Real-Time Gapless Analog Time Frequency Analysis for Bandwidths above 20 GHz with Nanosecond Resolution

We propose a scheme for real-time, joint time-frequency analysis of arbitrary continuous optical signals. Through phase-only linear operations, we demonstrate the recovery of ns-duration transient events, 22-GHz bandwidth operation, and sub-GHz resolution. Billions of Fourier transforms per second are computed without information loss.