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- Vahid Tarokh, Hamid Jafarkhani, A. Robert Calderbank
- IEEE Trans. Information Theory
- 1999

We introduce space–time block coding, a new paradigm for communication over Rayleigh fading channels using multiple transmit antennas. Data is encoded using a space–time block code and the encoded data is split into n streams which are simultaneously transmitted using n transmit antennas. The received signal at each receive antenna is a linear superposition… (More)

- Vahid Tarokh, Nambi Seshadri, A. Robert Calderbank
- IEEE Trans. Information Theory
- 1998

We consider the design of channel codes for improving the data rate and/or the reliability of communications over fading channels using multiple transmit antennas. Data is encoded by a channel code and the encoded data is split into n streams that are simultaneously transmitted using n transmit antennas. The received signal at each receive antenna is a… (More)

- Vahid Tarokh, Hamid Jafarkhani, A. Robert Calderbank
- IEEE Journal on Selected Areas in Communications
- 1999

We document the performance of space–time block codes [13], [14], which provide a new paradigm for transmission over Rayleigh fading channels using multiple transmit antennas. Data is encoded using a space–time block code, and the encoded data is split into n streams which are simultaneously transmitted using n transmit antennas. The received signal at each… (More)

- A. Robert Calderbank, Eric M. Rains, Peter W. Shor, N. J. A. Sloane
- IEEE Trans. Information Theory
- 1998

The problem of finding quantum-error-correcting codes is transformed into the problem of finding additive codes over the field GF (4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits. Manuscript received ;… (More)

- A. Roger Hammons, P. Vijay Kumar, A. Robert Calderbank, N. J. A. Sloane, Patrick Solé
- IEEE Trans. Information Theory
- 1994

Certain notorious nonlinear binary codes contain more codewords than any known linear code. These include the codes constructed by Nordstrom-Robinson , Kerdock, Preparata, Goethals, and Delsarte-Goethals . It is shown here that all these codes can be very simply constructed as binary images under the Gray map of linear codes over Z4, the integers mod 4… (More)

- Mung Chiang, Steven H. Low, A. Robert Calderbank, John Doyle
- Proceedings of the IEEE
- 2007

| Network protocols in layered architectures have historically been obtained on an ad hoc basis, and many of the recent cross-layer designs are also conducted through piecemeal approaches. Network protocol stacks may instead be holistically analyzed and systematically designed as distributed solutions to some global optimization problems. This paper… (More)

Invertible wavelet transforms that map integers to integers have important applications in lossless coding. In this paper we present two approaches to build integer to integer wavelet transforms. The first approach is to adapt the precoder of Laroia et al., which is used in information transmission; we combine it with expansion factors for the high and low… (More)

- Vahid Tarokh, Ayman F. Naguib, Nambi Seshadri, A. Robert Calderbank
- IEEE Trans. Information Theory
- 1999

A quantum error-correcting code is a way of encoding quantum states into qubits (two-state quantum systems) so that error or decoherence in a small number of individual qubits has little or no effect on the encoded data. The existence of quantum error-correcting codes was discovered only recently [1]. Although the subject is relatively new, a large number… (More)

- Vahid Tarokh, Ayman F. Naguib, Nambi Seshadri, A. Robert Calderbank
- IEEE Trans. Communications
- 1999