Photonic measurement of microwave signals promises broader bandwidth, higher resolution, and increased resilience to electromagnetic interference relative to conventional electronic instruments for the same size, weight and power (SWaP). Here we demonstrate a microwave photonic spectrometer based on laser speckle pattern imaging. We modulate the RF signal on a frequency-stabilized CW laser using an electro-optic intensity modulator. The modulated CW laser travels through a 100-meter long high-NA multimode optical fiber before collection and recording on a low noise, high dynamic range silicon camera. An RF tone generator is stepped over the desired operational range of the spectrometer with frequency step size on the order of the desired frequency resolution to record the associated speckle pattern. An unknown signal under test is then generated and recovered from the recorded speckle patterns using regression analysis techniques. The spectrometer has been demonstrated over a 17-GHz frequency range with single tone resolution of better than 5-MHz using a penalized ℓ1 norm (lasso) regression.
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