Nuclear magnetic resonance (NMR) spectroscopy is widely used in fields ranging from chemistry and materials science to neuroscience. Nanoscale NMR spectroscopy using nitrogen-vacancy (NV) centers in diamond has emerged as a promising platform due to an unprecedented sensitivity down to the single spin level. At the nanoscale, high nuclear spin polarization through spin fluctuations (statistical polarization) far outweighs thermal polarization. However, until now efficient NMR detection using coherent averaging techniques could not be applied to the detection of statistical polarization, leading to long measurement times. Here we present two protocols to enable coherent averaging of stochastic oscillatory signals through rectification. We demonstrate these protocols on an artificial radio frequency signal detected with a single NV center at 2.7 T. The signal-to-noise scaling with number of measurements $N$ increases from $N^{0.5}$ to $N^1$, improving the measurement time significantly. The relevance of rectification for the detection of statistically polarized nuclear spins using ensembles of NV centers is outlined, paving the way for efficient nanoscale NMR spectroscopy.

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• NV centers
• Quantum memories
• Quantum sensing
• Confocal imaging
• Microwave techniques
• Nuclear magnetic resonance
• Optical microscopy
• RF, microwave, & terahertz sources