Use of Mirror Elements in the Active Device Synthesis by Admittance Matrix Expansion

Saad, Ramy A.; Soliman, Ahmed M.

doi:10.1109/tcsi.2008.916699

Cited by 73 publications

(55 citation statements)

References 15 publications

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“…From this example, we can conclude on the usefulness of the proposed nullor-equivalents to perform symbolic NA which can be very suitable to enhance the synthesis procedures already introduced in [4,18,19,34,36].…”

Section: Symbolic Analysis Of Analog Circuits Containing Vms Cms Andmentioning

confidence: 92%

“…1 [2]. These representations are useful in circuit modeling [2,20,30,42], circuit transformation [28,29,41], and circuit synthesis [18,19]. However, these representations do not allow to include parasitics and they can not be used within the symbolic NA method, because their inverting characteristics do not allow to perform operations as it is done for networks containing nullators and norators [7,22,37,39].…”

Section: Vm and CM Nullor-equivalentsmentioning

confidence: 99%

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Symbolic analysis of analog circuits containing voltage mirrors and current mirrors

Tlelo‐Cuautle

Sánchez–López

Martinez-Romero

et al. 2010

Analog Integr Circ Sig Process

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The pathological elements voltage mirror (VM) and current mirror (CM) have shown advantages in analog behavioral modeling and circuit synthesis, where many nullor-mirror equivalences have been explored to design and to transform voltage-mode circuits to current-mode ones and viceversa. However, both the VM and CM have not equivalents to perform automatic symbolic circuit analysis. In this manner, we introduce nullor-equivalents for these pathological elements allowing to include parasitics and to perform only symbolic nodal analysis. The nullor-equivalent of the CM is extended to provide multiple-outpus (MO-CM). Finally, two active filters containing VMs, CMs and MO-CMs are analysed to show the usefulness of the models.

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Section: Symbolic Analysis Of Analog Circuits Containing Vms Cms Andmentioning

confidence: 92%

Section: Vm and CM Nullor-equivalentsmentioning

confidence: 99%

Symbolic analysis of analog circuits containing voltage mirrors and current mirrors

Tlelo‐Cuautle

Sánchez–López

Martinez-Romero

et al. 2010

Analog Integr Circ Sig Process

View full text Add to dashboard Cite

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“…Then, the equivalent circuit of an input voltage source as shown in Figure 2 can be injected to the obtained circuit represented by expanded NAM of (4) to obtain the voltage-mode filters [19]. To synthesize DDCC-grounded capacitor-based filters using NAM expansion, we firstly use the NAM stamps of CCIIs [15] to expand the starting matrix in (4). The expanded NAM of (4) includes the correct form of admittance elements and pairs of infinity-variables represented terminal-X, terminal-Z and one terminal-Yi of DDCCs.…”

Section: Description Of the Proposed Methodsmentioning

confidence: 99%

“…Step 3: Use the NAM expansion method to expand the Matrix (6) [12,15]. The obtained matrix can be expressed by (7), for example.…”

Section: Description Of the Proposed Methodsmentioning

confidence: 99%

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Synthesis of Cascadable DDCC-Based Universal Filter Using NAM

et al. 2015

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A novel systematic approach for synthesizing DDCC-based voltage-mode biquadratic universal filters is proposed. The DDCCs are described by infinity-variables' models of nullor-mirror elements which can be used in the nodal admittance matrix expansion process. Applying the proposed method, the obtained 12 equivalent filters offer the following features: multi-input and two outputs, realization of all five standard filter functions, namely lowpass, bandpass, highpass, notch and allpass, high-input impedance, employing only grounded capacitors and resistors, orthogonal controllability between pole frequency and quality factor, and cascadable, low active and passive sensitivities. The workability of some synthesized filters is verified by HSPICE simulations to demonstrate the feasibility of the proposed method.

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Two‐graph analysis of pathological equivalent networks

Shi

2014

Circuit Theory & Apps

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Recently, abstract current mirror and voltage mirror elements have been proposed for behavioral modeling of active analog blocks. Such artificial elements and the traditionally used nullor element together are called pathological elements in the literature. Pathological elements are very useful in modeling and analysis of active network. Hence, researchers have been motivated to study symbolic analysis methods for networks containing pathological elements. However, so far, only nodal admittance matrix analysis has been formulated. In this work, an alternative two-graph method is formulated, which has the advantage of providing a compact intermediate form for subsequent symbolic term generation. With a compact two-graph representation, either a matrix method or a tree enumeration method can be employed. For completeness, the classical two-graph theory has been extended in this paper to encompass all four types of dependent sources and all pathological elements. Illustrative examples are presented to demonstrate the principle of compact symbolic term generation by the presented two-graph method.The classical two-graph method developed in the 1960s was only applicable to networks containing RCL-g m elements, that is, elements of R (resistor), C (capacitor), L (inductor), and g m (voltage-controlled current 1128 G. SHI

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Use of Mirror Elements in the Active Device Synthesis by Admittance Matrix Expansion

Cited by 73 publications

References 15 publications

Symbolic analysis of analog circuits containing voltage mirrors and current mirrors

Symbolic analysis of analog circuits containing voltage mirrors and current mirrors

Synthesis of Cascadable DDCC-Based Universal Filter Using NAM

Two‐graph analysis of pathological equivalent networks

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