Wideband frequency-hopping measurement based on quantum compressed sensing

Wideband frequency-hopping measurement is crucial for the stable operation of frequency-hopping communication systems. Traditional digital signal processing methods based on the Nyquist-Shannon sampling theorem are limited by bandwidth. Although compressed sensing reduces the sampling rate for analog-to-digital converters, its reliance on high-speed pseudo-random sequences restricts practical applications. In this paper, we propose a wideband frequency-hopping measurement method based on quantum compressed sensing, which enables dynamic capture of wideband frequency-hopping signals. By utilizing coherent state as quantum resources and mapping frequency-hopping signal onto photonic wave functions via an electro-optical modulator, a compressive measurement system is constructed that leverages the inherent randomness of coherent photon measurement collapse, and successfully achieved measurement and reconstruction of a frequency-hopping signal with 5 GHz bandwidth and a hopping rate of 100 kHop/s. A high data compression ratio of 2.1 × 10³ was attained at a frequency-hopping rate of 1 kHop/s. By integrating time-frequency analysis methods with Bayesian optimization algorithm for frequency-hopping parameter estimation, a time estimation accuracy of 1 µs is achieved. Our research offers what we believe to be a new solution for wideband frequency-hopping measurement and can be extended to various fields such as radar and cognitive radio.