title: Ð ÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿ÑÐµÐ´Ð²Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐ¸ Ð¸ ÐºÐ¾ÑÑÐµÐºÑÐ¸Ð¸ ÐºÐ¾Ð½Ð²ÐµÐ¹ÐµÑÐ½Ð¾Ð³Ð¾ ÐÐ¦Ð Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ 2,5-Ð±Ð¸ÑÐ½ÑÑ ÐºÐ°ÑÐºÐ°Ð´Ð¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Realization of foreground calibration and corection of pipelined ADC based on 2.5-bit stages
Creators: name: Ð®ÑÑÐµÐ½ÐºÐ¾, ÐÐ¸ÐºÑÐ¾Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÐºÐ¾Ð½Ð²ÐµÐ¹ÐµÑÐ½ÑÐ¹ ÐÐ¦Ð
2.5-Ð±Ð¸ÑÐ½ÑÐ¹ ÐºÐ°ÑÐºÐ°Ð´
Ð¿ÑÐµÐ´Ð²Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð°Ñ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐ°
Ð¼ÐµÑÐ¾Ð´ Ð½Ð°Ð¸Ð¼ÐµÐ½ÑÑÐ¸Ñ ÐºÐ²Ð°Ð´ÑÐ°ÑÐ¾Ð²
Ð¿Ð¾ÐºÐ°ÑÐºÐ°Ð´Ð½Ð¾Ðµ Ð¼Ð°ÑÑÑÐ°Ð±Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÑÐ°ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸
Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ðµ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸
Ð¾ÐºÐ¾Ð½ÐµÑÐ½ÑÐ¹ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½ÑÐ¹ ÐºÐ°ÑÐºÐ°Ð´
pipeline ADC
2.5-bit stage
foreground calibration
least-squares method
stage scaling
static characteristics
dynamic characteristics
final flash stage

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¿ÑÐµÐ´Ð²Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐµ Ð¸ ÐºÐ¾ÑÑÐµÐºÑÐ¸Ð¸ ÐºÐ¾Ð½Ð²ÐµÐ¹ÐµÑÐ½Ð¾Ð³Ð¾ ÐÐ¦Ð Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð½Ð°Ð¸Ð¼ÐµÐ½ÑÑÐ¸Ñ ÐºÐ²Ð°Ð´ÑÐ°ÑÐ¾Ð². ÐÐ»Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²ÑÐ±ÑÐ°Ð½ 12-Ð±Ð¸ÑÐ½ÑÐ¹ ÐºÐ¾Ð½Ð²ÐµÐ¹ÐµÑÐ½ÑÐ¹ ÐÐ¦Ð Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ 2,5-Ð±Ð¸ÑÐ½ÑÑ ÐºÐ°ÑÐºÐ°Ð´Ð¾Ð². ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¸ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐ¸ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸ÑÑÑ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ MATLAB/Simulink. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑÑ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ 12-Ð±Ð¸ÑÐ½Ð¾Ð³Ð¾ ÐºÐ¾Ð½Ð²ÐµÐ¹ÐµÑÐ½Ð¾Ð³Ð¾ ÐÐ¦Ð Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ 2,5-Ð±Ð¸ÑÐ½ÑÑ ÐºÐ°ÑÐºÐ°Ð´Ð¾Ð², ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ ÑÑÐµÐ¼Ñ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐ¸ Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¾Ð¹ ÐºÐ¾Ð´Ð° Ð² MATLAB, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐµÐ³Ð¾ ÑÐ°ÑÑÑÐ¸ÑÐ°ÑÑ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²Ð¾ÑÐ½ÑÐµ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÑ, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÑÐµÐ¼ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²Ð¾Ðº Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¾ÐºÐ¾Ð½ÐµÑÐ½ÑÑ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½ÑÑ ÐºÐ°ÑÐºÐ°Ð´Ð¾Ð², Ð² ÑÐ°ÑÑÐ½Ð¾ÑÑÐ¸ ÑÐ°Ð·ÑÑÐ´Ð½Ð¾ÑÑÑÑ 2,5-Ð±Ð¸Ñ, 4,5-Ð±Ð¸Ñ Ð¸ 6-Ð±Ð¸Ñ. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÑÐ°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¸ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð¿ÑÐ¸ Ð²Ð°ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ Ð¿Ð¾ Ð¿Ð¾ÑÑÐ¾ÑÐ½Ð½Ð¾Ð¼Ñ ÑÐ¾ÐºÑ ÐÐ£ (Î¼0) Ð´Ð»Ñ ÐºÐ°Ð¶Ð´Ð¾Ð³Ð¾ ÐºÐ°ÑÐºÐ°Ð´Ð° Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð¼Ð°ÑÑÑÐ°Ð±Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Î¼0. ÐÑÐ¸ Ð°Ð½Ð°Ð»Ð¸Ð·Ðµ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð½ÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÑÐ´ÐµÐ»Ð°Ð½Ñ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÑÐµÐ¼Ñ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐ¸ Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð¾ÐºÐ¾Ð½ÐµÑÐ½Ð¾Ð³Ð¾ 2,5-Ð±Ð¸ÑÐ½Ð¾Ð³Ð¾ ÐºÐ°ÑÐºÐ°Ð´Ð° Ð² Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ðµ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ ÐÐ£. Ð¡ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð½ÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð´Ð»Ñ ÐºÐ°Ð¶Ð´Ð¾Ð¹ Ð¸Ð· ÑÑÐµÐ¼ ÐºÐ¾ÑÑÐµÐºÑÐ¸Ð¸ ÑÐ´ÐµÐ»Ð°Ð½Ñ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾ Ð¿ÑÐµÐ¸Ð¼ÑÑÐµÑÑÐ²Ð°Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐ¾Ð¹ Ð¸Ð»Ð¸ Ð¸Ð½Ð¾Ð¹ ÑÑÐµÐ¼. ÐÑÐ¸ ÑÑÐ¾Ð¼, Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ Ð¿ÑÐµÐ´Ð¿Ð¾ÑÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ²Ð»ÑÐµÑÑÑ Ð¸Ð¼ÐµÐ½Ð½Ð¾ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐ° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ 6-Ð±Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÐºÐ°ÑÐºÐ°Ð´Ð°. ÐÑÐ¾Ð¼Ðµ ÑÐ¾Ð³Ð¾, Ð´Ð°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð¾ÑÐµÐ½Ð¸ÑÑ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ñ Ð²Ð°ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ Ð´Ð»Ñ ÐºÐ°Ð¶Ð´Ð¾Ð³Ð¾ ÐºÐ°ÑÐºÐ°Ð´Ð°, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¼Ð¾Ð¶ÐµÑ ÑÐ²Ð»ÑÑÑÑÑ Ð¾ÑÐ½Ð¾Ð²Ð¾Ð¹ Ð´Ð»Ñ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐ¹ ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ¸ÑÑÐ¾Ð²Ð¾Ð¹ ÐºÐ°Ð»Ð¸Ð±ÑÐ¾Ð²ÐºÐ¸ Ð´Ð»Ñ ÐÐ¦Ð Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ 2,5-Ð±Ð¸ÑÐ½ÑÑ ÐºÐ°ÑÐºÐ°Ð´Ð¾Ð².
description: This work is devoted to foreground calibration of the pipeline ADC by the least-squares method. A 12-bit pipeline ADC based on 2.5-bit stages is chosen for research. Modeling and implementation of the calibration is performed in the MATLAB/Simulink. In the process of work the modeling of 12-bit pipeline ADC based on 2.5-bit stages, realization of the calibration scheme with the development of script in MATLAB, allowing to calculate calibrating coefficients, and also, the com-parative analysis of calibration schemes with use of various final flash stages, in particular 2.5-bit, 4.5-bit and 6-bit stages is carried out. The corresponding dependences of the static and dynamic characteristics when varying the DC gain of Op-Amp (Î¼0) for each stage with Î¼0 stage scaling are plotted. When analyzing the plotted characteristics, conclusions were made about the inadequacy of the calibration scheme using a final 2.5-bit cascade in the range of variation of the Op Amp DC gain. The conclusions about advantages of application of considered calibration schemes are made by the analysis of the built characteristics. At the same time, the calibration with the 6-bit flash stage has many advantages. This work allows estimating ranges of variation of DC gain for each stage, and also, can be abasis for the further physical realization of the given digital calibration for ADC based on 2,5-bit stages.