New Formulation of the Equations Describing the Locked States of Two Van der Pol Oscillators Coupled through a Broadband Network – Application to the Design of Two Differential Coupled VCOs
-
David Cordeau
,
Mihaela-Izabela Ionita
Abstract
In this paper, a new expression of the equations describing the locked states of two van der Pol oscillators coupled through a broadband network and allowing an accurate prediction of the oscillators' amplitudes is presented. To do so, the York's theory is improved using a more accurate van der Pol model in order to obtain a new system of four equations with four unknowns describing the locked states of two van der Pol oscillators coupled through a resonant network. Then, the case of a resistive coupling circuit is deduced from this new system of equations. The theory regarding the prediction of the oscillators' amplitudes is verified using Agilent's ADS software for the practical case of an array made of two differential Voltage Controlled Oscillators (VCOs) coupled through a resistive network.
©[2013] by Walter de Gruyter Berlin Boston
Articles in the same Issue
- Masthead
- Practical Design Issues of Sweeping Wideband Millimeter Wave Heterodyne Receiver Front-ends
- Hybrid SIW-GCPW Narrow-Wall 3 dB Coupler
- Interpolated Adaptive Doppler Filter for Estimating Velocity
- Crosstalk Suppression in High Data Rate and High Density Hard Disk Drive Interconnects Using Magnetic Composites
- Random Sequence Based Multipolling Method for Collecting Ubiquitous RFID Tag Data in Wireless LANs
- Hybrid DDS-PLL Frequency Synthesizer with Reference Clock Modulation
- New Formulation of the Equations Describing the Locked States of Two Van der Pol Oscillators Coupled through a Broadband Network – Application to the Design of Two Differential Coupled VCOs
- Joint Cooperative Temporal Sensing and Distributed Estimation for Bayesian Optimal Threshold
- Analysis of the Performance of the Two-way Relaying under the Influence of Channel Estimation Error and Co-channel Interference
Articles in the same Issue
- Masthead
- Practical Design Issues of Sweeping Wideband Millimeter Wave Heterodyne Receiver Front-ends
- Hybrid SIW-GCPW Narrow-Wall 3 dB Coupler
- Interpolated Adaptive Doppler Filter for Estimating Velocity
- Crosstalk Suppression in High Data Rate and High Density Hard Disk Drive Interconnects Using Magnetic Composites
- Random Sequence Based Multipolling Method for Collecting Ubiquitous RFID Tag Data in Wireless LANs
- Hybrid DDS-PLL Frequency Synthesizer with Reference Clock Modulation
- New Formulation of the Equations Describing the Locked States of Two Van der Pol Oscillators Coupled through a Broadband Network – Application to the Design of Two Differential Coupled VCOs
- Joint Cooperative Temporal Sensing and Distributed Estimation for Bayesian Optimal Threshold
- Analysis of the Performance of the Two-way Relaying under the Influence of Channel Estimation Error and Co-channel Interference
