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In this brief, a harmonic-controlled substrate-integrated defected ground structure (SIDGS) resonator with tuning capacitor is proposed for the design of tunable filter. Such resonator exhibits a harmonic-controlled characteristic. The fundamental resonant frequency can be properly tuned, while the spurious resonance is controlled at much higher frequency to achieve a wide stopband. To verify the principle, a tunable bandpass filter (BPF) is designed and fabricated based on the resonator. The center frequency can be tuned from 1.75 to 2.7 GHz. Meanwhile, the stopband can extend up to 9.5 GHz with a rejection level of 20 dB for all tuning cases. The BPF also exhibits low insertion loss (i.e., 1.1–1.9 dB) and compact size (i.e., 0.07 ${\lambda _{g}}\,\,{\times }\,\,0.08\,\,{\lambda _{g}}$ , where ${\lambda _{g}}$ is the microstrip guided wavelength at the 1.75 GHz). [ABSTRACT FROM AUTHOR]

In this article, a distributed-swing-boosting and harmonic-impedance-expanding multi-core oscillator is proposed to achieve low phase noise and high figure-of-merit (FoM), simultaneously. First, a distributed-coupling multi-core topology is introduced to reduce the chip area with no mode ambiguity. Then, the distributed-swing-boosting and harmonic-impedance-expanding structure is developed to boost the gate swing and square-like waveform of $V_{\text {DS}}$. The common-mode (CM) resonances around the second harmonic and the differential-mode (DM) resonances around the third harmonic are utilized to suppress the flicker noise up-conversion and achieve harmonic shaping. Meanwhile, the dual-resonance response expands the high-impedance frequency ranges around the harmonics, and thus, the effect of harmonic shaping can be obtained over a wide frequency range. Fabricated in a 40-nm CMOS process, the oscillator measured exhibits low phase noise and high FoM simultaneously with a compact chip size. The minimum phase noise is −138.9 dBc/Hz at the 1-MHz offset, corresponding to an FoM of 195.1 dBc/Hz. The 1/ $f^{3}$ phase noise corner is 100–130 kHz over the 26.6% tuning range. [ABSTRACT FROM AUTHOR]