Classical sensors for spectrum analysis are widely used but lack micro- or nanoscale spatial resolution. On the other hand, quantum sensors, capable of working with nanoscale precision, do not provide precise frequency resolution over a wide range of frequencies. Using a single spin in diamond, we present a measurement protocol for quantum probes which enables full signal reconstruction on a nanoscale spatial resolution up to potentially 100 GHz. We achieve $58\mathrm{nT}/\sqrt{\mathrm{Hz}}$ amplitude and $0.095\mathrm{rad}/\sqrt{\mathrm{Hz}}$ phase sensitivity and a relative frequency uncertainty of ${10}^{-12}$ for a 1.51 GHz signal within 10 s of integration. This technique opens the way to quantum spectrum analysis methods with potential applications in electron spin detection and nanocircuitry in quantum technologies.

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• Quantum metrology
• Nitrogen vacancy centers in diamond
• Solid-state detectors
• AC susceptibility measurements