Nec America, Inc.

Ning Zhang

Gang Yang

A power of a square matrix is determined in a time approximately proportional to the upper integer of the base-2 logarithm of the order of the matrix. A preferred embodiment uses two types of look-up tables and two multipliers for a matrix of 15&#xd7;15, and is applied to a pseudorandom noise (PN) sequence phase correlation or state jumping circuit. An exact state of a PN code can be determined or calculated from applying an appropriate offset value into a control circuit. The control circuit can produce a PN sequence state from the offset value and typically does so within one system clock period regardless of the amount of the offset. Once the exact state is determined, it is loaded into a state generator or linear sequence shift register (LSSR) for generating a subsequent stream of bits or symbols of the PN code. The PN generator system may include state computing logic, a maximum length PN generator, a zero insertion circuit and a zero insertion skipping circuit.

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Richardson, TX, United States of America

Ning Zhang