Implementation and Performance Evaluation of the Frequency-Domain-Based Bit Flipping Controller for Stabilizing the Single-Bit High-Order Interpolative Sigma Delta Modulators

This paper is an extension of the existing works on the frequency-domain-based bit flipping control strategy for stabilizing the single-bit high-order interpolative sigma delta modulator. In particular, this paper proposes the implementation and performs the performance evaluation of the control str...

Full description

Bibliographic Details
Main Authors: Huishan Zhai, Bingo Wing-Kuen Ling
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/17/5785
_version_ 1797556493642366976
author Huishan Zhai
Bingo Wing-Kuen Ling
author_facet Huishan Zhai
Bingo Wing-Kuen Ling
author_sort Huishan Zhai
collection DOAJ
description This paper is an extension of the existing works on the frequency-domain-based bit flipping control strategy for stabilizing the single-bit high-order interpolative sigma delta modulator. In particular, this paper proposes the implementation and performs the performance evaluation of the control strategy. For the implementation, a frequency detector is used to detect the resonance frequencies of the input sequence of the sigma delta modulator. Then, a neural-network-based controller is used for finding the solution of the integer programming problem. Finally, the buffers and the combinational logic gates as well as an inverter are used for implementing the proposed control strategy. For the performance evaluation, the stability region in terms of the input dynamical range is evaluated. It is found that the control strategy can significantly increase the input dynamical range from 0.24 to 0.58. Besides, the control strategy can be applied to a wider class of the input signals compared to the clipping method.
first_indexed 2024-03-10T17:03:41Z
format Article
id doaj.art-2fbb7d219a894f818f5056dee50480f2
institution Directory Open Access Journal
issn 2076-3417
language English
last_indexed 2024-03-10T17:03:41Z
publishDate 2020-08-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj.art-2fbb7d219a894f818f5056dee50480f22023-11-20T10:53:16ZengMDPI AGApplied Sciences2076-34172020-08-011017578510.3390/app10175785Implementation and Performance Evaluation of the Frequency-Domain-Based Bit Flipping Controller for Stabilizing the Single-Bit High-Order Interpolative Sigma Delta ModulatorsHuishan Zhai0Bingo Wing-Kuen Ling1School of Information Engineering, Guangdong University of Technology, Guangzhou 510006, ChinaSchool of Information Engineering, Guangdong University of Technology, Guangzhou 510006, ChinaThis paper is an extension of the existing works on the frequency-domain-based bit flipping control strategy for stabilizing the single-bit high-order interpolative sigma delta modulator. In particular, this paper proposes the implementation and performs the performance evaluation of the control strategy. For the implementation, a frequency detector is used to detect the resonance frequencies of the input sequence of the sigma delta modulator. Then, a neural-network-based controller is used for finding the solution of the integer programming problem. Finally, the buffers and the combinational logic gates as well as an inverter are used for implementing the proposed control strategy. For the performance evaluation, the stability region in terms of the input dynamical range is evaluated. It is found that the control strategy can significantly increase the input dynamical range from 0.24 to 0.58. Besides, the control strategy can be applied to a wider class of the input signals compared to the clipping method.https://www.mdpi.com/2076-3417/10/17/5785high-order interpolative sigma delta modulatorbit flipping controlquantizationfractalchaoscomplex number
spellingShingle Huishan Zhai
Bingo Wing-Kuen Ling
Implementation and Performance Evaluation of the Frequency-Domain-Based Bit Flipping Controller for Stabilizing the Single-Bit High-Order Interpolative Sigma Delta Modulators
Applied Sciences
high-order interpolative sigma delta modulator
bit flipping control
quantization
fractal
chaos
complex number
title Implementation and Performance Evaluation of the Frequency-Domain-Based Bit Flipping Controller for Stabilizing the Single-Bit High-Order Interpolative Sigma Delta Modulators
title_full Implementation and Performance Evaluation of the Frequency-Domain-Based Bit Flipping Controller for Stabilizing the Single-Bit High-Order Interpolative Sigma Delta Modulators
title_fullStr Implementation and Performance Evaluation of the Frequency-Domain-Based Bit Flipping Controller for Stabilizing the Single-Bit High-Order Interpolative Sigma Delta Modulators
title_full_unstemmed Implementation and Performance Evaluation of the Frequency-Domain-Based Bit Flipping Controller for Stabilizing the Single-Bit High-Order Interpolative Sigma Delta Modulators
title_short Implementation and Performance Evaluation of the Frequency-Domain-Based Bit Flipping Controller for Stabilizing the Single-Bit High-Order Interpolative Sigma Delta Modulators
title_sort implementation and performance evaluation of the frequency domain based bit flipping controller for stabilizing the single bit high order interpolative sigma delta modulators
topic high-order interpolative sigma delta modulator
bit flipping control
quantization
fractal
chaos
complex number
url https://www.mdpi.com/2076-3417/10/17/5785
work_keys_str_mv AT huishanzhai implementationandperformanceevaluationofthefrequencydomainbasedbitflippingcontrollerforstabilizingthesinglebithighorderinterpolativesigmadeltamodulators
AT bingowingkuenling implementationandperformanceevaluationofthefrequencydomainbasedbitflippingcontrollerforstabilizingthesinglebithighorderinterpolativesigmadeltamodulators