  Symmetrical NMR spectroscopy constitutes a vital branch of multidimensional
NMR spectroscopy, providing a powerful tool for the structural elucidation of
biological macromolecules. Non-Uniform Sampling (NUS) serves as an effective
strategy for averting the prohibitive acquisition time of multidimensional NMR
spectroscopy by only sampling a few points according to NUS sampling schedules
and reconstructing missing points via algorithms. However, current sampling
schedules are unable to maintain the accurate recovery of cross peaks that are
weak but important. In this work, we propose a novel sampling schedule termed
as SCPG (Symmetrical Copy Poisson Gap) and employ CS (Compressed Sensing)
methods for reconstruction. We theoretically prove that the symmetrical
constraint, apart from sparsity, is implicitly implemented when SCPG is
combined with CS methods. The simulated and experimental data substantiate the
advantage of SCPG over state-of-the-art 2D Woven PG in the NUS reconstruction
of symmetrical NMR spectroscopy.
