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.

 
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