Abstract: Substantially identical numerical sequences known only to stations A and B are generated in a manner not subject to duplication by an eavesdropper and not subject to cryptanalytic attack because they are not derived using a mathematical function (such, as for example, factoring). The sequences are independently derived utilizing a physical phenomena that can only be “measured” precisely the same at stations A and B. Signals are simultaneously transmitted from each station toward the other through a communication channel having a characteristic physical property capable of modifying the signals in a non-deterministic way, such as causing a phase shift. Each signal is “reflected” by the opposite station back toward its station of origin. The effect of the communication channel is “measured” by comparing original and reflected signals. Measured differences are quantized and expressed as numbers.

Abstract: Substantially identical numerical sequences known only to stations A and B are generated in a manner not subject to duplication by an eavesdropper and not subject to cryptanalytic attack because they are not derived using a mathematical function (such, as for example, factoring). The sequences are independently derived utilizing a physical phenomena that can only be “measured” precisely the same at stations A and B. Signals are simultaneously transmitted from each station toward the other through a communication channel having a characteristic physical property capable of modifying the signals in a non-deterministic way, such as causing a phase shift. Each signal is “reflected” by the opposite station back toward its station of origin. The effect of the communication channel is “measured” by comparing original and reflected signals. Measured differences are quantized and expressed as numbers.

Abstract: Substantially identical numerical sequences known only to stations A and B are generated in a manner not subject to duplication by an eavesdropper and not subject to cryptanalytic attack because they are not derived using a mathematical function (such, as for example, factoring). The sequences are independently derived utilizing a physical phenomena that can only be “measured” precisely the same at stations A and B. Signals are simultaneously transmitted from each station toward the other through a communication channel having a characteristic physical property capable of modifying the signals in a non-deterministic way, such as causing a phase shift. Each signal is “reflected” by the opposite station back toward its station of origin. The effect of the communication channel is “measured” by comparing original and reflected signals. Measured differences are quantized and expressed as numbers.

Abstract: Methods and systems for direct sequence spread spectrum (DSSS) signals are described herein. In an embodiment, a DSSS signal includes a time multiplexed spreading time series. The time multiplexed spreading time series includes a data spreading time series includes at least a first spreading symbol, and a pilot spreading time series includes at least a second spreading symbol and a third spreading symbol. The second spreading symbol and the third spreading symbol are different.

Abstract: Substantially identical numerical sequences known only to stations A and B are generated in a manner not subject to duplication by an eavesdropper and not subject to cryptanalytic attack because they are not derived using a mathematical function (such, as for example, factoring). The sequences are independently derived utilizing a physical phenomena that can only be “measured” precisely the same at stations A and B. Signals are simultaneously transmitted from each station toward the other through a communication channel having a characteristic physical property capable of modifying the signals in a non-deterministic way, such as causing a phase shift. Each signal is “reflected” by the opposite station back toward its station of origin. The effect of the communication channel is “measured” by comparing original and reflected signals. Measured differences are quantized and expressed as numbers.

Abstract: Methods and systems relating to Weil-based spreading codes are described herein. In an embodiment, a method includes generating a set of Weil sequences, adapting a plurality of sequences of the set of Weil sequences to form a first plurality of codes, and selecting a second plurality of codes from the first plurality of codes. A code of the first plurality of codes is selected based at least on a correlation associated with the code. Each code of the first plurality of codes has a predetermined length.

Abstract: Methods and systems for direct sequence spread spectrum (DSSS) signals are described herein. In an embodiment, a DSSS signal includes a time multiplexed spreading time series. The time multiplexed spreading time series includes a data spreading time series includes at least a first spreading symbol, and a pilot spreading time series includes at least a second spreading symbol and a third spreading symbol. The second spreading symbol and the third spreading symbol are different.

Abstract: Methods and systems relating to Weil-based spreading codes are described herein. In an embodiment, a method includes generating a set of Weil sequences, adapting a plurality of sequences of the set of Weil sequences to form a first plurality of codes, and selecting a second plurality of codes from the first plurality of codes. A code of the first plurality of codes is selected based at least on a correlation associated with the code. Each code of the first plurality of codes has a predetermined length.