1. A method to determine earth formation properties, the method comprising: positioning a logging tool within a wellbore in the earth formation, the logging tool having a first sub having at least three tilted transmitter antennas and a second sub having at least one tilted receiver antenna, wherein each of the antennas is linearly independent of the others; rotating the logging tool about a tool longitudinal axis; energizing the transmitter antennas; measuring a coupling signal between the transmitter antennas and the receiver antenna for a plurality of angles of rotation; determining components of an electromagnetic coupling tensor; and determining the earth formation properties using the electromagnetic coupling tensor components.