Patent ID: 7881393

Claim:
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).