if bandwidths are measured from 0 to positive band-limit
- Full time-bandwidth product radians when frequency bandwidth is defined as main-lobe width out to first null
- Sometimes the Kaiser window is parameterized by
, where

Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and (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.

Comments

No comments yet for this page