A simplified synthesis of lossless cascade analog and digital two-port networks

Jarmasz, M.R.; Martens, G.O.

doi:10.1109/31.108503

Cited by 10 publications

(5 citation statements)

References 18 publications

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“…As shown in Figure A1, the extraction of the circuit elements of the (2n 0 + 1) cascaded two-port network is carried out based on the decomposition of the chain matrix, which may be either ABCD matrix [24][25][26] or scattering transfer one [20,21,34]. As the whole process of the parameter extraction only involves the evaluation of summation E(s) + F(s) and difference E(s) + F(s), by Equation (A.30) they can be separated into odd and even parts and expressed in a factored form.…”

Section: A22 | Extraction Of Circuit Elementsmentioning

confidence: 99%

Three element resonator lowpass filter

Wang

Chen

2023

IET Microwaves Antenna & Prop

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The conventional lowpass prototype filter with the finite transmission zeros close‐to‐band edge often yields negative circuit elements that lead to a practical difficulty of physical realizations. This paper presents an alternative topology of the lowpass prototype filter named three element resonator lowpass filter, which is composed of series inductances and shunt three element resonators. For one‐section three element resonator lowpass filter, the closed‐form solutions of the non‐negative circuit elements are deduced based on its characteristic function recovered from a prescribed transmission zero. For multi‐section one, the associated numerical synthesis procedure using gradient‐based optimization is presented. In physical realization, a much more practical configuration of three element resonator is proven by the equivalent circuit transformation. A synthesis example of lowpass prototype filter with 12 pairs of transmission zeros illustrates the effectiveness of the numerical synthesis method. Also, a design example of five‐section three element resonator lowpass filter, which has a passband up to 1775 MHz, is implemented by the distributed elements based on its prototype circuit of the numerical synthesis. The measured results of the fabricated lowpass filter experimentally validate the prototype filter.

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Section: A22 | Extraction Of Circuit Elementsmentioning

confidence: 99%

Three element resonator lowpass filter

Wang

Chen

2023

IET Microwaves Antenna & Prop

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“…An algorithmic architecture that removes both of the matching requirement and the op amp finite-gain effect [6] was also reported, but at the cost of a substantial circuit complexity that significantly slows down the conversion speed. On the other hand, calibration [4], [7]- [9] is also widely used technique to address linearity problems. But calibrated ADC's are often associated with large power consumptions and chip areas [7], [8] due to the implementation of redundant calibration circuitry.…”

Section: Inherently Linear Capacitor Error-averaging Techniques For Pmentioning

confidence: 99%

“…On the other hand, calibration [4], [7]- [9] is also widely used technique to address linearity problems. But calibrated ADC's are often associated with large power consumptions and chip areas [7], [8] due to the implementation of redundant calibration circuitry. It is also well known that the performance of such converters are sensitive to temperature drift and circuit component aging.…”

Section: Inherently Linear Capacitor Error-averaging Techniques For Pmentioning

confidence: 99%

“…Thus, the parameter-extraction process may suffer from numerical roundoff error accumulation, especially when the filter order is large. An alternative extraction method was presented which employed complex arithmetic recomputation of the triplets that characterize a lower order network, instead of performing polynomial operations such as factorization, division, root extraction, and continued fraction expansion [7], [8]. The algorithm is acceptably immune to roundoff error accumulation and requires no pole-zero cancellations.…”

Section: Introductionmentioning

confidence: 99%

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Synthesis and pipelining of ladder wave digital filters

Kim

Chung

2000

IEEE Trans. Circuits Syst. II

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In conventional digital-domain ladder wave digital filter (WDF) design approaches, pole-zero cancellation of a reflection function is performed each time an adaptor parameter is calculated. In this brief, a new ladder WDF synthesis method in the digital domain is proposed. In this approach, adaptor combinations realizing a complex conjugate transmission zero pair are regarded as one module and pole-zero cancellation is performed after all the parameters in the module are calculated. By this approach, the number of pole-zero cancellations is reduced by 66% compared with that of the conventional methods, which not only reduces numerical error accumulation during the filter synthesis, but also simplifies the filter-synthesis procedures. Also, a ladder WDF pipeline method is proposed, which reduces the hardware overhead of the pipelined filter by about 33%-50% compared with that of the previous pipeline method.

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“…A method for the multiple-transmission-zero case where the polynomials are represented by The sample characterization given by (26) can be conveniently calculated by simply sampling the polynomials h and g at the points (25) as Note that for a transmission zero at infinity, first apply the mapping $ + l/$ to the polynomials h and g and, after rationalizing the numerator and denominator, let $ + 0. This mapping also changes the sign of ( I for all first-order sections.…”

Section: Calculation Of the Reflectance And Delay-sample Characterizamentioning

confidence: 99%

Synthesis of complex lossless two‐ports

Scarth¹,

Martens²

1994

Circuit Theory & Apps

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A new synthesis algorithm is presented for the realization of a doubly terminated complex lossless two-port from a given canonic set of scattering polynomials. The synthesis algorithm is based entirely on polynomial evaluations and thus polynomial arithmetic and routines for zero finding are not needed. The accuracy problem due to coefficient sensitivity is avoided. In particular, explicit knowledge of the intermediate polynomials is not required. The simplicity and functionality of the algorithm are based on a new representation of elementary sections given by a set of canonic parameters, namely the transmission zero of the section, the reflectance evaluated at the transmission zero and, for reciprocal sections, the return group delay evaluated at the transmission zero. A great deal of freedom is available, since transmission zeros with any multiplicity and located anywhere in the complex plane are realized independently. Also, complex networks composed exclusively of either inductors or capacitors as the dynamic elements are possible. An example is given to illustrate the robustness of the algorithm. and more recently as reference filters for complex wave digital

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A simplified synthesis of lossless cascade analog and digital two-port networks

Cited by 10 publications

References 18 publications

Three element resonator lowpass filter

Three element resonator lowpass filter

Synthesis and pipelining of ladder wave digital filters

Synthesis of complex lossless two‐ports

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