Beta encoder
A beta encoder is a analog to digital conversion (A/D) system in which a real number in the unit interval is represented by a finite representation of a sequence in base beta, with beta being a real number between 1 and 2. Beta encoders are an alternative to traditional approaches to pulse code modulation.[1][2]
As a form of non-integer representation, beta encoding contrasts with traditional approaches to binary quantization in which each value is mapped to the first N bits of its base-2 expansion. Rather than using base 2, beta encoders use base beta.[3]
In practice beta encoders have attempted to exploit the redundancy provided by the non-uniqueness of the expansion in base beta to produce more robust results. Although integrator leaks in hardware elements make some beta encoders imprecise, specific algorithms can be used to provide exponentially accurate approximations for the value of beta, despite the imprecise results provided by some circuit components.[4]
See also
References
- ^ Wireless Communication Systems: From RF Subsystems to 4G Enabling Technologies by Ke-Lin Du, M. N. S. Swamy 2010 ISBN 0521114039 page 483
- ^ I. Daubechies and O. Yilmaz, Robust and Practical Analog-to-Digital Conversion With Exponential Precision IEEE Transactions on Information Theory, August 2006, Volume 52 Issue 8, pages 3533 - 3545 [1]
- ^ Mathematical reviews, American Mathematical Society, Issue 3, 2007 page 2536
- ^ Rachel Ward, On Robustness Properties of Beta Encoders, IEEE Transactions on Information Theory, Sept. 2008, Volume 54 Issue 9, pages 4324 - 4334
 | This video technology article is a stub. You can help Wikipedia by expanding it. |