Cellular/satellite communications system with improved frequency re-use

An apparatus for transmitting signals to a plurality of remote units comprising:

• means for correlating a signal received from a new remote unit during random access transmission with a plurality of individual antenna beam element signals to determine a new column of coefficients for a receive matrix;
• means for determining a new inverse C-matrix for receiving traffic from the new remote unit based on an old inverse C-matrix and the new column;
• means for transforming the new column to a new transmit C-matrix row by scaling relative coefficient phase angles using a ratio of up- to down-link frequencies;
• means for determining a new transmit inverse C-matrix based on an old transmit inverse C-matrix and the new transmit C-matrix row, and
• means for transmitting signals to said remote units using said new transmit inverse C-matrix.

An apparatus for transmitting signals to a plurality of remote units comprising:

• a correlator for correlating a signal received from a new remote unit during random access transmission with a plurality of individual antenna beam element signals to determine a new column of coefficients for a receive matrix;
• logic for determining a new inverse C-matrix for receiving traffic from the new remote unit based on the old inverse C-matrix and the new column;
• logic for transforming the new column to a new transmit C-matrix row by scaling relative coefficient phase angles using a ratio of up- to down-link frequencies;
• logic for determining a new transmit inverse C-matrix based on an old transmit inverse C-matrix and the new transmit C-matrix row, and
• a transmitter for transmitting signals to said remote units using said new transmit inverse C-matrix.