000033891 001__ 33891
000033891 005__ 20181203015756.0
000033891 037__ $$aARTICLE
000033891 245__ $$aDeterministic analysis of oversampled A/D conversion and decoding improvement based on consistent estimates
000033891 269__ $$a1994
000033891 260__ $$c1994
000033891 336__ $$aJournal Articles
000033891 520__ $$aDiscusses the deterministic analysis of oversampled A/D conversion (ADC), the properties derivable from such an analysis, and the consequences on reconstruction using nonlinear decoding. Given a band-limited input X producing a quantized version C, the authors consider the set of all input signals that are band-limited and produce C. They call any element of this set a consistent estimate of X. Regardless of the type of encoder (simple, predictive, or noise-shaping), they show that this set is convex, and as a consequence, any nonconsistent estimate can be improved. They also show that the classical linear decoding estimates are not necessarily consistent. Numerical tests performed on simple ADC, single-loop, and multiloop ΣΔ modulation show that consistent estimates yield a mean square error (MSE) that decreases asymptotically with the oversampling ratio faster than the linear decoding MSE by approximately 3 dB/octave. This implies an asymptotic MSE of the order of 
000033891 700__ $$aThao, Nguyen T.
000033891 700__ $$0240184$$aVetterli, Martin$$g107537
000033891 773__ $$j42$$k3$$q519-531$$tIEEE Transactions on Signal Processing
000033891 8564_ $$s1107346$$uhttps://infoscience.epfl.ch/record/33891/files/ThaoV94.pdf$$zn/a
000033891 909C0 $$0252056$$pLCAV$$xU10434
000033891 909CO $$ooai:infoscience.tind.io:33891$$pIC$$particle
000033891 917Z8 $$x218003
000033891 937__ $$aLCAV-ARTICLE-1994-006
000033891 970__ $$aThaoV94_1/LCAV
000033891 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000033891 980__ $$aARTICLE