A data communication method is provided, comprising: processing high-speed digital data for communication to produce processed data; generating short impulse wavelets; constructing a digitally modulated ultra wideband signal from the short impulse wavelets in response to bits of the processed data, wherein the digitally modulated ultra wideband signal comprises a series of the short impulse wavelets, and the value of each bit of the processed data is digitally modulated onto the shape of at least one of the short impulse wavelets of the series, to produce a series of digitally shape modulated impulse wavelets; and transmitting the digitally modulated ultra wideband signal, including the series of digitally shape modulated impulse wavelets, via an antenna.