TY - JOUR
T1 - Symbolic statistical analysis of SNR variation for delta-sigma modulators
AU - Tang, Hua
PY - 2007/8
Y1 - 2007/8
N2 - Traditional methods for statistical analysis of Delta-Sigma (ΔΣ) modulators are based on Monte Carlo analysis to iteratively change the design parameters and evaluate the histogram of signal-to-noise ratio (SNR). But Monte Carlo analysis is time-consuming, especially when a number of candidate designs need to be considered. In this brief, a systematic symbolic formulation of statistical SNR variation is made so that variations of capacitors are directly translated to SNR variation. In addition, the symbolic formulation is derived from a generic ΔΣ modulator topology, so that the derived symbolic formulation is applicable to any topology that is covered by the generic topology. Experiments have shown the symbolic formulation can provide fast and reasonably accurate estimation of statistical SNR variation, especially for high-order modulators.
AB - Traditional methods for statistical analysis of Delta-Sigma (ΔΣ) modulators are based on Monte Carlo analysis to iteratively change the design parameters and evaluate the histogram of signal-to-noise ratio (SNR). But Monte Carlo analysis is time-consuming, especially when a number of candidate designs need to be considered. In this brief, a systematic symbolic formulation of statistical SNR variation is made so that variations of capacitors are directly translated to SNR variation. In addition, the symbolic formulation is derived from a generic ΔΣ modulator topology, so that the derived symbolic formulation is applicable to any topology that is covered by the generic topology. Experiments have shown the symbolic formulation can provide fast and reasonably accurate estimation of statistical SNR variation, especially for high-order modulators.
KW - Delta-sigma (Δ Σ)
KW - modulator
KW - signal-to-noise ratio (SNR)
KW - statistical analysis
KW - symbolic analysis
KW - system-level design
UR - http://www.scopus.com/inward/record.url?scp=34547922048&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547922048&partnerID=8YFLogxK
U2 - 10.1109/TCSII.2007.899458
DO - 10.1109/TCSII.2007.899458
M3 - Article
AN - SCOPUS:34547922048
SN - 1549-7747
VL - 54
SP - 720
EP - 724
JO - IEEE Transactions on Circuits and Systems II: Express Briefs
JF - IEEE Transactions on Circuits and Systems II: Express Briefs
IS - 8
ER -