ALGEBRAIC GENERATORS OF SEQUENCES FOR COMMUNICATION SIGNALS

摘要

An apparatus for modulating communication signals includes a transceiver for receiving and transmitting the signal, a storage medium for storing computer implemented program code components for generating sequences, and a processor in communication with the storage medium and the transceiver. The processor executes the computer implemented program code components to generate an exponential function, a log function, or an index function and a finite field Z of prime numbers p_PI Z_P-OneA family of shift sequences or arrays is generated using a polynomial or free function polynomial. Multiple columns of the arrays are replaced with pseudo-noise sequences at the same cyclic shift as the shift sequence for each of the columns to create a replaced array. When the array dimensions are relatively small, the replaced array or the sequence developed using the CRT from the array is applied to the carrier of the communication signal to generate a phase modulated communication signal.;