Abstract:In this letter, we propose a joint time synchronization and channel estimation (JTSCE) algorithm with embedded pilot for orthogonal time frequency space (OTFS) systems. It completes both synchronization and channel estimation using the same pilot signal. Unlike existing synchronization and channel estimation algorithms based on embedded pilots, JTSCE employs a maximum length sequence (MLS) rather than an isolated signal as the pilot. Specifically, JTSCE first explores the autocorrelation properties of MLS to estimate timing offset (TO) and channel delay taps. After obtaining these types of delay taps, the closed-form estimation expressions of the Doppler and channel gain of each propagation path are derived. Extensive simulation results indicate that compared to its counterparts, JTSCE achieves better bit error rate (BER) performance, close to that with perfect time synchronization and channel state information.
Abstract:Accurately modeling contact behaviors for real-world, near-rigid materials remains a grand challenge for existing rigid-body physics simulators. This paper introduces a data-augmented contact model that incorporates analytical solutions with observed data to predict the 3D contact impulse which could result in rigid bodies bouncing, sliding or spinning in all directions. Our method enhances the expressiveness of the standard Coulomb contact model by learning the contact behaviors from the observed data, while preserving the fundamental contact constraints whenever possible. For example, a classifier is trained to approximate the transitions between static and dynamic frictions, while non-penetration constraint during collision is enforced analytically. Our method computes the aggregated effect of contact for the entire rigid body, instead of predicting the contact force for each contact point individually, removing the exponential decline in accuracy as the number of contact points increases.