Abstract: A transceiver is provided which includes a transmitter for transmitting base band signals at a first operating frequency. The transmitter also includes a lookup table for storing correction coefficients for correcting the base band signals, a pre-distorter for correcting the base band signals and a receiver for receiving the base band signals transmitted by a remote transmitter in a first mode and by the transmitter in a second mode. The receiver includes apparatus for processing the received base band signals, a switching device for switching to the processing apparatus during the first mode and to the incoming signals to the lookup table updater during the second mode. The receiver also includes a lookup table updater, operative during the second mode, for receiving the signals transmitted by the transmitter and for updating the lookup table.

Abstract: An apparatus and method are provided for simplifying a finite field division, including inputs for the initial condition signals a(x), b(x), and p(x), and providing at an output node the signal c(x), where c(x)=a(x)/b(x) without intermediate inverter circuitry for finding 1/b(x). A reference register initialized to b(x), and a divider register initialized to a(x). Both registers are manipulated in parallel by a logic circuit which responds to the contents of the reference register, converting its contents to 1.Claim By applying the same manipulations to the divider register, its contents are converted from a(x) to a(x)/b(x).One embodiment of a finite field divider according to the present invention is used to provide a single finite field division of a single set of values a(x), b(x) and p(x). Another embodiment processes continuous streams of a(x), b(x) and p(x) values, to provide a continuous stream of c(x) values delayed by a calculation time.