Method and system for high bandwidth-efficiency communications using signals having positive entropy
First Claim
1. A communications method comprising:
- providing (i) a first signal having a positive entropy and (ii) a plurality of delayed versions of the first signal, each delayed version of the plurality of delayed versions comprising a plurality of available values;
encoding data comprising a symbol by representing the symbol as a plurality of delay values, wherein each of said plurality of delay values comprises an available value of the plurality of available values for each delayed version of the plurality of delayed versions; and
transmitting the encoded data across a communications channel.
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Abstract
A communications device includes a symbol encoder for receiving data comprising a symbol and for receiving a first signal having a positive entropy. The symbol encoder adds to the first signal a plurality of delayed versions of the first signal. Each delayed version of the plurality of delayed versions has a plurality of available values. The symbol is represented by a set of delay values, a delay value of the set of delay values including an available value of the plurality of available values for the each delayed version of the plurality of delayed versions. The communications device also includes a transmitter for receiving the encoded data from the symbol encoder and for transmitting the encoded data. For example, the first signal having positive entropy includes a chaotic signal, noise signal, or a positive entropy, baseband signal modulated onto a positive entropy signal having a higher frequency than the baseband signal. For example, the chaotic signal includes a Lorenz system-generated chaotic signal or a Rossler system-generated chaotic signal. The communications device supports bandwidth-efficient transmission in communications media.
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Citations
27 Claims
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1. A communications method comprising:
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providing (i) a first signal having a positive entropy and (ii) a plurality of delayed versions of the first signal, each delayed version of the plurality of delayed versions comprising a plurality of available values;
encoding data comprising a symbol by representing the symbol as a plurality of delay values, wherein each of said plurality of delay values comprises an available value of the plurality of available values for each delayed version of the plurality of delayed versions; and
transmitting the encoded data across a communications channel. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. A communications apparatus comprising:
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means for providing (i) a first signal having a positive entropy and (ii) a plurality of delayed versions of the first signal, each delayed version of the plurality of delayed versions comprising a plurality of available values;
means for encoding data comprising a symbol by representing the symbol as a plurality of delay values, wherein each of said plurality of delay values comprises an available value of the plurality of available values for each delayed version of the plurality of delayed versions; and
means for transmitting the encoded data across a communications channel. - View Dependent Claims (10, 11, 12, 13, 14, 15, 16)
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17. A communications device comprising:
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a symbol encoder for receiving data comprising a symbol and for receiving a first signal having a positive entropy, the symbol encoder adding to the first signal a plurality of delayed versions of the first signal, each delayed version of the plurality of delayed versions comprising a plurality of available values, the symbol being represented by a set of delay values, a delay value of the set of delay values comprising an available value of the plurality of available values for the each delayed version of the plurality of delayed versions; and
a transmitter for receiving the encoded data from the symbol encoder and for transmitting the encoded data. - View Dependent Claims (18, 19)
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20. A communications device for receiving encoded data, the communications device comprising:
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a receiver for receiving a first signal having positive entropy added to a plurality of delayed versions of the first signal, each delayed version of the plurality of delayed versions comprising a plurality of available values, wherein encoded data comprises a symbol, the symbol being represented by a plurality of delay values, a delay value of the plurality of delay values comprising an available value of the plurality of available values for the each delayed version of the plurality of delayed versions; and
a symbol decoder for receiving the encoded data from said receiver, the symbol decoder for summing a second signal, substantially similar to the first signal, and a plurality of reference delays, and for maximizing a cross-correlation between the encoded data and the sum of the second signal and the plurality of reference delays. - View Dependent Claims (21, 22, 23, 25, 26)
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24. A communications device for receiving encoded data, the communications device comprising:
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a receiver for receiving a first signal having positive entropy added to a plurality of delayed versions of the first signal, each delayed version of the plurality of delayed versions comprising a plurality of available values, wherein encoded data comprises a symbol, the symbol being represented by a plurality of delay values, a delay value of the plurality of delay values comprising an available value of the plurality of available values for the each delayed version of the plurality of delayed versions; and
a symbol decoder for receiving the encoded data from said receiver, the symbol decoder for summing a third signal, being a weighted version of the first signal, and a plurality of weighted reference delays, and for performing a least squares fit between the encoded data and the sum of the third signal and the plurality of weighted reference delays. - View Dependent Claims (27)
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Specification