Frequency-Domain Study of Lock Range of Non-Harmonic Oscillators With Multiple Multi-Tone Injections

Yuan, Fei; Zhou, Yushi

doi:10.1109/tcsi.2012.2220494

Cited by 9 publications

(4 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Section: Volterra Circuits Of Relaxation Oscillatorssupporting

confidence: 77%

“…2. Note that the same result was obtained in our early study in [37] where a Fourier series approach was used. The preceding results not only reveal that the increase in the injection strength of the relaxation oscillator is caused by the non‐linear characteristics of the oscillators, they further provide a quantitative measure of injection strength at ω i , 3 ω i and 5 ω i , thereby enabling us to determine the lock range of the relaxation oscillator analytically. (4) To investigate the lock range of two different types of non‐harmonic oscillators, namely relaxation oscillators and ring oscillators, we note that ring oscillators typically have a less harsh non‐linear characteristic because of the absence of the positive feedback that exists in comparators.…”

Section: Volterra Circuits Of Relaxation Oscillatorssupporting

confidence: 75%

See 1 more Smart Citation

Study of injection‐locked non‐harmonic oscillators using Volterra series

Zhou¹,

Yuan²

2015

IET Circuits, Devices & Systems

Self Cite

View full text Add to dashboard Cite

This study presents a Volterra series approach to analyse injection-locked non-harmonic oscillators. We show that by depicting the voltage transfer characteristics of comparators using hyperbolic tangent functions, non-harmonic oscillators can be analysed analytically using a set of Volterra circuits that are linear, have the same topology and element values but different inputs. We further show that the larger lock range of non-harmonic oscillators as compared with that of their harmonic counterparts is because of the harsher non-linear characteristics of these oscillators and the lower-order attenuation of the high-order frequency components of the oscillators. The reduced non-linear characteristics of ring oscillators because of the absence of positive feedback also gives rise to a smaller lock range as compared with relaxation oscillators. These theoretical findings are validated using both the simulation results of relaxation oscillators and ring oscillators designed in IBM 130 nm complementary metal oxide semiconductor technology and the measurement results of ring oscillators implemented using commercial ICs.

show abstract

Section: Volterra Circuits Of Relaxation Oscillatorssupporting

confidence: 77%

Section: Volterra Circuits Of Relaxation Oscillatorssupporting

confidence: 75%

Study of injection‐locked non‐harmonic oscillators using Volterra series

Zhou¹,

Yuan²

2015

IET Circuits, Devices & Systems

Self Cite

View full text Add to dashboard Cite

show abstract

“…Nonharmonic injected oscillators, for instance, ring oscillators and relaxation oscillators, have been studied in several papers [21,23,26,30,46,50,52]. In [21], by using approach of the LC oscillators, a three-stage single-ended ring oscillator was studied.…”

Section: Review Of the Previously Significantly Published Papersmentioning

confidence: 99%

“…Furthermore, the relaxation oscillators with injection signals were presented in [46]. In addition, a perturbation projection vector (PPV) was employed for analyzing both harmonic and nonharmonic oscillators [18][19][20].…”

Section: Refsmentioning

confidence: 99%

Review of Injected Oscillators

Hazeri¹

2020

Modulation in Electronics and Telecommunications [Working Title]

View full text Add to dashboard Cite

Oscillators are critical components in electrical and electronic engineering and other engineering and sciences. Oscillators are classified as free-running oscillators and injected oscillators. This chapter describes the background necessary for the analysis and design of injected oscillators. When an oscillator is injected by an external periodic signal mentioned as an injection signal, it is called an injected oscillator. Consequently, two phenomena occur in the injected oscillators: (I) pulling phenomena and (II) locking phenomena. For locking phenomena, the oscillation frequency of the injection signal must be near free-running oscillation frequency or its sub-/super-harmonics. Due to these phenomena are nonlinear phenomena, it is tough to achieve the exact equation or closed-form equation of them. Therefore, researchers are scrutinizing them by different analytical and numerical methods for accomplishing an exact inside view of their performances. In this chapter, injected oscillators are investigated in two main subjects: first, analytical methods on locking and pulling phenomena are reviewed, and second, applications of injected oscillators are reviewed such as injection-locked frequency dividers at the latter. Furthermore, methods of enhancing the locking range are introduced.

show abstract

Injection-Locking of Oscillators: An Overview

Yuan

2019

Injection-Locking in Mixed-Mode Signal Processing

View full text Add to dashboard Cite

Frequency-Domain Study of Lock Range of Non-Harmonic Oscillators With Multiple Multi-Tone Injections

Cited by 9 publications

References 23 publications

Study of injection‐locked non‐harmonic oscillators using Volterra series

Study of injection‐locked non‐harmonic oscillators using Volterra series

Review of Injected Oscillators

Injection-Locking of Oscillators: An Overview

Contact Info

Product

Resources

About