DSPRelated.com
Free Books
Online · Live + on demand
February 9-11, 2027
Price goes up Nov 1: register now to lock in today's rate
Register Now →
   Free Books    Physical Audio Signal Processing  

Arctangent Spectrum

Since the series expansion of the arctangent nonlinearity is

$\displaystyle \arctan(x) = x - \frac{x^3}{3} + \frac{x^5}{5} - \frac{x^7}{7} + \cdots $

bandwidth expansion is infinite (in continuous time). Thus, we expect problems with aliasing.

Next Section:
Cubic Soft-Clipper Spectrum
Previous Section:
Power Law Spectrum