title: ÐÐ¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ðµ ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¦ÐÐ Ð² Ð´ÐµÐ»ÑÑÐ°-ÑÐ¸Ð³Ð¼Ð° ÐÐ¦Ð
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: Dynamic element matching for DAC elements in delta-sigma ADC
Creators: name: Ð¡ÐºÑÐµÐ±ÐµÐ½ÐºÐ¾Ð², ÐÐ°Ð½Ð¸Ð»
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: 2022
Subjects: Ð°Ð½Ð°Ð»Ð¾Ð³Ð¾-ÑÐ¸ÑÑÐ¾Ð²Ð¾Ð¹ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»Ñ
Ð´ÐµÐ»ÑÑÐ°-ÑÐ¸Ð³Ð¼Ð° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¾Ñ
Ð¿ÐµÑÐµÐ´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ñ
Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ðµ ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²
Ð²Ð·Ð²ÐµÑÐµÐ½Ð½Ð¾Ðµ ÑÑÑÐµÐ´Ð½ÐµÐ½Ð¸Ðµ
analog-to-digital converter
delta-sigma modulator
oversampling
dynamic element matching
data weighted averaging

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â Ð°Ð½Ð°Ð»Ð¾Ð³Ð¾-ÑÐ¸ÑÑÐ¾Ð²Ð¾Ð¹ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´ÐµÐ»ÑÑÐ°-ÑÐ¸Ð³Ð¼Ð° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¾ÑÐ°. ÐÑÐµÐ´Ð¼ÐµÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÐµ Ð¸ÑÐºÐ°Ð¶ÐµÐ½Ð¸Ñ, Ð²ÑÐ·Ð²Ð°Ð½Ð½ÑÐµ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾ÑÑÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·ÑÑÐ´Ð½Ð¾Ð³Ð¾ ÑÐ¸ÑÑÐ¾-Ð°Ð½Ð°Ð»Ð¾Ð³Ð¾Ð²Ð¾Ð³Ð¾ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»Ñ Ð² ÑÐµÐ¿Ð¸ Ð¾Ð±ÑÐ°ÑÐ½Ð¾Ð¹ ÑÐ²ÑÐ·Ð¸ Ð´ÐµÐ»ÑÑÐ°-ÑÐ¸Ð³Ð¼Ð° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¾ÑÐ°. Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â Ð¾Ð±Ð·Ð¾Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ ÑÑÑÑÐºÑÑÑ ÐÐ¦Ð, ÑÐ°Ð·Ð±Ð¾Ñ Ð¿ÑÐ¸Ð½ÑÐ¸Ð¿Ð° ÑÐ°Ð±Ð¾ÑÑ Ð´ÐµÐ»ÑÑÐ°-ÑÐ¸Ð³Ð¼Ð° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¾ÑÐ°, Ð¾Ð±Ð·Ð¾Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÐ¸ÑÑÑ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² Ð´Ð»Ñ ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ñ ÑÑÐ¾Ð²Ð½Ñ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÑ Ð¸ÑÐºÐ°Ð¶ÐµÐ½Ð¸Ð¹ ÐÐ¦Ð Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´ÐµÐ»ÑÑÐ°-ÑÐ¸Ð³Ð¼Ð° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¾ÑÐ°. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¾ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÐ¸ÑÑÑ ÑÑÑÑÐºÑÑÑ ÐÐ¦Ð, Ð±ÑÐ» ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½ Ð¿ÑÐ¸Ð½ÑÐ¸Ð¿ ÑÐ°Ð±Ð¾ÑÑ Ð´ÐµÐ»ÑÑÐ°-ÑÐ¸Ð³Ð¼Ð° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¾ÑÐ°, Ð² ÑÐ°ÑÑÐ½Ð¾ÑÑÐ¸, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÐµÑÐµÐ´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð´Ð»Ñ ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ñ ÑÑÐ¼Ð¾Ð² ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½ Ð¾Ð±Ð·Ð¾Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² Ð²Ð·Ð²ÐµÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÑÑÐµÐ´Ð½ÐµÐ½Ð¸Ñ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¦ÐÐ Ð² ÑÐµÐ¿Ð¸ Ð¾Ð±ÑÐ°ÑÐ½Ð¾Ð¹ ÑÐ²ÑÐ·Ð¸ ÐÐ¦Ð. Ð ÑÐ°Ð¼ÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² ÑÑÐµÐ´Ðµ Matlab/Simulink Ð±ÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° Ð¸ Ð¿ÑÐ¾Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ Ð´ÐµÐ»ÑÑÐ°-ÑÐ¸Ð³Ð¼Ð° Ð¼Ð¾Ð´ÑÐ»ÑÑÐ¾ÑÐ° Ð²ÑÐ¾ÑÐ¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ°, Ð² ÑÐ¾Ð¼ ÑÐ¸ÑÐ»Ðµ Ñ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·ÑÑÐ´Ð½ÑÐ¼ ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð°ÑÐµÐ»ÐµÐ¼, Ð° ÑÐ°ÐºÐ¶Ðµ Ð±ÑÐ»Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ñ Ð¸ Ð¿ÑÐ¾Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐ¿Ð¾ÑÐ¾Ð±Ñ Ð²Ð·Ð²ÐµÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÑÑÐµÐ´Ð½ÐµÐ½Ð¸Ñ.Â 
description: The subject of the graduate qualification work is DAC nonlinearity in multi-bit sigma-delta ADC that produce harmonic distortion. The given work is devoted to data weighted averaging â algorithm for improving DAC linearity in multi-bit delta-sigma ADC. Common used types of ADCs are described, performance of delta-sigma ADC is described in more detail. The existing algorithms of data weighted averaging are described and two new algorithms are presented.