Communications system employing chaotic spreading codes with static offsets
First Claim
1. A method for code-division multiplex communications, comprising the steps of:
- generating a plurality of orthogonal or statistically orthogonal chaotic spreading codes having different static offsets using a set of modular polynomial equations of a third order or higher, where at least two polynomial equations of said set of modular polynomial equations differ with respect to polynomial degree;
forming a plurality of spread spectrum communications signals respectively using said plurality of orthogonal or statistically orthogonal chaotic spreading codes; and
concurrently transmitting said plurality of spread spectrum communications signals over a common RF frequency band;
wherein each spreading code of said plurality of orthogonal or statistically orthogonal chaotic spreading codes is generated using a different acc-dec value for a variable “
v”
of said modular polynomial equations, where v is a variable defined by a modular arithmetic equation and has a value selected to advance or regress a chaotic sequence generation by at least one cycle.
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Abstract
Methods for code-division multiplex communications. The method involve generating orthogonal or statistically orthogonal chaotic spreading codes (CSC1, . . . , CSCK) having different static offsets using a set of polynomial equations (f0(x(nT)), . . . , fN-1(x(nT)) and/or f0[x((n+v)T+t)], . . . , fN-1[x((n+v)T+t)]). The methods also involve forming spread spectrum communications signals respectively using the orthogonal or statistically orthogonal chaotic spreading codes. The methods further involve concurrently transmitting the spread spectrum communications signals over a common RF frequency band. The spreading codes are generated using different initial values for a variable “x” of a polynomial equation f(x(nT)) and/or different acc-dec values for a variable “v” of a polynomial equation f[x((n+v)T+t)]. The static offsets are defined by the different initial values for a variable “x” and/or different acc-dec values for a variable “v”.
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Citations
16 Claims
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1. A method for code-division multiplex communications, comprising the steps of:
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generating a plurality of orthogonal or statistically orthogonal chaotic spreading codes having different static offsets using a set of modular polynomial equations of a third order or higher, where at least two polynomial equations of said set of modular polynomial equations differ with respect to polynomial degree; forming a plurality of spread spectrum communications signals respectively using said plurality of orthogonal or statistically orthogonal chaotic spreading codes; and concurrently transmitting said plurality of spread spectrum communications signals over a common RF frequency band; wherein each spreading code of said plurality of orthogonal or statistically orthogonal chaotic spreading codes is generated using a different acc-dec value for a variable “
v”
of said modular polynomial equations, where v is a variable defined by a modular arithmetic equation and has a value selected to advance or regress a chaotic sequence generation by at least one cycle. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. A code-division multiplex communication system, comprising:
a plurality of transmitters configured to generate a plurality of orthogonal or statistically orthogonal chaotic spreading codes having different static offsets using a set of modular polynomial equations of a third order or higher, where at least two polynomial equations of said set of modular polynomial equations differ with respect to polynomial degree, form a plurality of spread spectrum communications signals respectively using said plurality of orthogonal or statistically orthogonal chaotic spreading codes, and concurrently transmit said plurality of spread spectrum communications signals over a common RE frequency band; wherein each spreading code of said plurality of orthogonal or statistically orthogonal chaotic spreading codes is generated using a different acc-dec value for a variable “
v”
of said modular polynomial equations, where v is a variable defined by a modular arithmetic equations and has a value selected to advance or regress a chaotic sequence generation by at least one cycle.- View Dependent Claims (10, 11, 12, 13, 14, 15, 16)
Specification