A concurrent dual-band self-oscillating mixer (SOM), based on a ring-shaped stepped-impedance resonator, is proposed and analyzed in detail. Taking advantage of the ring even and odd resonances, the circuit can operate in concurrent dual quasi-periodic mode and injection-locked mode. In the second case, it behaves as a dual-band zero-intermediate-frequency (IF) mixer. Initially, an analytical study of the SOM behavior in the two modes is presented. Then a variety of accurate numerical methods are used for an in-depth investigation of the main aspects of its performance, including stability, conversion gain, linearity, and phase noise. The recently proposed contour-intersection technique and the outer-tier perturbation analysis are suitably adapted to the SOM case. A method is also presented to distinguish the parameter intervals leading to heterodyne and to zero-IF operation at both the lower and upper frequency bands. In the zero-IF SOM, the possible instantaneous unlocking in the presence of modulated input signals is investigated and avoided. The methods have been applied to a dual mixer at the frequencies 2.4 and 4.1 GHz.

中文翻译：

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双功能并发双频自振荡混频器

提出并详细分析了一种基于环形阶梯阻抗谐振器的并发双频带自振荡混频器 (SOM)。利用环偶谐振和奇谐振，该电路可以同时运行在双准周期模式和注入锁定模式下。在第二种情况下，它充当双频带零中频 (IF) 混频器。首先，介绍了两种模式下 SOM 行为的分析研究。然后使用各种精确的数值方法对其性能的主要方面进行深入研究，包括稳定性、转换增益、线性度和相位噪声。最近提出的轮廓相交技术和外层扰动分析适用于 SOM 情况。还提出了一种方法来区分导致外差和零中频操作的参数区间在低频段和高频段。在零中频 SOM 中，研究并避免了存在调制输入信号时可能的瞬时解锁。该方法已应用于频率为 2.4 和 4.1 GHz 的双混频器。