SCHULTZE TORSTEN (DE)
| AMENDED CLAIMS received by the International Bureau on 27 May 2019 (27.05.2019) 1. A method, comprising: receiving input data; creating a modulated sinusoidal waveform by selectively reducing a power of an unmodulated sinusoidal waveform at ones of selected phase angles in accordance with bit values of the input data so as to respectively define modulation perturbations in the modulated sinusoidal waveform; and generating an encoded analog waveform based upon a digital representation of the modulated sinusoidal waveform; wherein a first energy associated with a first modulation perturbation of the modulation perturbations is substantially equal to a third energy associated with a third modulation perturbation of the modulation perturbations; wherein a second energy associated with a second modulation perturbation of the modulation perturbations is substantially equal to a fourth energy associated with a fourth modulation perturbation of the modulation perturbations. 2. The method of claim 1 wherein the first, second, third and fourth modulation perturbations respectively correspond to first, second, third and fourth data notches respectively occurring at first, second, third and fourth of the selected phase angles wherein the first, second, third and fourth of the selected phase angles are denoted as 0;, 02, 03, 04- 3. The method of claim 2 wherein the phase angle 0; is between 44.5° and 45.5°, the phase angle 02 is equal to 134.5° to 135.5°, the phase angle 0 is equal to 224.5° to 225.5°, and the phase angle 04 is equal to 314.5° to 315.5°. 4. The method of claim 2 wherein the first data notch is representative of a first bit value of the bit values, the second data notch is representative of a second bit value of the bit values, the phase angle 0 is equal to the sum of the phase angle 0; and 180°, and the phase angle 04 is equal to the sum of the phase angle 02 and 180°. 5. The method of claim 4 wherein a minimum power of the first data notch is a first percentage of the power of the unmodulated sinusoidal waveform at the phase 57 angle Q/ and a minimum power of the second data notch is a second percentage of the power of the unmodulated sinusoidal waveform at the phase angle Q2, the first percentage being different from the second percentage. 6. The method of claim 2 wherein the first data notch is representative of a first plurality of the bit values, the first data notch including a first plurality of transition features respectively representative of the first plurality of the bit values. 7. The method of claim 6 wherein the third data notch is representative of a second plurality of the bit values, the third data notch including a second plurality of transition features respectively representative of the second plurality of the bit values. 8. The method of claim 7 wherein the second plurality of the bit values is different from the first plurality of the bit values. 9. The method of claim 7 wherein the first data notch includes generally opposing first and second side portions, the first side portion being substantially linear and the second side portion defining the first plurality of transition features. 10. The method of claim 9 wherein the third data notch includes generally opposing third and fourth side portions, the fourth side portion being substantially linear and the third side portion defining the first plurality of transition features. 11. The method of claim 10 wherein the modulated sinusoidal waveform defines the first side portion in the time domain earlier than the modulated sinusoidal waveform defines the second side portion and wherein the modulated sinusoidal waveform defines the third side portion in the time domain earlier than the modulated sinusoidal waveform defines the fourth side portion. 12. The method of claim 6 wherein the first data notch includes generally opposing first and second side portions, the first side portion defining a first set of the first plurality of transition features and the second side portion defining a second set of the first plurality of transition features. 58 13. The method of claim 1 wherein the input data includes 1 bit values and 0 bit values, the method further including scrambling the input data to prevent more than a predefined number of 0 bit values from occurring in sequence and more than a predefined number of 1 bit values from occurring in sequence. 14. The method of claim 1 wherein: the first energy corresponds to a first cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a first phase angle range subtended by the first modulation perturbation; the second energy corresponds to a second cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a second phase angle range subtended by the second modulation perturbation; the third energy corresponds to a third cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a third phase angle range subtended by the third modulation perturbation; the fourth energy corresponds to a fourth cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a fourth phase angle range subtended by the fourth modulation perturbation; and the first phase angle range, the second phase angle range, the third phase angle range and the fourth phase angle range are each less than or equal to 1°. 15. The method of claim 14 wherein: the first energy corresponds to a first cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a first phase angle range subtended by the first modulation perturbation; the second energy corresponds to a second cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a second phase angle range subtended by the second modulation perturbation; the third energy corresponds to a third cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a third phase angle range subtended by the third modulation perturbation; the fourth energy corresponds to a fourth cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a fourth phase angle range subtended by the fourth modulation perturbation; and one or more of the first phase angle range, the second phase angle range, the third phase angle range and the fourth phase angle range are less than or equal to 0.5°. 16. The method of claim 6 wherein each of the plurality of transition features defines a step change in a power of the modulated sinusoidal waveform. 17. The method of claim 1 wherein the input data includes 1 bit values and 0 bit values, the method further including encoding the input data so to create a conditioned input sequence having a number of 0 bit values substantially equal to a number of 1 bit values. 18. (Canceled) 19. (Canceled) 20. (Canceled) 21. (Canceled) 22. The method of claim 2 wherein the selectively reducing includes reducing the power of the unmodulated sinusoidal waveform in accordance with the bit values of the input data only at the phase angles Q/ and Q ;. 23. The method of claim 26 further including reducing the power of the unmodulated sinusoidal waveform at the phase angles 02 and Q4 independent of the input data. 24. The method of claim 2 wherein the selectively reducing includes: reducing the power of the unmodulated sinusoidal waveform in accordance with the bit values of the input data only at the phase angles 0/ and 0 ; during a first period of the unmodulated sinusoidal waveform; reducing the power of the unmodulated sinusoidal waveform in accordance with the bit values of the input data only at the phase angles 02 and Q4 during a second period of the unmodulated sinusoidal waveform. 25. The method of claim 14 wherein the second cumulative power difference and the fourth cumulative power difference are substantially equal to zero during a first period of the unmodulated sinusoidal waveform and the first cumulative power difference and the third cumulative power difference are substantially equal to zero during a second period of the unmodulated sinusoidal waveform. 26. A system for periodic waveform modulation, the system comprising: an input buffer configured to store input data; a sub-periodic modulator for creating a modulated sinusoidal waveform in accordance with bit values of the input data so as to respectively define first, second, third and fourth modulation perturbations in the modulated sinusoidal waveform; and one or more digital-to-analog converters for generating an encoded analog waveform based upon a digital representation of the modulated sinusoidal waveform; wherein a first cumulative power difference between a power of the modulated sinusoidal waveform and a power of the unmodulated sinusoidal waveform over a first phase angle range subtended by the first modulation perturbation is substantially equal to a third cumulative power difference between the power of the modulated sinusoidal waveform and the power of the unmodulated sinusoidal waveform over a third phase angle range subtended by the third modulation perturbation; wherein a second cumulative power difference between the power of the modulated sinusoidal waveform and the power of the unmodulated sinusoidal waveform over a second phase angle range subtended by the second modulation perturbation is substantially equal to a fourth cumulative power difference between the power of the modulated sinusoidal waveform and the power of the unmodulated sinusoidal waveform over a fourth phase angle range subtended by the fourth modulation perturbation. 27. The system of claim 30 wherein the selected phase angles correspond to selected phase angles 0/, Q2, 0;, 04 of an unmodulated sinusoidal waveform, the sub- periodic modulator being configured for encoding the input data at the selected phase angles 0/, 02, 0 ;, 04 to create the modulated sinusoidal waveform by selectively reducing a power of the unmodulated sinusoidal waveform at ones of the selected phase angles 0/, 02, 0 ;, 04 in accordance with bit values of the input data so as to respectively define the first, second, third and fourth modulation perturbations in the modulated sinusoidal waveform and wherein the phase angle 0 is equal to the sum of the phase angle 01 and 180° and the phase angle 04 is equal to the sum of the phase angle 02 and 180°. 28. The system of claim 30 wherein the selected phase angles correspond to selected phase angles 0/, 02, 0 ;, 04 of an unmodulated sinusoidal waveform, the sub- periodic modulator being configured for encoding the input data at the selected phase angles 0/, 02, 0 ;, 04 to create the modulated sinusoidal waveform by selectively reducing a power of the unmodulated sinusoidal waveform at ones of the selected phase angles 0/, 02, 0 ;, 04 in accordance with bit values of the input data so as to respectively define the first, second, third and fourth modulation perturbations in the modulated sinusoidal waveform and wherein the phase angle 0; is between 44.5° and 45.5°, the phase angle 02 is equal to 134.5° to 135.5°, the phase angle 0 is equal to 224.5° to 225.5°, and the phase angle 04 is equal to 314.5° to 315.5°. 29. The system of claim 30 wherein the first modulation perturbation is representative of a first bit value of the bit values and the second modulation perturbation is representative of a second bit value of the bit values. 62 30. The system of claim 31 wherein a minimum power of the first modulation perturbation is a first percentage of the power of the unmodulated sinusoidal waveform at the phase angle 0/ and a minimum power of the second modulation perturbation is a second percentage of the power of the unmodulated sinusoidal waveform at the phase angle 02, the first percentage being different from the second percentage. 31. The system of claim 30 wherein the first modulation perturbation is representative of a first plurality of the bit values, the first modulation perturbation including a first plurality of transition features respectively representative of the first plurality of the bit values. 32. The system of claim 35 wherein the third modulation perturbation is representative of a second plurality of the bit values, the third modulation perturbation including a second plurality of transition features respectively representative of the second plurality of the bit values. 33. The system of claim 36 wherein the second plurality of the bit values is different from the first plurality of the bit values. 34. The system of claim 36 wherein the first modulation perturbation includes generally opposing first and second side portions, the first side portion being substantially linear and the second side portion defining the first plurality of transition features. 35. The system of claim 38 wherein the third modulation perturbation includes generally opposing third and fourth side portions, the fourth side portion being substantially linear and the third side portion defining the first plurality of transition features. 36. A method, comprising: receiving input data; 63 creating a modulated sinusoidal waveform having modulation perturbations of reduced power at selected phase angles of the modulated sinusoidal waveform wherein the modulation perturbations represent values of the input data; and generating an encoded analog waveform based upon the modulated sinusoidal waveform; wherein a first energy associated with a first of the modulation perturbations is substantially equal to a second energy associated with a second of the modulation perturbations. 37. The method of claim 40 wherein a third energy associated with a third of the modulation perturbations is substantially equal to a fourth energy associated with a fourth of the modulation perturbations. 38. The method of claim 41 wherein the first of the modulation perturbations is defined over a first phase angle range including 45°, the second of the modulation perturbations is defined over a second phase angle range including 225°, the third of the modulation perturbations is defined over a third phase angle range including 135°, and the fourth of the modulation perturbations is defined over a fourth phase angle range including 315°. 39. A non-transitory computer readable medium that comprises program instructions for modulated sinusoidal waveform generation that, when executed by a processor, causes the processor to: receive input data; and generate a modulated sinusoidal waveform having a plurality of modulation perturbations, each of the plurality of modulation perturbations corresponding to a reduction in a power of an unmodulated sinusoidal waveform over a phase angle range in accordance with a value of the input data; wherein an encoded analog waveform is produced based upon the modulated sinusoidal waveform and wherein a first energy associated with a first of the plurality of modulation perturbations is substantially equal to a second energy associated with a second of the plurality of modulation perturbations. 40. A method, comprising: 64 receiving input data; creating a modulated sinusoidal waveform having amplitude perturbations of reduced power at selected phase angles of the modulated sinusoidal waveform wherein the amplitude perturbations represent values of the input data; and generating an encoded analog waveform based upon the modulated sinusoidal waveform; wherein a first energy associated with a first of the amplitude perturbations is substantially equal to a second energy associated with a second of the amplitude perturbations. 41. The method of claim 40 wherein a third energy associated with a third of the amplitude perturbations is substantially equal to a fourth energy associated with a fourth of the amplitude perturbations. 42. The method of claim 41 wherein the first of the amplitude perturbations is defined over a first phase angle range including 45°, the second of the amplitude perturbations is defined over a second phase angle range including 225°, the third of the amplitude perturbations is defined over a third phase angle range including 135°, and the fourth of the amplitude perturbations is defined over a fourth phase angle range including 315°. 43. A non-transitory computer readable medium that comprises program instructions for modulated sinusoidal waveform generation that, when executed by a processor, causes the processor to: receive input data; and generate a modulated sinusoidal waveform having a plurality of amplitude perturbations, each of the plurality of amplitude perturbations corresponding to a reduction in a power of an unmodulated sinusoidal waveform over a phase angle range in accordance with a value of the input data; wherein an encoded analog waveform is produced based upon the modulated sinusoidal waveform and wherein a first energy associated with a first of the plurality of amplitude perturbations is substantially equal to a second energy associated with a second of the plurality of amplitude perturbations. 65 |