A combinatorial frequency system and method for transmitting data from LWD downhole operations to a surface location is provided. The system and method include obtaining data from at least one downhole sensor, encoding data by combinations of different harmonics, and (optionally) modulating the data using various frequency modulation techniques to produce a series of 3-40 bit rates. The system and method include transmitting the series as pressure wave signals through drilling fluid or through earth media by electromagnetic waves, detecting the signals, identifying at a surface location each frequency, modulating characteristics of each frequency, decoding each signal and forming output signals.