Remarks on Transient Amplitude Analysis of MOS Cross-Coupled Oscillators

Ebrahimi, Amir; Naimi, Hossein Miar; Adrang, Habib

doi:10.1587/transele.e94.c.231

Cited by 11 publications

(12 citation statements)

References 14 publications

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“…According to Abbasalizadeh and Miar-Naimi, 8 the -G m cells with different currents cause different SWOs with different amplitudes. Using the SWO voltage amplitude proposed by previous works 8,17 derives the RTWO phase error formula due to the inequality of -G m cell currents Using the Abbasalizadeh and Miar-Naimi 8 claims that in the RTWO with phase error, we can produce an error to cancel the primary phase error. This error and the initial phase error should have the same amplitude with opposite signs to cancel each other.…”

Section: The Analysis Of the Phase Error Compensation Techniquementioning

confidence: 99%

Automatic phase error compensation of rotary traveling wave oscillator: Analysis and design

Fallahtabar

Abbasalizadeh

Naimi

2023

Circuit Theory & Apps

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A new rotary traveling wave oscillator (RTWO) with automatic phase error compensation feedback is proposed in this paper. By introducing a new negative transconductor (ÀG m cell) circuit, the currents in four ÀG m cells adjust differently to cancel the phase errors. To better understand the new RTWO phase error compensation technique and design procedure of the whole system, the system analysis for describing the phase error compensation technique is provided. The design considerations of each block of the new RTWO at the circuit level are clarified. Besides, the stability of the whole system is analyzed. Appropriate simulations have been done in 0.18 μm CMOS technology with a 1.8 V supply voltage to evaluate the new RTWO performance and its accuracy. The evaluations verify the capability of the new RTWO to cancel the phase error.

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Section: The Analysis Of the Phase Error Compensation Techniquementioning

confidence: 99%

Automatic phase error compensation of rotary traveling wave oscillator: Analysis and design

Fallahtabar

Abbasalizadeh

Naimi

2023

Circuit Theory & Apps

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“…Let us first consider the case that the circuit parameters lead to a saturation‐like characteristic for i nl ( v ), as shown in Figure (a). Thus, in absence of injection, that is, v in = 0, we have i ( v , v in ) = i nl ( v ) ≈ − I 0 sgn( v ) , where I 0 can be estimated starting from the measured or simulated voltage–current characteristic of the active part of the ILFD, that is, i ( v , v in ).…”

Section: Analysis Of a Complementary Differential Lc Injection‐lockedmentioning

confidence: 99%

“…Let us first consider the case that the circuit parameters lead to a saturation-like characteristic for i nl (v), as shown in Figure 4(a). Thus, in absence of injection, that is, v in = 0, we have i(v,v in ) = i nl (v) % À I 0 sgn (v) [16][17][18][19], where I 0 can be estimated starting from the measured or simulated voltage-current characteristic of the active part of the ILFD, that is, i(v,v in ). Then, if a signal v in 6 ¼ 0 is applied into the gate of the tail device, the voltage-current characteristic is modified and the function g(v) defined in (5), which takes into account the dependence of the ILFD nonlinearity from the input signal, can be estimated approximating the derivative through a finite difference between two measured or simulated voltage-current characteristics obtained for small and constant values of v in , that is,…”

Section: Saturation-like Nonlinearitymentioning

confidence: 99%

Nonlinear dynamics of divide‐by‐two injection‐locked frequency dividers in locked operation mode

Buonomo¹,

Schiavo²

2013

Circuit Theory & Apps

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SUMMARY A method for analyzing the nonlinear dynamics of the injection‐locked frequency dividers in synchronized operation mode is presented, including the stability analysis of locked states. We use a specific divide‐by‐two circuit, namely a differential LC CMOS divider with a complementary topology, as a guideline for presentation, showing that the sizing of the devices significantly affects the synchronization mechanism of the divider, which exhibits a very rich dynamical behavior. We provide closed‐form expressions to determine the amplitude and the phase in the locked state, as well as the locking range, leading to accurate results, which are validated by numerical simulations. The presented analysis of the frequency divider dynamics enables us to establish that stable locked oscillations occur on the whole locking range predicted by the well‐known Adler's equation and that these are possible also beyond that range. Copyright © 2013 John Wiley & Sons, Ltd.

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“…If the active part of the frequency divider can be modelled by a saturation-like nonlinearity [15][16][17], that is, (V, V in ) = − 0 (1 + V in ) sign(V), the following coefficients are obtained for the harmonics nl = −4 0 / , in0 = 0, 1 = nl , and 3 = − 1 /3, and model (17) leads to the following:…”

Section: Saturation-like Nonlinearitymentioning

confidence: 99%

Investigation on Locking and Pulling Modes in Analog Frequency Dividers

Buonomo

Schiavo

2013

Journal of Electrical and Computer Engineering

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We compare the main analytical results available to estimate the locking range, which is the key figure-of-merit of LC frequency dividers based on the injection locking phenomenon. Starting from the classical result by Adler concerning injection-locked oscillators, we elucidate the merits and the shortcomings of the different approaches to study injection-locked frequency dividers, with particular emphasis on divider-by-2. In particular, we show the potential of a perturbation approach which enables a more complete analysis of frequency dividers, making it possible to calculate not only the amplitude and the phase of the locked oscillation, but also the region where it exists and is stable, which defines the locking region. Finally, we analyze the dynamical behaviour of the dividers in the vicinity of the boundary of the locking region, showing that there exists a border region where the occurrence of the locking or the pulling operation mode is possible, depending on the initial conditions of the system.

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Remarks on Transient Amplitude Analysis of MOS Cross-Coupled Oscillators

Cited by 11 publications

References 14 publications

Automatic phase error compensation of rotary traveling wave oscillator: Analysis and design

Automatic phase error compensation of rotary traveling wave oscillator: Analysis and design

Nonlinear dynamics of divide‐by‐two injection‐locked frequency dividers in locked operation mode

Investigation on Locking and Pulling Modes in Analog Frequency Dividers

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