A 360° Low Phase Error Tunable Phase Shifter With High-Pass and Low-Pass Networks Based on SISL
Jianteng Yang, Kaixue Ma, Yongqiang Wang, Wu Yi, Haipeng Fu, Ningning Yan
Abstract
This article proposes a novel 360 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$^{\circ}$</tex-math> </inline-formula> continuously tunable phase shifter employing a synergy of high-pass and low-pass networks. The analysis of the L-type high-pass and low-pass networks elucidates the correlation between phase shift and phase slope, alongside capacitance and frequency. Exploiting the divergent phase slope of high-pass and low-pass networks at different frequencies and circuit parameters, a 180 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$^{\circ}$</tex-math> </inline-formula> continuously tunable phase shifter with low in-band phase error is designed by utilizing the eight orders of high-pass and low-pass networks to compensate for each other. Further innovation yields a 360 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$^{\circ}$</tex-math> </inline-formula> phase shifter, achieved by integrating a 180 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$^{\circ}$</tex-math> </inline-formula> switch-type phase shifter (STPS) reliant on dual <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\pi $</tex-math> </inline-formula> -type pathways. The proposed phase shifter is fabricated and measured, confirming the efficacy of the proposed phase shifter, revealing a maximal in-band phase error of merely 4.98 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$^{\circ}$</tex-math> </inline-formula> within the 2.3–2.6 GHz. The incorporation of substrate-integrated suspended line (SISL) double-side inductors and capacitors consolidates its advantages, this phase shifter achieving a compact size which is only 0.335 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\lambda_{{\text{g}}}$</tex-math> </inline-formula> <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\times$</tex-math> </inline-formula> 0.085 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\lambda_{{\text{g}}}$</tex-math> </inline-formula> .