Waveforms comprising a plurality of elements and transmission thereof

  • US 7,881,393 B2
  • Filed: 11/17/2009
  • Issued: 02/01/2011
  • Est. Priority Date: 06/22/2005
  • Status: Active Grant
First Claim
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1. A communications method comprising:

  • providing a frequency content for a waveform by Fourier transforming a signal;

    forming a desired spectrum shape for the waveform, that differs from the frequency content, responsive to the frequency content;

    generating the waveform by inverse Fourier transforming 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 by inverse Fourier transforming 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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