Patent ID: 8199837

Claim:
A communications method comprising: forming a desired spectrum shape for a waveform; generating the waveform responsive to the desired spectrum shape; and transmitting and/or receiving information by transmitting and/or receiving at a transmitter and/or at a receiver, a plurality of elements of the waveform sequentially one after another via 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); wherein transmitting and/or receiving information by transmitting and/or receiving at a transmitter and/or at a receiver, a plurality of elements of the waveform sequentially one after another via a single carrier frequency comprises transmitting and/or receiving the elements of U(nT) sequentially via the single carrier frequency by transmitting and/or receiving U(T) via the single carrier frequency, followed by transmitting and/or receiving U(2T) via the single carrier frequency, . . . , followed by transmitting and/or receiving U(NT) via the single carrier frequency; and wherein said forming a desired spectrum shape for a waveform further comprises: using a first plurality of frequencies over a first time interval; and using a second plurality of frequencies over a second time interval; wherein the first plurality of frequencies differs from the second plurality of frequencies in at least one frequency.