Abstract: The present disclosure relates to hydroxypheophorbide compounds with bioactivities towards obesity and obesity-related co-morbidities. Therefore, the present subject-matter discloses hydroxypheophorbide compounds or a pharmaceutically acceptable salt, hydrate, solvate, N-oxide, stereoisomer, diastereoisomer, enantiomer or atropisomer, polymorph for use in medicine comprising formula (I), wherein R is CnH(2n-1) and n is an entire number multiple of 5. The compound of the present disclosure may be use in the therapy or treatment of obesity, an obesity-related disorder, an obesity related disease, being overweight, an obesity-related condition, or lipid obesity disorders.

Abstract: A network node jointly precodes multi-user (MU) multiple-input multiple-output (MIMO) transmissions simultaneously sent from geographically distributed base stations to a plurality of mobile terminals over associated downlink MU-MIMO channels. The node receives feedback that describes statistics of the downlink MU-MIMO channels, including channel mean and covariance. The node then computes, based on the channel means and covariances, uplink input covariances for the mobile terminals that would collectively maximize a first or second-order approximation of the ergodic capacity of dual uplink MU-MIMO channels, subject to a global transmit power constraint that comprises the sum of individual transmit power constraints for the base stations.