Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials

Perenic, G.; Stamenković, Negovan; Stojanović, Nikola; Denić, Nebojša

doi:10.13164/re.2018.1112

Cited by 5 publications

(7 citation statements)

References 12 publications

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“…Practical chained-function filters have previously been demonstrated in microstrip transmission line [28] and metalpipe rectangular waveguides [13], [29]- [32]. In 2017, non-Chebyshev seed functions were introduced into CFFs; for example, with Legendre [33], Jacobi [34] and then elliptical [32] polynomials.…”

Section: Chained-function Filtersmentioning

confidence: 99%

3-D Printing Quantization Predistortion Applied to Sub-THz Chained-Function Filters

et al. 2022

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This paper investigates physical dimension limits associated with the low-cost, polymer-based masked stereolithography apparatus (MSLA) 3-D printer, with 50 µm pixels defining the minimum print feature size. Based on the discretization properties of our MSLA 3-D printer, multi-step quantization predistortion is introduced to correct for registration errors between the CAD drawing and slicing software. This methodology is applied to G-band 5 th order metal-pipe rectangular waveguide filters, where the pixel pitch has an equivalent electrical length of 8.5 • at center frequency. When compared to the reference Chebyshev filter, our chained-function filter exhibits superior S-parameter measurements, with a low insertion loss of only 0.6 dB at its center frequency of 182 GHz, having a 0.9% frequency shift, and an acceptable worst-case passband return loss of 13 dB. Moreover, with measured dimensions after the 3-D printed parts have been commercially electroplated with a 50 µm thick layer of copper, the re-simulations are in good agreement with the S-parameter measurements. For the first time, systematic (quantization) errors associated with a pixelbased 3-D printer have been characterized and our robust predistortion methodology has been successfully demonstrated with an upper-millimeter-wave circuit. Indeed, we report the first polymer-based 3-D printed filters that operate above W-band. As pixel sizes continue to shrink, more resilient (sub-)THz filters with ever-higher frequencies of operation and more demanding specifications can be 3-D printed. Moreover, our work opens-up new opportunities for any pixel-based technology, which exhibits registration errors, with its application critically dependent on its minimum feature size.

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Section: Chained-function Filtersmentioning

confidence: 99%

3-D Printing Quantization Predistortion Applied to Sub-THz Chained-Function Filters

et al. 2022

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“…The formulation of chained-elliptic functions follows the same transfer function approximation for classical filters [5][6][7]. The general representation of the squared magnitude response is in the following form:…”

Section: Polynomial Generationmentioning

confidence: 99%

“…The reduction in selectivity and rejection properties will greatly compromise the performance of the filter, especially in narrow-band applications that require high selectivity due to the stringent spectrum utilization. Recent studies on modifying chained-function polynomials have been introduced in [7,8], but the resulting transfer functions are all-pole functions, which limit the selectivity and close-to-band rejection improvement.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of Chained-Elliptic Function Waveguide Bandpass Filter With High Rejection

Ng¹,

Cheab²,

Wong³

et al. 2020

PIER C

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This paper describes the synthesis of a bandpass filter to achieve high selectivity and rejection properties using a new class of filter functions called chained-elliptic function filters. Chainedelliptic filters have higher selectivity than Chebyshev function filters and have the property of sensitivity to manufacturing tolerance reduction in chained-function filters. The proposed design has high selectivity and reduced sensitivity, enabling easier and faster filter fabrication. The characteristic polynomials of chained-elliptic function filters are derived (through chaining elliptic filtering function) and extracted to form a coupling matrix of the bandpass filter. The novel transfer polynomials are given in detail, and a thorough investigation of the filter characteristics is performed. A theoretical comparison with Chebyshev and elliptic filters of the same order is performed to ascertain the demonstrated advantages of this proposed filter class. A high frequency narrow-band fourth-order chained-elliptic function waveguide filter centred at 28 GHz with a fractional bandwidth of 1.61% is fabricated to validate the proposed design concept. A good match among the measured, simulated, and ideal filter responses is shown where the overall responses between measurement and simulation have a difference of approximately 2% which is within the acceptable limit. The chained-elliptic function concept will be useful in designing low-cost high-performance microwave filters with various fabrication technologies for millimetre-wave applications.

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“…The chained function on the other hand can be found to compromise between Butterworth and Chebyshev approximations [10], [11] because it could combine the advantages of both Butterworth functions (lower filter losses, lower sensitivity, and lower resonator unloaded-Q factor) and Chebyshev functions (i.e., higher out-of-band and higher selectivity rejection) [12]. The technique of chained transfer functions can reduce filter complexity, manufacturing tolerance, and, most importantly, post-manufacturing tuning processes [4], [13]. This technique has the potential to extend the state-of-the-art development in a highperformance tuning-less filter toward higher operating frequencies and narrow bandwidth applications [5].…”

Section: Introductionmentioning

confidence: 99%

Design and Synthesis of Parallel-Connected Dielectric Filter Using Chain-Function Polynomial

Chinda¹,

Cheab²,

Soeung³

2023

RADIOENGINEERING

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Design and synthesis of parallel connected dielectric filters using chained function polynomials are presented in this paper. This filter will offer reduced sensitivity to fabrication tolerance while preserving its return loss response within the desired bandwidth in comparison to traditional Chebyshev filters. A novel transfer function FN according to chained is derived for fourth and sixth-order filters and the synthesis technique is presented. To demonstrate the feasibility of this approach, the circuit simulation based on parallel connected topology is carried out in ADS while the design and simulation of the fourth-order filter in dielectric technology in HFSS. Considerable sensitivity analysis is conducted to prove a better fabrication tolerance of the filter. In terms of implementation, this design technique will serve as a very useful mathematical tool for any filter design engineer.

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Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials

Cited by 5 publications

References 12 publications

3-D Printing Quantization Predistortion Applied to Sub-THz Chained-Function Filters

3-D Printing Quantization Predistortion Applied to Sub-THz Chained-Function Filters

Synthesis of Chained-Elliptic Function Waveguide Bandpass Filter With High Rejection

Design and Synthesis of Parallel-Connected Dielectric Filter Using Chain-Function Polynomial

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