A system incorporates time-hopped impulse-radio (TH-IR),
transmitted-reference impulse-radio (TR-IR) and noncoherent transceivers
in the same wireless network. A transmitter modulates a sequence of bits
in a wireless communications network by selecting one coding sequence
from a set of orthogonal or quasi-orthogonal coding sequences based on a
current subsequence of bits of the input sequence, generating a reference
waveform and a data waveform of a waveform pair for each sequence.