Orthogonal sequences can be developed and used for use training and
synchronizing in CDMA and TDMA systems. In particular, once a sequence is
developed that has the length of the product of the channel length and
the number of transmit antennas, the sequence is offset by a different
amount for each transmit antenna. For example, each sequence could be
offset by a multiple of the channel length for each transmit antenna,
where the multiple ranges from 0 to N-1, where N is the number of
transmit antennas. Furthermore, by not using exactly the same amount of
offset shifting for each transmit antenna, e.g., not having each signal
offset by the channel length, but keeping the overall total shifting the
same, e.g., the average of each shift is the channel length, it is
possible to determine at a receiver from which transmit antenna a
particular signal originated.