Extending a repetition period of a random sequence

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

C708S252000

Reexamination Certificate

active

07921145

ABSTRACT:
A method is provided for extending a sequence repetition period of a random number generator in systems based on the availability of random sequences. The method includes performing RNS arithmetic operations to express a random number in a sequence as RNS residue values. Each generated random number has a value between zero and n!−1. The method also includes converting each of the RNS residue values to a relatively prime base number system so that each of the RNS residue values includes at least one digit. The method further includes generating an arbitrary permutation ordering of output sequence numbers using a select combination of digits associated with each of the RNS residue values. The arbitrary permutation ordering is applied to a cyclic structure having n elements. Each of the n elements has an associated output sequence number.

REFERENCES:
patent: 3564223 (1971-02-01), Harris et al.
patent: 4646326 (1987-02-01), Backof, Jr. et al.
patent: 4703507 (1987-10-01), Holden
patent: 5077793 (1991-12-01), Falk et al.
patent: 5276633 (1994-01-01), Fox et al.
patent: 5297153 (1994-03-01), Baggen et al.
patent: 5297206 (1994-03-01), Orton
patent: 5319735 (1994-06-01), Preuss et al.
patent: 5412687 (1995-05-01), Sutton et al.
patent: 5598476 (1997-01-01), LaBarre et al.
patent: 5757923 (1998-05-01), Koopman, Jr.
patent: 5811998 (1998-09-01), Lundberg et al.
patent: 5852630 (1998-12-01), Langberg et al.
patent: 5900835 (1999-05-01), Stein
patent: 5924980 (1999-07-01), Coetzee
patent: 5937000 (1999-08-01), Lee et al.
patent: 6014446 (2000-01-01), Finkelstein
patent: 6023612 (2000-02-01), Harris et al.
patent: 6038317 (2000-03-01), Magliveras et al.
patent: 6078611 (2000-06-01), La Rosa et al.
patent: 6331974 (2001-12-01), Yang et al.
patent: 6377782 (2002-04-01), Bishop et al.
patent: 6570909 (2003-05-01), Kansakoski et al.
patent: 6614914 (2003-09-01), Rhoads et al.
patent: 6744893 (2004-06-01), Fleming-Dahl
patent: 6754251 (2004-06-01), Sriram et al.
patent: 6766345 (2004-07-01), Stein et al.
patent: 6842479 (2005-01-01), Bottomley
patent: 6986054 (2006-01-01), Kaminaga et al.
patent: 7023323 (2006-04-01), Nysen
patent: 7027598 (2006-04-01), Stojancic et al.
patent: 7069492 (2006-06-01), Piret
patent: 7076065 (2006-07-01), Sherman et al.
patent: 7078981 (2006-07-01), Farag
patent: 7079651 (2006-07-01), Den Boer
patent: 7095778 (2006-08-01), Okubo et al.
patent: 7190681 (2007-03-01), Wu
patent: 7200225 (2007-04-01), Schroeppel
patent: 7233969 (2007-06-01), Rawlins et al.
patent: 7233970 (2007-06-01), North et al.
patent: 7269198 (2007-09-01), Elliott et al.
patent: 7529292 (2009-05-01), Bultan et al.
patent: 7643537 (2010-01-01), Giallorenzi et al.
patent: 7779060 (2010-08-01), Kocarev et al.
patent: 2002/0099746 (2002-07-01), Tie et al.
patent: 2003/0044004 (2003-03-01), Blakley et al.
patent: 2004/0001556 (2004-01-01), Harrison et al.
patent: 2004/0059767 (2004-03-01), Liardet
patent: 2004/0196212 (2004-10-01), Shimizu
patent: 2005/0031120 (2005-02-01), Samid
patent: 2005/0050121 (2005-03-01), Klein et al.
patent: 2005/0207574 (2005-09-01), Pitz et al.
patent: 2005/0274807 (2005-12-01), Barrus et al.
patent: 2006/0123325 (2006-06-01), Wilson et al.
patent: 2006/0209932 (2006-09-01), Khandekar et al.
patent: 2006/0251250 (2006-11-01), Ruggiero et al.
patent: 2008/0016431 (2008-01-01), Lablans
patent: 2008/0095215 (2008-04-01), McDermott et al.
patent: 2008/0198832 (2008-08-01), Chester
patent: 2008/0263119 (2008-10-01), Chester et al.
patent: 2008/0294710 (2008-11-01), Michaels
patent: 2008/0294956 (2008-11-01), Chester et al.
patent: 2008/0304553 (2008-12-01), Zhao et al.
patent: 2008/0304666 (2008-12-01), Chester et al.
patent: 2008/0307022 (2008-12-01), Michaels et al.
patent: 2008/0307024 (2008-12-01), Michaels et al.
patent: 2009/0034727 (2009-02-01), Chester et al.
patent: 2009/0044080 (2009-02-01), Michaels et al.
patent: 2009/0110197 (2009-04-01), Michaels
patent: 2009/0122926 (2009-05-01), Azenkot et al.
patent: 2009/0196420 (2009-08-01), Chester et al.
patent: 2009/0202067 (2009-08-01), Michaels et al.
patent: 2009/0245327 (2009-10-01), Michaels
patent: 2009/0279688 (2009-11-01), Michaels et al.
patent: 2009/0279690 (2009-11-01), Michaels et al.
patent: 2009/0296860 (2009-12-01), Chester et al.
patent: 2009/0300088 (2009-12-01), Michaels et al.
patent: 2009/0310650 (2009-12-01), Chester et al.
patent: 2009/0323766 (2009-12-01), Wang et al.
patent: 2009/0327387 (2009-12-01), Michaels et al.
patent: 2010/0111296 (2010-05-01), Brown et al.
patent: 0 849 664 (1998-06-01), None
patent: 0 949 563 (1999-10-01), None
patent: 2 000 900 (2008-12-01), None
patent: 2 000 902 (2008-12-01), None
patent: 1167272 (1969-10-01), None
patent: WO-0135572 (2001-05-01), None
patent: WO-2006 110954 (2006-10-01), None
patent: WO 2008 065191 (2008-06-01), None
patent: WO-2008099367 (2008-08-01), None
patent: WO-2008130973 (2008-10-01), None
patent: WO 2009 143283 (2009-12-01), None
U.S. Appl. No. 11/928,013, Alan J. Michaels.
Barile, Margherita, “Bijective,” From MathWorld-A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/Bijective.html, 2002.
Weisstein, Eric W., “Injection,” From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/Injection.html, 2005.
Weisstein, Eric W. “Surjection,” From MathWorld-A Wolfram Web Resource, http://mathworld.wolfram.com/Surjection.html, 2002.
Yen, et al., (1999) “Residual Number Sysetm Assisted CDMA: A New System Concept”, In: ACTS'99, Jun. 8-11, 1999, Sorrento, Italy.
Vanwiggeren et al., “Chaotic Communication Using Time-Delayed Optical Systems”, International Journal of Bifurcation and Chaos, vol. 9, No. 11 (1999), pp. 2129-2156, World Scientific Publishing Company.
Morsche et al., “Signals and Systems,” lecture notes, University of Eindhoven, The Netherlands (1999).
Pourbigharaz F. et al, Modulo-Free Architecture for Binary to Risidule Transformation with Respect to (2m-1, 2m, 2m+1) Moduli Set, IEEE International Symposium on Circuits and Systems, May 30-Jun. 2, 1994, pp. 317-320, vol. 2, London, UK.
Knuth, D.E., “The Art of Computer Programming, Third Edition; vol. 2 Seminumerical Algorithms”, Feb. 2005, Addison-Wesley, Boxton 310200, XP002511903, pp. 142-146, 284-292.
De Matteis, A., et al., “Pseudorandom Permutation”, Journal of Computational and Applied Mathematics, Elsevier, Netherlands, vol. 142, No. 2, May 15, 2002, pp. 367-375, XP007906923, ISSN: 0377-0427.
Deckert, T., et al: “Throughput of WLAN with TDMA and Superimposed Transmission with Resource and Traffic Constraints” Personal, Indoor and Mobile Radio Communications, 2006 IEEE 17th Inter National Symposium on, IEEE, PI, Sep. 1, 2006, pp. 1-5, XP031023581, ISBN: 978-1-4244-0329-5.
Deckert, T., et al: 1-10 “Superposed Signaling Option for Bandwidth Efficient Wireless LANs” Proceedings of the 7th International Symposium on Wireless Personal Multimedia Communications, [Online] Sep. 15, 2004, XP002558039.
Manikandan, et al, “A Novel Pulse Based Ultrawide Band System Using Chaotic Spreading Sequences” Communication Systems Software and Middleware, 2007. Comsware 2007. 2ND International Conference on, IEEE, PI, Jan. 1, 2007, pp. 1-5, XP031113946 ISBN: 978-1-4244-0613-5; p. 1, page 5.
Nakamura, et al, “Chaotic synchronization-based communications using constant envelope pulse” Electrical Engineering in Japan, [Online] vol. 163, No. 3, Feb. 12, 2008, pp. 47-56, XP002539977 Japan. Retrieved from the Internet: URL:http://www3.interscience.wiley.com/cgi-bin/fulltext/117910986/PDFSTART>; [retrieved on Aug. 4, 2009] p. 47-p. 48; p. 50-p. 51.
Salberg, et al, “Stochastic multipulse-PAM: A subspace modulation technique with diversity” Signal Processing, Elsevier Science Publishers B.V. Amsterdam, NL, vol. 83, No. 12, Dec. 1, 2003, pp. 2559-2577, XP004467986; ISSN: 0165-1684.
Abel, et al., “Chaos Communications-Principles, Schemes, and System Analysis” Proceedings f

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Extending a repetition period of a random sequence does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Extending a repetition period of a random sequence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extending a repetition period of a random sequence will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-2621803

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.