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Ultra-reliable wireless communication links require the utilization of alldiversity sources of a wireless communication channel. Hadani et al. propose atwo dimensional discrete symplectic Fourier transform (DSFT) as orthogonalpre-coder for a time-frequency modulation scheme. In this paper we explore\emph{general} orthogonal precoding (OP) and its performance in time- andfrequency-selective channels. We show that iterative parallel interferencecancellation (PIC) and iterative channel estimation methods can be used for thedetection of OP. A scalar signal model for OP transmission is obtained by PIC.Based on this signal model, we can prove that all constant modulus sequences,e.g. the DSFT basis functions or Walsh-Hadamard sequences, lead to the sameperformance for OP. We validate our receiver structure by numerical link levelsimulations of a vehicle-to-vehicle communication link with a relative velocityof $0\ldots200\,\text{km/h}$. We demonstrate that OP achieves a gain of about$4.8\,\text{dB}$ if compared to orthogonal frequency division multiplexing at abit error rate of $10^{-4}$. Our performance results for coded OP are the bestresults for a fully documented receiver architecture, published so far.

Iterative Detection for Orthogonal Precoding in Doubly Selective Channels