On the monotonicity and linearity of ideal radix-based A/D converters

János Márkus, I. Kollár

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Both cyclic and pipelined analog-to-digital (A/D) converters are getting more and more popular, as they are relatively easy to design and either have a high throughput (pipelined converters) or small area- and power-consumption (cyclic/algorithmic converters). To avoid saturation and to ensure effective digital calibration, in the analog stage(s) of these converters, instead of the ideal two, often a smaller nominal gain (called radix number) is used. In this paper, it is shown that these radix-based converters have nonmonotonic output and finite linearity. The causes of these phenomena are discussed in detail. Fully digital method is suggested to remove nonmonotonic code transitions and estimation on the maximum differential nonlinearity of the ideal converter as a function of the number of cycles is presented.

Original languageEnglish
Pages (from-to)2454-2457
Number of pages4
JournalIEEE Transactions on Instrumentation and Measurement
Volume54
Issue number6
DOIs
Publication statusPublished - Dec 2005

Fingerprint

analog to digital converters
Digital to analog conversion
linearity
converters
Electric power utilization
Throughput
Calibration
nonlinearity
analogs
saturation
cycles
causes
output

Keywords

  • Algorithmic
  • Analog-digital (A/D) conversion
  • Cyclic
  • Differential nonlinearity
  • DNL
  • Linearity
  • Monotonicity
  • Multistage pipelined
  • Nonradix-2
  • Radix less than 2
  • Subradix ADC
  • subranging A/D converter

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Instrumentation

Cite this

On the monotonicity and linearity of ideal radix-based A/D converters. / Márkus, János; Kollár, I.

In: IEEE Transactions on Instrumentation and Measurement, Vol. 54, No. 6, 12.2005, p. 2454-2457.

Research output: Contribution to journalArticle

@article{d49df743cf264ea4a36c5c4bdfb68e7b,
title = "On the monotonicity and linearity of ideal radix-based A/D converters",
abstract = "Both cyclic and pipelined analog-to-digital (A/D) converters are getting more and more popular, as they are relatively easy to design and either have a high throughput (pipelined converters) or small area- and power-consumption (cyclic/algorithmic converters). To avoid saturation and to ensure effective digital calibration, in the analog stage(s) of these converters, instead of the ideal two, often a smaller nominal gain (called radix number) is used. In this paper, it is shown that these radix-based converters have nonmonotonic output and finite linearity. The causes of these phenomena are discussed in detail. Fully digital method is suggested to remove nonmonotonic code transitions and estimation on the maximum differential nonlinearity of the ideal converter as a function of the number of cycles is presented.",
keywords = "Algorithmic, Analog-digital (A/D) conversion, Cyclic, Differential nonlinearity, DNL, Linearity, Monotonicity, Multistage pipelined, Nonradix-2, Radix less than 2, Subradix ADC, subranging A/D converter",
author = "J{\'a}nos M{\'a}rkus and I. Koll{\'a}r",
year = "2005",
month = "12",
doi = "10.1109/TIM.2005.858104",
language = "English",
volume = "54",
pages = "2454--2457",
journal = "IEEE Transactions on Instrumentation and Measurement",
issn = "0018-9456",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "6",

}

TY - JOUR

T1 - On the monotonicity and linearity of ideal radix-based A/D converters

AU - Márkus, János

AU - Kollár, I.

PY - 2005/12

Y1 - 2005/12

N2 - Both cyclic and pipelined analog-to-digital (A/D) converters are getting more and more popular, as they are relatively easy to design and either have a high throughput (pipelined converters) or small area- and power-consumption (cyclic/algorithmic converters). To avoid saturation and to ensure effective digital calibration, in the analog stage(s) of these converters, instead of the ideal two, often a smaller nominal gain (called radix number) is used. In this paper, it is shown that these radix-based converters have nonmonotonic output and finite linearity. The causes of these phenomena are discussed in detail. Fully digital method is suggested to remove nonmonotonic code transitions and estimation on the maximum differential nonlinearity of the ideal converter as a function of the number of cycles is presented.

AB - Both cyclic and pipelined analog-to-digital (A/D) converters are getting more and more popular, as they are relatively easy to design and either have a high throughput (pipelined converters) or small area- and power-consumption (cyclic/algorithmic converters). To avoid saturation and to ensure effective digital calibration, in the analog stage(s) of these converters, instead of the ideal two, often a smaller nominal gain (called radix number) is used. In this paper, it is shown that these radix-based converters have nonmonotonic output and finite linearity. The causes of these phenomena are discussed in detail. Fully digital method is suggested to remove nonmonotonic code transitions and estimation on the maximum differential nonlinearity of the ideal converter as a function of the number of cycles is presented.

KW - Algorithmic

KW - Analog-digital (A/D) conversion

KW - Cyclic

KW - Differential nonlinearity

KW - DNL

KW - Linearity

KW - Monotonicity

KW - Multistage pipelined

KW - Nonradix-2

KW - Radix less than 2

KW - Subradix ADC

KW - subranging A/D converter

UR - http://www.scopus.com/inward/record.url?scp=29244447425&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29244447425&partnerID=8YFLogxK

U2 - 10.1109/TIM.2005.858104

DO - 10.1109/TIM.2005.858104

M3 - Article

AN - SCOPUS:29244447425

VL - 54

SP - 2454

EP - 2457

JO - IEEE Transactions on Instrumentation and Measurement

JF - IEEE Transactions on Instrumentation and Measurement

SN - 0018-9456

IS - 6

ER -