A Low Power Active-Passive Dual Gm-boosted W-band Oscillator for Wireless Networ -on-Chip Applications

Baylon, Joe; Gopal, Srinivasan; Renaud, Luke; Ali, Sheikh Nijam; Heo, Deukhyoun

doi:10.1109/mwsym.2018.8439862

Cited by 5 publications

(3 citation statements)

References 9 publications

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“…By solving the above system of differential equations, a t ð Þ and θ t ð Þ can be obtained using matrices ( 20) and ( 21), i.e. a 0 1 ¼ da 1 dt and θ 0 1 ¼ dθ 1 dt are calculated from Equations ( 16) and ( 18), as well as a 0 2 ¼ da 2 dt and θ 0 2 ¼ dθ 2 dt from Equations ( 17) and (19). Hence, we have:…”

Section: A General Approach (Two-dimensional Averaging Method)mentioning

confidence: 99%

“…17,18 One of the circuit topologies with high performance is the use of oscillators with two coupled tanks. There are various methods for coupling the oscillator tanks, 15,19 one of the first and best of which is parallel coupling, presented in. 15,20,21 Two very significant parameters in determining the quality of oscillators are oscillation amplitude and phase noise.…”

Section: Introductionmentioning

confidence: 99%

“…One of the circuit topologies with high performance is the use of oscillators with two coupled tanks. There are various methods for coupling the oscillator tanks, 15,19 one of the first and best of which is parallel coupling, presented in 15,20,21 …”

Section: Introductionmentioning

confidence: 99%

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General closed‐form equations for amplitude of parallel coupled quadrature oscillator

Kiani Vosta,

Miar‐Naimi,

Javadi

2023

Circuit Theory & Apps

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SummaryIn this paper, for the first time, a new method with closed‐form analytical equations is presented to calculate the oscillation amplitude of fourth‐order oscillators, such as quadrature oscillators. This method is actually based on the general form of the differential equations describing the structure of the fourth‐order oscillators and finding a solution for the nonlinear differential equations governing this type of oscillator. The introduced method is a general method that is valid for all fourth‐order oscillators and is also independent of the oscillation frequency. Using the proposed method, complex and time‐consuming simulation tools will no longer be needed to calculate the oscillation amplitude in a steady state. Moreover, the presented closed‐form equations help the designers to understand the design compromises and design the oscillator for their specific and desired conditions. In addition, to evaluate the correctness of the presented equations, a comprehensive analysis of the oscillation amplitude of the quadrature oscillator in the steady state is performed, and a closed‐form equation is presented for the oscillation amplitude of the oscillator in the steady state, which is proposed for the first time in this paper. A comparison between the simulation results and theoretical computations confirms the validity of the proposed method.

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Section: A General Approach (Two-dimensional Averaging Method)mentioning

confidence: 99%