Complex lattice reduction algorithm for low-complexity full-diversity MIMO detection
IEEE Transactions on Signal Processing
On full diversity space-time block codes with partial interference cancellation group decoding
IEEE Transactions on Information Theory
Recursive space-time trellis codes using differential encoding
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
An elementary condition for non-norm elements
IEEE Transactions on Information Theory
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A new approach is presented for the design of full modulation diversity (FMD) complex lattices for the Rayleigh-fading channel. The FMD lattice design problem essentially consists of maximizing a parameter called the normalized minimum product distance dp2 of the finite signal set carved out of the lattice. We approach the problem of maximizing dp2 by minimizing the average energy of the signal constellation obtained from a new family of FMD lattices. The unnormalized minimum product distance for every lattice in the proposed family is lower-bounded by a nonzero constant. Minimizing the average energy of the signal set translates to minimizing the Frobenius norm of the generator matrices within the proposed family. The two strategies proposed for the Frobenius norm reduction are based on the concepts of successive minima (SM) and basis reduction of an equivalent real lattice. The lattice constructions in this paper provide significantly larger normalized minimum product distances compared to the existing lattices in certain dimensions. The proposed construction is general and works for any dimension as long as a list of number fields of the same degree is available.