Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:A2L-B
Session:
Number:A2L-B-5
Mean Square Quantization Error of Golden Ratio Encoders
Koji Itaya, Yutaka Jitsumatsu,
pp.136-139
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
A β encoder is an analog to digital converter (ADC) that is based on β transformation. A β encoder is robust to fluctuation of a threshold value of a quantizer. This fact is a significant advantage over a ADC based on the binary expansion. Unfortunately, β encoder is not robust to the mismatch of the value of β in (0,1). Therefore the effective β value must be accurately estimated to reconstruct the input analog value from its β expansion. Golden ratio encoder (GRE) is another type of ADC that is basically based on β encoder. The GRE is promising because it does not need an estimation of β. In this paper, the performance evaluation of GREs is presented. We analyze the mean square quantization error of GREs.