Synthesis of a Wireless Communication Analog Back-End Based on a Mismatch-Aware Symbolic Approach

Castro-López, R.; Guerra, Oscar Ulloa; Fernández, Francisco V.; Rodríguez-Vázquez, Á.

doi:10.1023/b:alog.0000034825.47829.04

Cited by 1 publication

(3 citation statements)

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“…where Y i,min{m,r} is the new coefficient of the reduced matrix in the i-th row. As a result, (1) is reduced to (10). Similar to the norator, the nodes of a CM are related to the rows of the admittance matrix, but with opposite characteristics.…”

Section: B Nullator-vm and Norator-cm Treesmentioning

confidence: 99%

“…As a consequence, when the NA matrix is built from pathological element-based equivalent circuits, the order of the system of equations is given by (q − p) × (q − p). However, although (9), (11), (12) and (13) can be used to obtain the NA matrix of pathological element-based circuits, valuable computer resources are still wasted in the generation of (1) and later on (10). An improved formulation method of pathological element-based equivalent circuits will be presented in Section V.…”

Section: B Nullator-vm and Norator-cm Treesmentioning

confidence: 99%

“…S YMBOLIC analysis is a powerful tool which is used to model the behavior of a circuit in terms of symbolic parameters [1]- [9]. Symbolic expressions not only give better insight on the behavior of the circuit, but can also be used in synthesis and optimization procedures [3], [4], [6], [10]. Traditionally, the behavior of active devices is modeled with voltage-or current-controlled voltage or current sources.…”

Section: Introductionmentioning

confidence: 99%

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Pathological Element-Based Active Device Models and Their Application to Symbolic Analysis

Sánchez–López

Fernandez

Tlelo‐Cuautle

et al. 2011

IEEE Trans. Circuits Syst. I

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This paper proposes new pathological element-based active device models which can be used in analysis tasks of linear(ized) analog circuits. Nullators and norators along with the Voltage Mirror-Current Mirror (VM-CM) pair (collectively known as pathological elements) are used to model the behavior of active devices in voltage-, current-and mixed-mode, also considering parasitic elements. Since analog circuits are transformed to nullor-based equivalent circuits or VM-CM pairs or as a combination of both, standard nodal analysis can be used to formulate the admittance matrix. We present a formulation method in order to build the Nodal Admittance (NA) matrix of nullor-equivalent circuits, where the order of the matrix is given by the number of nodes minus the number of nullors. Since pathological elements are used to model the behavior of active devices, we introduce a more efficient formulation method in order to compute small-signal characteristics of pathological element-based equivalent circuits, where the order of the NA matrix is given by the number of nodes minus the number of pathological elements. Examples are discussed in order to illustrate the potential of the proposed pathological elementbased active device models and the new formulation method in performing symbolic analysis of analog circuits. The improved formulation method is compared with traditional formulation methods, showing that the NA matrix is more compact and the generation of non-zero coefficients is reduced. As a consequence, the proposed formulation method is the most efficient one reported so far, since the CPU-time and memory consumption is reduced when recursive determinant-expansion techniques are used to solve the NA matrix.

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Section: B Nullator-vm and Norator-cm Treesmentioning

confidence: 99%

Section: B Nullator-vm and Norator-cm Treesmentioning

confidence: 99%