Abstract: A mobile music listening device synchronizing in a personalized way music and movement, and dedicated to improving the kinematics of the runner. Thanks to inertial units connected to a smartphone, the runner's steps are detected in real time by the mobile application. A dedicated algorithm adapts the pulsation of the musical excerpts in such a way as to bring the runner to a suitable cadence, capable of preventing injuries. A method for the synchronization of the rhythmic stimulation with the biological variability using a Kuramoto model characterized in that phase oscillator with a coupling term from the movement dynamics with parameters of, coupling strength, maximum and minimum frequencies for a fraction of the unmodified song frequency, maximum difference between the tempo and target frequency, Target the target frequency.

Abstract: The present application concerns an iterative bit-flipping decoding method using symbol or bit reliabilities, which is a variation of GRAND decoding and is denoted by ordered reliability bits GRAND (ORBGRAND). It comprises receiving a plurality of demodulated symbols from a noisy transmission channel; and receiving for the plurality of demodulated symbols, information indicating a ranked order of reliability of at least the most unreliable information contained within the plurality of demodulated symbols. A sequence of putative noise patterns from a most likely pattern of noise affecting the plurality of symbols through one or more successively less likely noise patterns is provided.