## Hierarchical Symbolic Analysis of Analog Circuits Using Two-Port Networks

Citations: | 3 - 0 self |

### BibTeX

@MISC{Wang_hierarchicalsymbolic,

author = {Xiaoying Wang and Lars Hedrich},

title = {Hierarchical Symbolic Analysis of Analog Circuits Using Two-Port Networks},

year = {}

}

### OpenURL

### Abstract

Abstract: This paper presents a method towards hierarchical symbolic analysis of linear analog circuits using twoport networks. The important difference to the ordinary flat symbolic analysis is, that we treat the transistor pairs as blocks and then derive the transfer function with network analyzer without to setup and solve a complicated DAE system for a whole analog circuit. The hierarchical idea can be even used to large circuits in divide and conquer manner. Experimental results obtained with some applications of this method are presented. Key–Words: Symbolic analysis, Two-port network 1

### Citations

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- 2000
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Citation Context ...margin, and input/output impedance, can be derived from the Amatrix. 4.3 Feedback Considering often occurred feedback in analog circuits, the A-Matrix can be also combined with the feedback theory in =-=[15]-=-. There are generally four feedback topologies. We demonstrate here one topology, and other topologies can be derived in a similar way. The concept of voltage-voltage feedback is illustrated in Fig. 4... |

46 |
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Citation Context ...lysis without dealing with a large DAE system. Considering a huge A-matrix for the exact analysis and the limitation of symbolic expression in programming, the simplification of a matrix described in =-=[16]-=- by eliminating insignificant terms can be applied. cgs cgd G D S gmugs Figure 5: MOS transistor small-signal model 5 Results In this section we will present the analysis results for some real circuit... |

45 |
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(Show Context)
Citation Context ...and stability of circuits can be easily derived [1]. The common rational expression of transfer function is shown below H(s) = � M i=0 �N j=0 ais i bjs j (1) Up to now several symbolic simulators [2] =-=[3]-=- were developed: 1) ISAAC [4], ASAP [5],SYNAP [6] and Insydes [7] which are based on the node equations of circuits and applied to small circuits. 2) RAINIER [8] used the simplification before or duri... |

23 |
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Citation Context ... be easily derived [1]. The common rational expression of transfer function is shown below H(s) = � M i=0 �N j=0 ais i bjs j (1) Up to now several symbolic simulators [2] [3] were developed: 1) ISAAC =-=[4]-=-, ASAP [5],SYNAP [6] and Insydes [7] which are based on the node equations of circuits and applied to small circuits. 2) RAINIER [8] used the simplification before or during generation technique to de... |

11 |
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Citation Context ...to now several symbolic simulators [2] [3] were developed: 1) ISAAC [4], ASAP [5],SYNAP [6] and Insydes [7] which are based on the node equations of circuits and applied to small circuits. 2) RAINIER =-=[8]-=- used the simplification before or during generation technique to deal with more complicated circuits. 3) Hierarchical approaches [9] [10] [11] made the analysis of larger circuits possible with diffe... |

10 |
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Citation Context ...1]. The common rational expression of transfer function is shown below H(s) = � M i=0 �N j=0 ais i bjs j (1) Up to now several symbolic simulators [2] [3] were developed: 1) ISAAC [4], ASAP [5],SYNAP =-=[6]-=- and Insydes [7] which are based on the node equations of circuits and applied to small circuits. 2) RAINIER [8] used the simplification before or during generation technique to deal with more complic... |

3 |
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Citation Context ... derived [1]. The common rational expression of transfer function is shown below H(s) = � M i=0 �N j=0 ais i bjs j (1) Up to now several symbolic simulators [2] [3] were developed: 1) ISAAC [4], ASAP =-=[5]-=-,SYNAP [6] and Insydes [7] which are based on the node equations of circuits and applied to small circuits. 2) RAINIER [8] used the simplification before or during generation technique to deal with mo... |

3 |
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Citation Context ...in the series connection of two networks depicted in Fig. 1(e). The connected networks exhibit a Z-matrix as 3 Previous Work Ztotal = Z1 + Z2 (5) One approach to topology synthesis of analog circuits =-=[12]-=- provides the idea, that a circuit topology can be represented by a block-chain in one dimension or a block-net in two dimensions, which is a connection of several blocks and each block represents a n... |

3 |
Networks and Devices Using Planar Transmissions Lines
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Citation Context ...ips between the four variables. In this paper we use the model with output current arrow pointed away from network (Fig. 1(a)). There are several types of matrices used to describe a two-port network =-=[13]-=- [14]. Of particular interest of this paper are the A-, H- , Y- and Z-matrices. The A-matrix, also known as chain or transmission matrix, is used in the cascade connection of two networks shown in Fig... |

2 | Hierarchical Symbolic Analysis of Analog Integrated Circuits via Determinant Decision Diagrams
- Tan, Shi
- 2000
(Show Context)
Citation Context ...quations of circuits and applied to small circuits. 2) RAINIER [8] used the simplification before or during generation technique to deal with more complicated circuits. 3) Hierarchical approaches [9] =-=[10]-=- [11] made the analysis of larger circuits possible with different algorithms. In this paper a new hierarchical symbolic analysis approach is presented. It combines the twoport network theory and the ... |

2 |
Grundlagen der Elektronik
- Rost
- 1983
(Show Context)
Citation Context ...etween the four variables. In this paper we use the model with output current arrow pointed away from network (Fig. 1(a)). There are several types of matrices used to describe a two-port network [13] =-=[14]-=-. Of particular interest of this paper are the A-, H- , Y- and Z-matrices. The A-matrix, also known as chain or transmission matrix, is used in the cascade connection of two networks shown in Fig. 1(b... |

2 | Symbolic Modeling and Analysis of Analog Integrated Circuits
- Sommer, Hennig, et al.
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(Show Context)
Citation Context ...od for above mentioned three examples is shown in Table 1. Because they have the same accuracy, we compare them with the run time to calculate the A-matrix. The simplification before generation (SBG) =-=[17]-=- was used to reduce the complexity of common symbolic analysis for the third example, which is more complicated than the simplification we used. Uin + Uin + Uin - M2 M3 M1 M1' A1 2 3 1 A2 Uin - M4 M5 ... |

1 | Symbolic analysis tools - the state-of-the-art
- Fernàndez, Rodrìguez-Vàzquez
- 1996
(Show Context)
Citation Context ...ces and stability of circuits can be easily derived [1]. The common rational expression of transfer function is shown below H(s) = � M i=0 �N j=0 ais i bjs j (1) Up to now several symbolic simulators =-=[2]-=- [3] were developed: 1) ISAAC [4], ASAP [5],SYNAP [6] and Insydes [7] which are based on the node equations of circuits and applied to small circuits. 2) RAINIER [8] used the simplification before or ... |

1 | A hierarchical approach for the symbolic analysis of large analog integrated circuits
- Guerra, Roca, et al.
(Show Context)
Citation Context ...de equations of circuits and applied to small circuits. 2) RAINIER [8] used the simplification before or during generation technique to deal with more complicated circuits. 3) Hierarchical approaches =-=[9]-=- [10] [11] made the analysis of larger circuits possible with different algorithms. In this paper a new hierarchical symbolic analysis approach is presented. It combines the twoport network theory and... |

1 |
ACAD: A hierarchical approach to CMOS design analysis
- Richman, Windley
- 1993
(Show Context)
Citation Context ...ons of circuits and applied to small circuits. 2) RAINIER [8] used the simplification before or during generation technique to deal with more complicated circuits. 3) Hierarchical approaches [9] [10] =-=[11]-=- made the analysis of larger circuits possible with different algorithms. In this paper a new hierarchical symbolic analysis approach is presented. It combines the twoport network theory and the hiera... |