SYSTEMS/METHODS OF SEQUENTIAL MODULATION OF A SINGLE CARRIER FREQUENCY BY A PLURALITY OF ELEMENTS OF A WAVEFORM
First Claim
Patent Images
1. A communications method comprising:
- forming a desired spectrum shape for a waveform;
generating the waveform responsive to the desired spectrum shape; and
transmitting the waveform by using a plurality of elements thereof sequentially one after another to modulate a single carrier frequency;
wherein generating the waveform responsive to the desired spectrum shape comprises generating a discrete time-domain waveform U(nT);
wherein n denotes a discrete time index of U(nT);
wherein n=1, 2, . . . , N; and
NT≦
τ
;
wherein τ
denotes a time span of the discrete time-domain waveform U(nT); and
wherein transmitting the waveform by using a plurality of elements thereof sequentially one after another to modulate a single carrier frequency comprises using substantially all of the elements of U(nT) sequentially to modulate the single carrier frequency by using U(T), followed by using U(2T), . . . , followed by using U(NT).
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Abstract
Systems and/or methods are disclosed for generating a waveform that comprises a plurality of elements by using a Fourier transform and/or an inverse Fourier transform. The waveform that comprises the plurality of elements may be transmitted by transmitting, sequentially in time, the plurality of elements. In some embodiments, the Fourier transform and/or inverse Fourier transform comprises a Fast Fourier Transform and/or Inverse Fast Fourier Transform and the waveform that comprises the plurality of elements may be transmitted by using, sequentially in time, the plurality of elements to modulate a single carrier frequency.
49 Citations
33 Claims
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1. A communications method comprising:
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forming a desired spectrum shape for a waveform; generating the waveform responsive to the desired spectrum shape; and transmitting the waveform by using a plurality of elements thereof sequentially one after another to modulate a single carrier frequency; wherein generating the waveform responsive to the desired spectrum shape comprises generating a discrete time-domain waveform U(nT);
wherein n denotes a discrete time index of U(nT);
wherein n=1, 2, . . . , N; and
NT≦
τ
;
wherein τ
denotes a time span of the discrete time-domain waveform U(nT); andwherein transmitting the waveform by using a plurality of elements thereof sequentially one after another to modulate a single carrier frequency comprises using substantially all of the elements of U(nT) sequentially to modulate the single carrier frequency by using U(T), followed by using U(2T), . . . , followed by using U(NT). - View Dependent Claims (2, 3, 4, 5, 6)
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7. A communications method comprising:
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forming a desired spectrum shape for a waveform; generating the waveform responsive to the desired spectrum shape; and transmitting the waveform by using a plurality of elements thereof sequentially one after another to modulate a single carrier frequency; wherein forming a desired spectrum shape for a waveform comprises; selecting a frequency interval over which the waveform is to exist; allowing at least one frequency that is included in the selected frequency interval to provide a frequency content to the waveform; and excluding at least one frequency that is included in the selected frequency interval from providing a frequency content to the waveform. - View Dependent Claims (8, 9, 10, 11, 12)
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13. A communications system comprising:
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a processor that is configured to form a desired spectrum shape for a waveform and to generate the waveform responsive to the desired spectrum shape; and a transmitter that is configured to transmit the waveform by using a plurality of elements thereof sequentially one after another to modulate a single carrier frequency; wherein the waveform comprises a discrete time-domain waveform U(nT);
wherein n denotes a discrete time index of U(nT);
wherein n=1, 2, . . . , N; and
NT≦
τ
;
wherein τ
denotes a time span of the discrete time-domain waveform U(nT); andwherein the transmitter is further configured to use substantially all of the elements of U(nT) sequentially to modulate the single carrier frequency by using U(T), followed by using U(2T), . . . , followed by using U(NT). - View Dependent Claims (14, 15, 16)
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17. A communications system comprising:
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a processor that is configured to form a desired spectrum shape for a waveform and to generate the waveform responsive to the desired spectrum shape; and a transmitter that is configured to transmit the waveform by using a plurality of elements thereof sequentially one after another to modulate a single carrier frequency; wherein the processor is configured to form the desired spectrum shape for the waveform to include; at least one frequency that provides a frequency content to the waveform; and at least one frequency that is excluded from providing a frequency content to the waveform. - View Dependent Claims (18, 19, 20)
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21. A communications method comprising:
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selecting a frequency interval over which a waveform U(nT) is to exist;
wherein n denotes a discrete time index and wherein n=1, 2, . . . , N;allowing at least one frequency that is included in the selected frequency interval to provide a frequency content to the waveform U(nT); excluding at least one frequency that is included in the selected frequency interval from providing a frequency content to the waveform U(nT); forming the waveform U(nT) comprising a plurality of elements U(T), U(2T), . . . , U(NT), corresponding to respective integer values 1, 2, . . . , N of the discrete time index n; and transmitting the waveform U(nT) by using the plurality of elements U(T), U(2T), . . . , U(NT) sequentially one after another to modulate a single carrier frequency by first using U(T) to modulate the single carrier frequency, followed by using U(2T) to modulate the single carrier frequency, . . . , followed by using U(NT) to modulate the single carrier frequency. - View Dependent Claims (22, 23, 24, 25, 26)
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27. A communications system comprising:
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a processor that is configured to select a frequency interval over which a waveform U(nT) is to exist, wherein n denotes a discrete time index and wherein n=1, 2, . . . , N;
to allow at least one frequency that is included in the selected frequency interval to provide a frequency content to the waveform U(nT);
to exclude at least one frequency that is included in the selected frequency interval from providing a frequency content to the waveform U(nT) and to form the waveform U(nT) comprising a plurality of elements U(T), U(2T), . . . , U(NT), corresponding to respective integer values 1, 2, . . . , N of the discrete time index n; anda transmitter that is configured to transmit the waveform U(nT) by using the plurality of elements U(T), U(2T), . . . , U(NT) sequentially one after another to modulate a single carrier frequency by first using U(T) to modulate the single carrier frequency, followed by using U(2T) to modulate the single carrier frequency, . . . , followed by using U(NT) to modulate the single carrier frequency. - View Dependent Claims (28, 29, 30, 31, 32, 33)
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Specification