Methods and systems for modifying the statistical distribution of symbols in a coded message
A method for coding a message of a plurality of m-state symbols into a coded message of n-state symbols wherein n>m is disclosed. A method to make the distribution of states of n-state symbols a uniform distribution is also disclosed. A coding rule is initiated based on a distribution of states of m-state symbols. A method of coding the coding rule by transposition is also provided. In one embodiment a coded message of n-state symbols has symbols that each have a unique state. A system for executing the coding and decoding methods is also disclosed.
1. A method for coding a message of p m-state symbols with p>2, each m-state symbols able to assume one of m states with m≧2, comprising:
determining a parameter of the message of p m-state symbols;
selecting, based on the determined parameter, a coding rule that codes each m-state symbol in the message into an n-state symbol with n>m; and
coding with the coding rule each m-state symbol in the message into an n-state symbol in a coded message.
2. The method of claim 1 , wherein a parameter indicates a distribution of an m-state symbol in the message.
3. The method of claim 1 , wherein a distribution of m-state symbols in the message is substantially different from a distribution of n-state symbols in the coded message.
4. The method of claim 1 , wherein a distribution of n-state symbols in the coded message is substantially uniform.
5. The method of claim 1 , wherein each n-state symbol in the coded message has a unique state.
6. The method of claim 1 , wherein a single n-state symbol is represented as a plurality of k-state symbols with k<n.
7. The method of claim 1 , wherein the message is scrambled before being coded.
8. The method of claim 4 , further comprising:
generating a pseudo-random sequence of at least p different symbols; and
determining a unique state of an n-state symbol based on the pseudo-random sequence.
9. The method of claim 1 , wherein the message is an audio message.
10. The method of claim 1 , wherein the message is a text message.
11. A system for coding a message of p m-state symbols with p>2, each m-state symbols able to assume one of m states with m≧2, comprising:
a memory device;
a processor, enabled to execute instructions to perform the steps of:
determining a parameter of the message of p m-state symbols;
selecting, based on the determined parameter, a coding rule that codes each m-state symbol in the message into an n-state symbol with n>m; and
coding with the coding rule each m-state symbol in the message into an n-state symbol in a coded message.
12. The system of claim 11 , wherein the parameter is associated with a distribution of an m-state symbol in the message.
13. The system as claimed in claim 11 , wherein a distribution of m-state symbols in the message is substantially different from a distribution of n-state symbols in the coded message.
14. The system of claim 11 , wherein a distribution of n-state symbols in the coded message is substantially uniform.
15. The system of claim 11 , wherein each n-state symbol in the coded message has a unique state.
16. The system of claim 11 , wherein a single n-state symbol is represented as a plurality of k-state symbols with k<n.
17. The system of claim 11 , wherein the message is scrambled before being coded.
18. The system of claim 15 , further enabled to perform the steps of:
generating a pseudo-random sequence of at least p different symbols; and
determining a unique state of an n-state symbol based on the pseudo-random sequence.
19. The system of claim 11 , wherein the system is part of a communication system.
20. The system of claim 11 , further comprising a corresponding decoding system that decodes the coded message of n-state symbols into the message of m-state symbols.