Quick X-ray pulsar positioning and velocimetry approach based on quantum CS

CS (compressive sensing) is adept in the signals of X-ray pulsars. The observation matrix in CS is a core technology. In the CS for X-ray pulsars, the observation matrix has three significant indexes: simple computation, arbitrary size and high precision. To optimize the observation matrix, we propose a quick quantum-based CS, and apply it to the pulsar positioning and velocimetry approach. In the quantum-based CS, the profile dictionary with multi-skewness-degrees and multi-phases are comprised of the X-ray pulsar profiles with multiple phases and skewness degrees. This pulsar profile dictionary is also adopted as the probability amplitude of quantum. The multiple quantum observations of the dictionary form the quantum observation matrix. The quantum observation matrix explores the uncertainty of quantum, and improves its diversity. As the super-resolution sparse recovery, the quantum matched estimation approach provides the pulsar positioning and the pulsar velocimetry simultaneously. Simulation results indicate that compared with the χ² velocimetry, the quick quantum CS-based pulsar positioning and velocimetry has highly accurate and less calculation.