US 9,813,181 B2
Algebraic generators of sequences for communication signals
Oscar Moreno De Ayala, Rio Pietas, PR (US); and Anatol Zygmunt Tirkel, East Brighton (AU)
Assigned to Optimark, L.L.C., San Juan, PR (US)
Filed by OPTIMARK, LLC, San Juan, PR (US)
Filed on Jun. 30, 2016, as Appl. No. 15/197,872.
Application 15/197,872 is a continuation of application No. 14/125,766, granted, now 9,413,421, previously published as PCT/AU2012/001473, filed on Dec. 3, 2012.
Claims priority of application No. 2011905002 (AU), filed on Dec. 1, 2011.
Prior Publication US 2017/0099117 A1, Apr. 6, 2017
This patent is subject to a terminal disclaimer.
Int. Cl. H04J 13/12 (2011.01); H04L 7/04 (2006.01); H04B 1/707 (2011.01); H04B 1/7136 (2011.01); H04J 11/00 (2006.01)
CPC H04J 13/12 (2013.01) [H04B 1/707 (2013.01); H04B 1/7136 (2013.01); H04L 7/043 (2013.01); H04J 11/00 (2013.01)] 22 Claims
OG exemplary drawing
 
21. A device for modulating a communication signal, the device comprising:
a transceiver for receiving and transmitting the signal;
a storage medium storing computer implemented programme code components to generate sequences; and
a processor in communication with the storage medium and the transceiver to execute at least some of the computer implemented programme code components to cause:
generating a family of shift sequences or arrays using exponential, logarithmic or index functions and a polynomial or a rational function polynomial in i εp−1 for a finite field p of prime p;
substituting multiple columns of the arrays with pseudo-noise sequences in a cyclic shift equal to the shift sequence for the respective column to generate a substituted array; and
applying the substituted array, or a sequence unfolded from the array when the array dimensions are relatively prime, to a carrier wave of the communication signal to generate a modulated communication signal.