Time domain measurement of phase noise in a spin torque oscillator
Mark W. Keller, A. B. Kos, T. J. Silva, W. H. Rippard, and M. R., Pufall

TL;DR
This paper presents a method for measuring phase noise in a spin torque oscillator using zero crossings, revealing a thermal-driven $1/f^2$ noise spectrum and demonstrating phase noise reduction via a phase-locked loop.
Contribution
It introduces a novel time domain measurement technique for phase noise in spin torque oscillators and compares it with traditional spectral methods.
Findings
Phase noise spectrum follows a $1/f^2$ trend, indicating thermal fluctuations.
Measured linewidth from phase noise is about 70% of spectrum analyzer results.
Phase-locked loop effectively reduces phase noise within its bandwidth.
Abstract
We measure oscillator phase from the zero crossings of the voltage vs. time waveform of a spin torque nanocontact oscillating in a vortex mode. The power spectrum of the phase noise varies with Fourier frequency as , consistent with frequency fluctuations driven by a thermal source. The linewidth implied by phase noise alone is about 70 % of that measured using a spectrum analyzer. A phase-locked loop reduces the phase noise for frequencies within its 3 MHz bandwidth.
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