Analytical Study of Wide-Band Bandpass Filters Based on Wire-Bonded Multiconductor Transmission Lines With Lh Behaviour

Abstract

Abstract-This paper presents a design methodology of wide-band bandpass filters based on short-circuited multi-conductor transmission lines with bonding wires between alternated strips. General design guidelines, based on analytical equations, are derived and a lefthanded behaviour of the multiconductor structure is inferred and studied. Analytical equations are assessed by means of full-wave electromagnetic simulations and experimental work. A very good agreement between theoretical results and measurements is achieved, that allows both the design and performance analysis of filters without the need for costly electromagnetic simulations. In addition, the equations presented yield a compact design of the filter with a lefthanded behavior.

Analysis of wire-bonded multiconductor transmission line-based phase-shifting sections

“…[4,5] The input admittance matrix of a wire-bonded MTL was derived in [31] and design equations for an interdigital directional coupler were obtained. By using this input admittance matrix a CRLH-TL, [7,10] a bandpass filter [9] and a balun [6] have been designed and manufactured. However, a new approach is accomplished in this work to obtain general design equations of reflection-type phase shifters based on wire-bonded MTLs.…”

“…These two configurations are widely employed in designing filters, baluns, impedance transformers, DC blocks, interdigital capacitors, and spiral inductors. [3][4][5][6][7][8][9][10] Therefore, two general equivalent circuits for the open-and short-circuited wire-bonded MTL that provide some physical insight into their frequency behaviors and that can be easily used by designers, are obtained in this section.…”

“…Notwithstanding, given that the use of open-and short-circuited coupled lines has been fostered for realizing bandpass or bandstop filters, [3,4] wideband baluns [5,6] and composite right/left handed transmission lines (CRLH), [7][8][9][10] two general equivalent circuits as a function of the number of conductors and the coupling factor are presented. These two new circuits extend the known models for the classic two-strip coupled lines [3,5] and thus, they can be easily used to derive the design equations of filters based on cascaded wire-bonded MTL sections.…”

Analytical Design of Wire-Bonded Multiconductor Transmission-Line-Based Ultra-Wideband Differential Bandpass Filters

“…The synthesis procedure, as in [16]- [18], is carried out by computing and equating the transfer functions of the proposed filters to Butterworth or Chebyshev filtering functions. Thus, the theory given in [19] for bandpass filters is extended and generalized to obtain closed-form design formulas. Once the fractional bandwidth (FBW) and required return losses are chosen, the circuit design parameters can be calculated.…”

Generalized Analytical Design of Broadband Planar Baluns Based on Wire-Bonded Multiconductor Transmission Lines

“…Results presented herein are particularly helpful in designing baluns using closed-form design equations irrespective of the number of conductors and the coupling factor and new equations are advisable for designing devices based on coupled lines where it is necessary to control both the magnitude and the phase of the frequency response. Accordingly, it is important to remark that this theory can be also employed to design coupled-line ring hybrids [21], artificial composite right/left handed transmission lines [22,23], ratrace couplers [24], filters [25,26], impedance transformers [27], power dividers [28], and so on. Further, in keeping with the trend toward miniaturization, the comprehensive analysis of the wire-bonded MTL is essential, even more with the recent upsurge in systems based on coupled lines [24][25][26][27][28].…”