A Symbolic Analysis Method Using Signal Block Diagrams and Its Application to Bias Synthesis of Analog Circuits
Summary :
In this paper, an efficient and robust circuit parameter determination method suitable for analog circuit synthesis is presented. The method uses block diagram representation of circuits as implicit design knowledge. Circuit parameter determination is carried out by propagating known values along signal flow in the block diagram. The circuit parameter determination using signal propagation performs successfully when unknown circuit parameters can be solved in one way. However, when the block diagram involves implicit calculation, the propagation stops before all unknown parameters are determined. In order to cope with this problem, we introduced a method that employs a symbolic analysis technique combined with a numerical method. When the propagation of known values stops, one of unknown signals is selected, a unique symbol is assigned to the selected signal, and the signal propagation is restarted. This operation is repeated until there is no unknown signal. When the symbol propagation reaches the signal where the signal value is already set, one nonlinear equation for the signal is obtained by equating both signal values. It can be solved by a numerical method, such as Newton's method. The parameter determination method using procedural description is superior to the optimization based method because it is straightforward to incorporate design knowhow in the description. However, it is burdensome for designers to develop design procedures for each circuit to be synthesized. Because the block diagram based calculation method can be used as subroutine calls during the design procedure development, it simplifies the design procedural description and lowers the burden of designers. The method was applied to the element value determination of bias circuits to demonstrate its effectiveness.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.3 pp.502-509
- Publication Date
- 1994/03/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on the 6th Karuizawa Workshop on Circuits and Systems)
- Category
- Computer Aided Design (CAD)
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Hideyuki KAWAKITA, Seijiro MORIYAMA, "A Symbolic Analysis Method Using Signal Block Diagrams and Its Application to Bias Synthesis of Analog Circuits" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 3, pp. 502-509, March 1994, doi: .
Abstract: In this paper, an efficient and robust circuit parameter determination method suitable for analog circuit synthesis is presented. The method uses block diagram representation of circuits as implicit design knowledge. Circuit parameter determination is carried out by propagating known values along signal flow in the block diagram. The circuit parameter determination using signal propagation performs successfully when unknown circuit parameters can be solved in one way. However, when the block diagram involves implicit calculation, the propagation stops before all unknown parameters are determined. In order to cope with this problem, we introduced a method that employs a symbolic analysis technique combined with a numerical method. When the propagation of known values stops, one of unknown signals is selected, a unique symbol is assigned to the selected signal, and the signal propagation is restarted. This operation is repeated until there is no unknown signal. When the symbol propagation reaches the signal where the signal value is already set, one nonlinear equation for the signal is obtained by equating both signal values. It can be solved by a numerical method, such as Newton's method. The parameter determination method using procedural description is superior to the optimization based method because it is straightforward to incorporate design knowhow in the description. However, it is burdensome for designers to develop design procedures for each circuit to be synthesized. Because the block diagram based calculation method can be used as subroutine calls during the design procedure development, it simplifies the design procedural description and lowers the burden of designers. The method was applied to the element value determination of bias circuits to demonstrate its effectiveness.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_3_502/_p
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@ARTICLE{e77-a_3_502,
author={Hideyuki KAWAKITA, Seijiro MORIYAMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Symbolic Analysis Method Using Signal Block Diagrams and Its Application to Bias Synthesis of Analog Circuits},
year={1994},
volume={E77-A},
number={3},
pages={502-509},
abstract={In this paper, an efficient and robust circuit parameter determination method suitable for analog circuit synthesis is presented. The method uses block diagram representation of circuits as implicit design knowledge. Circuit parameter determination is carried out by propagating known values along signal flow in the block diagram. The circuit parameter determination using signal propagation performs successfully when unknown circuit parameters can be solved in one way. However, when the block diagram involves implicit calculation, the propagation stops before all unknown parameters are determined. In order to cope with this problem, we introduced a method that employs a symbolic analysis technique combined with a numerical method. When the propagation of known values stops, one of unknown signals is selected, a unique symbol is assigned to the selected signal, and the signal propagation is restarted. This operation is repeated until there is no unknown signal. When the symbol propagation reaches the signal where the signal value is already set, one nonlinear equation for the signal is obtained by equating both signal values. It can be solved by a numerical method, such as Newton's method. The parameter determination method using procedural description is superior to the optimization based method because it is straightforward to incorporate design knowhow in the description. However, it is burdensome for designers to develop design procedures for each circuit to be synthesized. Because the block diagram based calculation method can be used as subroutine calls during the design procedure development, it simplifies the design procedural description and lowers the burden of designers. The method was applied to the element value determination of bias circuits to demonstrate its effectiveness.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - A Symbolic Analysis Method Using Signal Block Diagrams and Its Application to Bias Synthesis of Analog Circuits
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 502
EP - 509
AU - Hideyuki KAWAKITA
AU - Seijiro MORIYAMA
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1994
AB - In this paper, an efficient and robust circuit parameter determination method suitable for analog circuit synthesis is presented. The method uses block diagram representation of circuits as implicit design knowledge. Circuit parameter determination is carried out by propagating known values along signal flow in the block diagram. The circuit parameter determination using signal propagation performs successfully when unknown circuit parameters can be solved in one way. However, when the block diagram involves implicit calculation, the propagation stops before all unknown parameters are determined. In order to cope with this problem, we introduced a method that employs a symbolic analysis technique combined with a numerical method. When the propagation of known values stops, one of unknown signals is selected, a unique symbol is assigned to the selected signal, and the signal propagation is restarted. This operation is repeated until there is no unknown signal. When the symbol propagation reaches the signal where the signal value is already set, one nonlinear equation for the signal is obtained by equating both signal values. It can be solved by a numerical method, such as Newton's method. The parameter determination method using procedural description is superior to the optimization based method because it is straightforward to incorporate design knowhow in the description. However, it is burdensome for designers to develop design procedures for each circuit to be synthesized. Because the block diagram based calculation method can be used as subroutine calls during the design procedure development, it simplifies the design procedural description and lowers the burden of designers. The method was applied to the element value determination of bias circuits to demonstrate its effectiveness.
ER -
English
