A Method of Transformation from Symbolic Transfer Function to Active-&amp;lt;emphasis&amp;gt;RC&amp;lt;/emphasis&amp;gt; Circuit by Admittance Matrix Expansion

Haigh, D.G.

doi:10.1109/tcsi.2006.883879

Cited by 63 publications

(43 citation statements)

References 10 publications

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“…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%

“…By applying the input voltage source to terminal-Y3 of DDCC(1), the term sC1 will be also created in position (2,1) of (12). Therefore, the admittance matrix is shown in (16) and the obtained transfer functions at nodes Vout1 and Vout2 are identical to that obtained in (15) but with reverse signs.…”

Section: Followingmentioning

confidence: 99%

“…Also, a lowpass function at Vout1 can be achieved by applying the input voltage source to terminal-Y2 of DDCC(3) when the term -G3 appear in position (3,1) of (12). This operation corresponds to the inserting of terms ±∞4 to the second column of (14), as shown in (19).…”

Section: Followingmentioning

confidence: 99%

“…Recently, a symbolic framework for systematic synthesis of a linear active circuit without any detailed prior knowledge of the circuit form was presented [11][12][13][14][15]. This method, called nodal admittance matrix (NAM) expansion, is very useful to generate various novel circuits in a systematic way.…”

Section: Introductionmentioning

confidence: 99%

“…Based on this method, various active networks such as filters, oscillators and gyrators employing OTA, CCII, BOCCII, DVCC and CCCCTA have been synthesized [16][17][18][19][20][21]. The circuit synthesis procedure proposed in [12] is suitable to synthesize discrete transfer functions with different circuit topologies. It is difficult to synthesize multiple filter functions using an identical topology.…”

Section: Introductionmentioning

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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“…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%

Section: Followingmentioning

confidence: 99%

Section: Followingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Synthesis of Cascadable DDCC-Based Universal Filter Using NAM

et al. 2015

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A new approach for using the pathological mirror elements in the ideal representation of active devices

Saad

Soliman

2008

Circuit Theory & Apps

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SUMMARYThis paper is adopting a new approach to investigate the capabilities of pathological mirror elements in the ideal representation of active building-blocks and shows that the voltage mirror (VM) and current mirror (CM) are the basic pathological elements. The descriptions for the floating mirror elements in the nodal admittance matrix (NAM), using infinity-variables, are derived. The descriptions for nullator and norator using infinity-variables in the NAM are shown to represent special cases from the derived descriptions of the floating VM and the CM, respectively. Hence, new representations for the nullator and norator in terms of the floating VM and CM, respectively, are obtained. A systematic procedure for the derivation of pathological configurations to ideally represent various analog signal-processing properties featured by active building-blocks is presented. This systematic approach became plausible by virtue of the versatility offered by the NAM descriptions of floating mirror elements. Novel pathological configurations ideally describing most popular signal-processing properties that involve differential or multiple single-ended signals; like conversion between differential and single-ended voltages, differential voltage conveying, current differencing, differential current conveying, and inverting current replication; are derived systematically using this procedure. The resulting pathological configurations are shown to be constructed mainly using mirror elements and hence the capabilities of the mirrors as basic pathological elements are further demonstrated. Pathological representations for some active building-blocks, using the derived pathological sections, are presented as application examples.

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Generation of Kerwin‐Huelsman‐Newcomb biquad filter circuits using nodal admittance matrix expansion

Soliman

2011

Circuit Theory & Apps

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SUMMARYNodal admittance matrix (NAM) expansion is used to generate a family of grounded passive component Kerwin Huelsman Newcomb (KHN) circuits. The generated KHN circuits have independent control on the selectivity factor and the radian frequency as in the original KHN, besides they have independent control on the gain, which is not achievable in the original KHN circuit. The NAM expansion is based on using nullor elements and voltage mirror and current mirror as well. Two types of the KHN circuit are considered, each includes four classes. For each class it is found that there are 32 different KHN circuit; therefore, there is a total of 128 circuits that belong to type-A KHN and a similar number for type-B KHN circuits. Simulation results are included to support the generation method.

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A Method of Transformation from Symbolic Transfer Function to Active-<emphasis>RC</emphasis> Circuit by Admittance Matrix Expansion

Cited by 63 publications

References 10 publications

Synthesis of Cascadable DDCC-Based Universal Filter Using NAM

Synthesis of Cascadable DDCC-Based Universal Filter Using NAM

A new approach for using the pathological mirror elements in the ideal representation of active devices

Generation of Kerwin‐Huelsman‐Newcomb biquad filter circuits using nodal admittance matrix expansion

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