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Pulse position modulated space–time trellis coding for ultra-wideband impulse radio multiple-input multiple-output communication systems

Pulse position modulated space–time trellis coding for ultra-wideband impulse radio multiple-input multiple-output communication systems

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The design of pulse position modulated (PPM) space–time trellis codes (STTC) for ultra-wideband impulse radio (UWB-IR) multiple-input multiple-output (MIMO) communication systems over slow and fast fading multipath channels is considered. First, A probability of error analysis is carried out to derive upper bounds on pairwise symbol error probability at high and low signal-to-noise ratios (SNRs). From the upper bounds, A new distance notion is introduced and novel design criteria for optimal (in error rate performance) M-ary PPM STTC are deduced for UWB. An optimal binary-PPM STTC is designed for two transmit antennas. Finally, simulation results of the UWB-IR MIMO system, using the optimal STTC, confirm significant improvement in bit-error-rate performance over the uncoded UWB-IR single-input single-output system and also over previously proposed space–time coding scheme for UWB, at higher SNR.

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