Gradient descent cyclic algorithm — An algorithm to design the filter set in TDCFS method

Transmit diversity code filters set (TDCFSs) adopted in ATSC3.0 is a method using all-pass linear filters to minimize the possibility of cross-interference among the transmitted signals. This paper presents a new cyclic algorithm for the filter set design in TDCFS. In the case of designing the filter set to have almost identical correlation property, the proposed algorithm requires less iteration times than the algorithm from the literature because of its simplicity in calculation. Thus, it can be used to design the filter set consisting of a huge number of filters and long sequences filters with relatively lower complexity compared with the algorithms in literature. A numerical example and system simulation results are also provided in this paper to demonstrate the better performance than that of the state of the art.