Design Optimizaion of Gm-C Filters via Geometric Programming

Minyoung YOON; Byungjoon KIM; Jintae KIM; Sangwook NAM

doi:10.1587/transele.E100.C.407

Design Optimizaion of Gm-C Filters via Geometric Programming

Minyoung YOON, Byungjoon KIM, Jintae KIM, Sangwook NAM

Full Text Views

0

Share
Cite this

Summary :

This paper presents a design optimization method for a Gm-C active filter via geometric programming (GP). We first describe a GP-compatible model of a cascaded Gm-C filter that forms a biquadratic output transfer function. The bias, gain, bandwidth, and signal-to-noise ratio (SNR) of the Gm-C filter are described in a GP-compatible way. To further enhance the accuracy of the model, two modeling techniques are introduced. The first, a two-step selection method, chooses whether a saturation or subthreshold model should be used for each transistor in the filter to enhance the modeling accuracy. The second, a bisection method, is applied to include non-posynomial inequalities in the filter modeling. The presented filter model is optimized via a GP solver along with proposed modeling techniques. The numerical experiments over wide ranges of design specifications show good agreement between model and simulation results, with the average error for gain, bandwidth, and SNR being less than 9.9%, 4.4%, and 14.6%, respectively.

Publication: IEICE TRANSACTIONS on Electronics Vol.E100-C No.4 pp.407-415

Publication Date: 2017/04/01

Publicized

Online ISSN: 1745-1353

DOI: 10.1587/transele.E100.C.407

Type of Manuscript: PAPER

Category: Electronic Circuits

Authors

Minyoung YOON
  Seoul National Univ.
Byungjoon KIM
  Seoul National Univ.
Jintae KIM
  Konkuk Univ.
Sangwook NAM
  Seoul National Univ.

Keyword

ultra-low power, optimization, geometric programming, subthreshold mode operation, active filter

Cite this

Copy

Minyoung YOON, Byungjoon KIM, Jintae KIM, Sangwook NAM, "Design Optimizaion of Gm-C Filters via Geometric Programming" in IEICE TRANSACTIONS on Electronics, vol. E100-C, no. 4, pp. 407-415, April 2017, doi: 10.1587/transele.E100.C.407.
Abstract: This paper presents a design optimization method for a Gm-C active filter via geometric programming (GP). We first describe a GP-compatible model of a cascaded Gm-C filter that forms a biquadratic output transfer function. The bias, gain, bandwidth, and signal-to-noise ratio (SNR) of the Gm-C filter are described in a GP-compatible way. To further enhance the accuracy of the model, two modeling techniques are introduced. The first, a two-step selection method, chooses whether a saturation or subthreshold model should be used for each transistor in the filter to enhance the modeling accuracy. The second, a bisection method, is applied to include non-posynomial inequalities in the filter modeling. The presented filter model is optimized via a GP solver along with proposed modeling techniques. The numerical experiments over wide ranges of design specifications show good agreement between model and simulation results, with the average error for gain, bandwidth, and SNR being less than 9.9%, 4.4%, and 14.6%, respectively.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/transele.E100.C.407/_p

Copy

@ARTICLE{e100-c_4_407,
author={Minyoung YOON, Byungjoon KIM, Jintae KIM, Sangwook NAM, },
journal={IEICE TRANSACTIONS on Electronics},
title={Design Optimizaion of Gm-C Filters via Geometric Programming},
year={2017},
volume={E100-C},
number={4},
pages={407-415},
abstract={This paper presents a design optimization method for a Gm-C active filter via geometric programming (GP). We first describe a GP-compatible model of a cascaded Gm-C filter that forms a biquadratic output transfer function. The bias, gain, bandwidth, and signal-to-noise ratio (SNR) of the Gm-C filter are described in a GP-compatible way. To further enhance the accuracy of the model, two modeling techniques are introduced. The first, a two-step selection method, chooses whether a saturation or subthreshold model should be used for each transistor in the filter to enhance the modeling accuracy. The second, a bisection method, is applied to include non-posynomial inequalities in the filter modeling. The presented filter model is optimized via a GP solver along with proposed modeling techniques. The numerical experiments over wide ranges of design specifications show good agreement between model and simulation results, with the average error for gain, bandwidth, and SNR being less than 9.9%, 4.4%, and 14.6%, respectively.},
keywords={},
doi={10.1587/transele.E100.C.407},
ISSN={1745-1353},
month={April},}

Copy

TY - JOUR
TI - Design Optimizaion of Gm-C Filters via Geometric Programming
T2 - IEICE TRANSACTIONS on Electronics
SP - 407
EP - 415
AU - Minyoung YOON
AU - Byungjoon KIM
AU - Jintae KIM
AU - Sangwook NAM
PY - 2017
DO - 10.1587/transele.E100.C.407
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E100-C
IS - 4
JA - IEICE TRANSACTIONS on Electronics
Y1 - April 2017
AB - This paper presents a design optimization method for a Gm-C active filter via geometric programming (GP). We first describe a GP-compatible model of a cascaded Gm-C filter that forms a biquadratic output transfer function. The bias, gain, bandwidth, and signal-to-noise ratio (SNR) of the Gm-C filter are described in a GP-compatible way. To further enhance the accuracy of the model, two modeling techniques are introduced. The first, a two-step selection method, chooses whether a saturation or subthreshold model should be used for each transistor in the filter to enhance the modeling accuracy. The second, a bisection method, is applied to include non-posynomial inequalities in the filter modeling. The presented filter model is optimized via a GP solver along with proposed modeling techniques. The numerical experiments over wide ranges of design specifications show good agreement between model and simulation results, with the average error for gain, bandwidth, and SNR being less than 9.9%, 4.4%, and 14.6%, respectively.
ER -