Method and apparatus for mapping pulses to a non-fixed layout

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein allowable and non-allowable characteristic regions are allocated relative to said at least one non-fixed reference and said delta code is applied relative to said allowable and non-allowable characteristic regions.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the sequential delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Sequential Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Sequential Delta Code generation methodology is of the form ƒ(x;a)=axn mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1, and n is a nonzero integer.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the sequential delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Sequential Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Sequential Delta Code generation methodology is of the form ƒ(x;
• a)=ax−1 mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the sequential delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Sequential Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Sequential Delta Code generation methodology is of the form ƒ(x;
• a)=ax mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the sequential delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Sequential Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Sequential Delta Code generation methodology is of the form ƒ(x;a)=ax2 mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the sequential delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Sequential Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Sequential Delta Code generation methodology is of the form ƒ(x;a)=ax3 mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the iterative delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Iterative Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Iterative Delta Code generation methodology is of the form ƒ(x;a)=axn mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1, and n is a nonzero integer.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the iterative delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Iterative Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Iterative Delta Code generation methodology is of the form ƒ(x;a)=ax−1 mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the iterative delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Iterative Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Iterative Delta Code generation methodology is of the form ƒ(x;a)=ax mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the iterative delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Iterative Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Iterative Delta Code generation methodology is of the form ƒ(x;a)=ax2 mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1.

An impulse transmission system comprising:

• a Ultra Wideband Transmitter;
• a Ultra Wideband Receiver;
• and
• said Ultra Wideband Transmitter and said Ultra Wideband Receiver employ a delta code of a plurality of delta codes, wherein said delta code specifies pulse characteristics relative to at least one non-fixed reference, wherein said pulse characteristics define one of a plurality of communication channels defined by said plurality of delta codes, wherein the delta code is a deterministic delta code, wherein the deterministic delta code is generated using the iterative delta code generation methodology, wherein the deterministic delta code is generated using the Rational Congruential Iterative Delta Code generation methodology, wherein the rational function employed in the Rational Congruential Iterative Delta Code generation methodology is of the form ƒ(x;a)=ax3 mod M, where ƒ is a function of variable x, M is an integer modulus, a is a parameter, with possible values of 1, 2, . . . M−1.