Abstract: A high data rate UWB system implements a frame structure that uses a connected set of m-sequences comprising the lowest possible cross-correlation and perfect, or near perfect autocorrelation. Each m-sequence can be used to identify a different piconet. A very efficient code matched filter can then be used to decode the frames and achieve synchronization with a piconets.
Abstract: A method for forming a plurality of parity check matrices for a plurality of data rates for use in a Low-Density Parity-Check (LDPC) decoder, comprises establishing a first companion exponent matrix corresponding to a first parity check matrix for a first data rate, and partitioning the first parity check matrix and the first companion exponent matrix into sub-matrices such that the first parity check matrix is defined using a cyclical shift of an identity matrix.
Abstract: A UWB system comprising a plurality of piconets, wherein each piconet uses a different code to generate a preamble for use in communicating with a plurality of remote communication devices. The preamble can be generated from the combination of repeated versions of the code, negative versions of the code, and no code or zero, the codes used have a perfect autocorrelation function and optimal cross-correlation.