Network Transfer Functions Using the Concept of Frequency-Dependent Negative Resistance

Bruton, L.T.

doi:10.1109/tct.1969.1082989

Cited by 198 publications

(43 citation statements)

References 7 publications

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“…It should be highlighted that in classical terms we have |α| ≤ 1, but as pointed by [31,72], values outside this range are possible. For example, the frequency-dependent negative resistor (FDNR) [14,59,62] implements easily the second-order constitutive equation i = DD 2 t v, where D is a parameter, used in electronic filters.…”

Section: Bond Graph Modelling Of Economic Systemsmentioning

confidence: 99%

A fractional perspective to the bond graph modelling of world economies

Machado

Mata

2014

Nonlinear Dyn

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Inspired in dynamic systems theory and Brewer's contributions to apply it to economics, this paper establishes a bond graph model. Two main variables, a set of inter-connectivities based on nodes and links (bonds) and a fractional order dynamical perspective, prove to be a good macro-economic representation of countries' potential performance in nowadays globalization. The estimations based on time series for 50 countries throughout the last 50 decades confirm the accuracy of the model and the importance of scale for economic performance.

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Section: Bond Graph Modelling Of Economic Systemsmentioning

confidence: 99%

A fractional perspective to the bond graph modelling of world economies

Machado

Mata

2014

Nonlinear Dyn

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“…Therefore, . Thus, we can write (19) which is the sum of the products of zero-value time constants given by (14) or (17) and the first-order transfer constants, , evaluated with the energy storing element at the port at its infinite value, as shown in Fig. 4.…”

Section: B Determination Ofmentioning

confidence: 99%

“…Also as we will see later, it is the ratios of 's to that determine the zero location, and, hence, the exact details of 's do not matter to the extent we know how it is changed with respect to , eliminating the need for recalculation of all parameters with a change in the circuit. Equation (19) suggests that if all transfer constants of different orders are zero, there will be no zeros in the transfer function. This suggests an easy test to determine whether there is a zero in the transfer function by looking for capacitors shorting of which (or inductors opening of which) results in a nonzero low-frequency transfer function.…”

Section: B Determination Ofmentioning

confidence: 99%

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Generalized Time- and Transfer-Constant Circuit Analysis

Hajimiri

2010

IEEE Trans. Circuits Syst. I

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Abstract-The generalized method of time and transfer constants is introduced. It can be used to determine the transfer function to the desired level of accuracy in terms of time and transfer constants of first-order systems using exclusively low frequency calculations. This method can be used to determine the poles and zeros of circuits with both inductors and capacitors. An inductive proof of this generalized method is given which subsumes special cases, such as methods of zero-and infinite-value time constants. Several important and useful corollaries of this method are discussed and several examples are analyzed.Index Terms-Bandwidth enhancement techniques, circuit Analysis, Cochran-Grabel method, determination of poles and zeros, infinite-value time constants (IVT), method of time and transfer constants (TTC), zero-value time constants (ZVT) .

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“…The pre-filter section is a frequency dependent negative resistance (FDNR) based circuit that reutilizes the mixer load resistor R f , to create a third-order elliptic response at the mixer output and PMA input. In early 1970s, FDNRs were used extensively to realize high order filter functions [13][14][15][16][17]. However, drawbacks associated in the filter implementations, such as the total number of opamps required, have limited their use as a filter section.…”

Section: Baseband Architecturementioning

confidence: 99%

A universal low-noise analog receiver baseband in 65-nm CMOS

Tekin

Elwan²,

Pedrotti

2010

Analog Integr Circ Sig Process

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In this paper, a novel universal receiver baseband approach is introduced. The chain includes a postmixer noise shaping blocker pre-filter, a programmable-gain post mixer amplifier (PMA) with blocker suppression, a differential ramp-based novel linear-in-dB variable gain amplifier and a Sallen-Key output buffer. The 1.2-V chain is implemented in a 65-nm CMOS process, occupying a die area of 0.45 mm 2 . The total power consumption of the baseband chain is 11.5 mW. The device can be tuned across a bandwidth of 700-KHz to 5.2-MHz with 20 kHz resolution and is tested for two distinct mobile-TV applications; integrated services digital broadcasting-terrestrial ISDB-T (3-segment f c = 700 kHz) and digital video broadcastingterrestrial/handheld (DVB-T/H f c = 3.8 MHz). The measured IIP3 of the whole chain for the adjacent blocker channel is 24.2 and 24 dBm for the ISDB-T and DVB-T/H modes, respectively. The measured input-referred noise density is 10.5 nV/sqrtHz in DVB-T/H mode and 14.5 nV/ sqrtHz in ISDB-T mode.

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Network Transfer Functions Using the Concept of Frequency-Dependent Negative Resistance

Cited by 198 publications

References 7 publications

A fractional perspective to the bond graph modelling of world economies

A fractional perspective to the bond graph modelling of world economies

Generalized Time- and Transfer-Constant Circuit Analysis

A universal low-noise analog receiver baseband in 65-nm CMOS

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