I. Introduction
Reflectionless or absorptive RF filters have been attracting considerable research interest in recent years since they allow to improve the operational performance and robustness of the entire RF front-end chain. These filters are able to protect RF active components in previous stages—e.g., power amplifiers and mixers of frequency converters—by dissipating the nontransmitted out-of-band RF-signal power inside themselves rather than reflecting it back to the source [1]. In this manner, they allow the removal of bulky isolators or attenuators initially integrated at the interstage level of the RF front-end chain [2]. Several examples of input- and two-port-reflectionless low-pass filters (LPFs) that eliminate undesired spurious signals and harmonics have been reported. In [3], two-port-reflectionless LPFs were developed using complementary even/odd-mode subcircuits associated with absorptive high-pass-type RF-signal subpaths. Moreover, twofold lumped-element-based LPFs with inverse-Chebyshev-type input-reflectionless responses were designed in [4]. In another approach, by means of the transfer function of conventional ladder-type LPFs, novel reflectionless LPF topologies with various classes of response were discussed in [5]. In addition, by exploiting resistively terminated microstrip-to-microstrip vertical transitions, a multilayered input-reflectionless LPF with extended upper stopband was proposed in [6]. However, all these previously reported single-ended reflectionless LPFs still suffer from large in-band group-delay variations especially at their 3-dB-referred passband edges, thus leading to severe phase-distortion issues for in-band-processed RF signals. In [7], a 40-GHz absorptive-type LPF with quasi-flat group-delay response was proposed. It is based on direct realization of the well-known lumped-element circuit network of the Gaussian-type filter [8], but applied to coplanar and microstrip technologies. Nevertheless, even for a tenth-order LPF design, its stopband suffers from low attenuation levels and does not have transmission zeros (TZs).