Single and multiple sinewave modulation and demodulation techniques, apparatus, and communications systems

A communications system for communicating in a communications medium and comprising:

• a first station including:
• an encoder for generating at least one waveform containing encoded digital data at selected phase angles θn, the waveform having an amplitude Y=sinθ at phase angles lying outside of data regions, the waveform having an amplitude Y=sinθ at phase angles lying inside the data regions having a range of Δθ beginning at each phase angle θn where data of the first value is to be encoded, the waveform having an amplitude Y defined by a different from Y=sinθ at phase angles lying inside the data regions having a range of Δθ associated with each phase angle θn where data of the second value is to be encoded;
• and
• a transmitter for transmitting the third harmonic of the at least one waveform containing encoded digital data through the medium;
• a second station coupled to the first station through the communications medium and including:
• a receiver for receiving the third harmonic of the at least one waveform containing encoded digital data through the medium from the first station;
• and
• a decoder for extracting the digital data from the third harmonic of the at least one waveform containing encoded digital data.

A communications system for communicating in a communications medium and comprising:

• a first station;
• a second station coupled to the first station through the communications medium:
• wherein the first and second stations each include:
• an encoder for generating at least one waveform containing encoded digital data at selected phase angles θn, the waveform having an amplitude Y=sinθ at phase angles lying outside of regions having a range of Δθbeginning at each phase angle θn, the waveform having an amplitude Y=sinθ at phase angles lying inside the regions having a range of Δθ beginning at each phase angle θn where data of the first value is to be encoded, the waveform having an amplitude Y defined by a different from Y=sinθ at phase angles lying inside the regions having a range of Δθ associated with each phase angle θn where data of the second value is to be encoded;
• a transmitter for transmitting the third harmonic of the at least one waveform containing encoded digital data through the medium;
• a receiver for receiving the third harmonic of the at least one waveform containing encoded digital data through the medium;
• and
• a decoder for extracting the digital data from the third harmonic of the at least one waveform containing encoded digital data.

A method for generating a waveform containing encoded digital data having one of a first value and a second value at data regions located at selected phase angles θn of the waveform, the method comprising:

• generating the waveform having an amplitude Y=sinθ at phase angles not included in the data regions;
• generating the waveform having an amplitude Y=sinθ at phase angles lying inside the data regions and having a range of Δθ beginning at each phase angle θn where data of the first value is to be encoded;
• and
• generating the waveform having an amplitude Y defined by a second function different from Y=sinθ at phase angles lying inside the data regions and having a range of Δθ associated with each phase angle θn where data of the second value is to be encoded.

Apparatus for generating a waveform containing encoded digital data having one of a first value and a second value at data regions located at selected phase angles θn of the waveform, the apparatus comprising:

• means for generating the waveform having an amplitude Y=sinθ at phase angles not included in the data regions;
• means for generating the waveform having an amplitude Y=sinθ at phase angles lying inside the data regions and having a range of Δθ beginning at each phase angle θn where data of the first value is to be encoded;
• and
• means for generating the waveform having an amplitude Y defined by a second function different from Y=sinθ at phase angles lying inside the data regions and having a range of Δθ associated with each phase angle θn where data of the second value is to be encoded.

A processing system for generating a waveform containing encoded digital data having one of a first value and a second value at data regions located at selected phase angles θn of the waveform, the processing system executing instructions for:

• generating the waveform having an amplitude Y=sinθ at phase angles not included in the data regions;
• generating the waveform having an amplitude Y=sinθ at phase angles lying inside the data regions and having a range of Δθ beginning at each phase angle θn where data of the first value is to be encoded;
• and
• generating the waveform having an amplitude Y defined by a second function different from Y=sinθ at phase angles lying inside the data regions and having a range of Δθ associated with each phase angle θn where data of the second value is to be encoded.

A computer readable medium carrying one or more instructions for generating a waveform containing encoded digital data having one of a first value and a second value at data regions located at selected phase angles θn of the waveform, the one more instructions including instructions which executed by one or more processors, cause the one or more processors to perform the method comprising:

• generating the waveform having an amplitude Y=sinθ at phase angles not included in the data regions;
• generating the waveform having an amplitude Y=sinθ at phase angles lying inside the data regions and having a range of Δθ beginning at each phase angle θn where data of the first value is to be encoded;
• and
• generating the waveform having an amplitude Y defined by a second function different from Y=sinθ at phase angles lying inside the data regions and having a range of Δθ associated with each phase angle θn where data of the second value is to be encoded.

A product for generating a waveform containing encoded digital data having one of a first value and a second value at data regions located at selected phase angles θn of the waveform:

• instructions for directing a processing system to:
• generate the waveform having an amplitude Y=sinθ at phase angles not included in the data regions;
• generate the waveform having an amplitude Y=sinθ at phase angles lying inside the data regions and having a range of Δθ beginning at each phase angle θn where data of the first value is to be encoded;
• and
• generate the waveform having an amplitude Y defined by a second function different from Y=sinθ at phase angles lying inside the data regions and having a range of Δθ associated with each phase angle θn where data of the second value is to be encoded;
• and
• a media readable by said processing unit that stores said instructions.