Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...

Sustained resonance in a linear oscillator is achievable with a drive whose constant frequency matches the resonant frequency of the oscillator. But in oscillators with nonlinear restoring forces such as the pendulum, Duffing and Duffing-Van der Pol oscillator, the resonant frequency changes as the amplitude changes, so a constant frequency drive results in a beat oscillation instead of sustain...

A PLDRO (Phase Locked Dielectric Resonator Oscillator) with the output frequency of a fractional multiple of reference is proposed and implemented. The key element in the proposed PLDRO is an image rejection mixer placed between a VCDRO (Voltage Controlled Dielectric Resonator Oscillator) and SPD (Sampling Phase Detector). The image rejection mixer shifts the coupled signal from the VCDRO befor...

• Calibration of internal RC oscillator via UART • Synchronization/ calibration to within +/-2% of target frequency with a single synch-byte. • Alternate run-time synchronization/calibration to within +/-1% of target frequency with double synch-byte. • Support for all AVRs with tunable RC oscillator • 50% duty cycle required for correct synchronization/ calibration. • Enables robust UART commun...

We study an underdamped oscillator with random frequency jumps. We describe the oscillator spectrum in terms of coupled susceptibilities for different-frequency states. Depending on the parameters, the spectrum has a fine structure or displays a single asymmetric peak. For nanomechanical resonators with a fluctuating number of attached molecules, it is found in a simple analytical form. The res...

Generally, AT-cut quartz crystals have a limited scope of use when it comes to high-precision measurement of very small impedance changes due to their nonlinear frequency-temperature characteristics in the range between 0 °C and 50 °C. The new method improving quartz oscillator frequency-temperature characteristic compensation is switching between two impedance loads. By modifying the oscillato...

In this paper, an intuitive analysis of a phase noise reduction technique is done, and then a modified structure is proposed to achieve higher phase noise reduction than the original one. This method reduces the impact of noise sources on the phase noise by decreasing closed-loop gain in zero-crossings points and moving this high closed-loop gain to the non-zero-crossings points. This reduction...

An approach to design of chaotic oscillators with controlled bandwidth in different frequency bands is proposed. One of possible mathematical models of the oscillator and simulation results are considered. Implementations of microwave chaotic oscillators and experimental results are demonstrated. Index terms – Dynamic chaos, chaotic oscillator, frequency-selective circuit, microstrip line, wide...

We recently demonstrated a polarization technique that eliminates the frequency drift due to dielectric charge in MEMS oscillators [1]. In this work we show that these oscillators are also firstorder insensitive to low-frequency voltage noise, with potential for significant positive impact on predicted close-to-carrier phase noise performance. Close-to-carrier noise also determines the limits o...

for a Brownian oscillator, where x(t) specifies the position of the particle or oscillator at time t, m is the mass, ( x is the viscous drag experienced by the particle, lVo is the oscillator frequency, and F(t) is the white-noise driving force. We also consider the rotational analogs of these two models, namely, a free single-axis rotator and a torsional oscillator. The corresponding Langevin ...