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- Amin Sakzad, Emanuele Viterbo, Yi Hong, Joseph Jean Boutros
- 2012 International Symposium on Network Coding…
- 2012

A key issue in compute-and-forward for physical layer network coding scheme is to determine a good function of the received messages to be reliably estimated at the relay nodes. We show that this optimization problem can be viewed as the problem of finding the closest point of Z[i]<sup>n</sup> to a line in the n-dimensional complex Euclidean space, within a… (More)

- Hassan Khodaiemehr, Mohammad-Reza Sadeghi, Amin Sakzad
- ArXiv
- 2016

LDPC lattices were the first family of lattices that equipped with iterative decoding algorithms under which they perform very well in high dimensions. In this paper, we introduce quasi cyclic low density parity check (QC-LDPC) lattices as a special case of LDPC lattices with one binary QC-LDPC code as their underlying code. These lattices are obtained from… (More)

- Amin Sakzad, Mohammad-Reza Sadeghi, Daniel Panario
- 2010 48th Annual Allerton Conference on…
- 2010

In this work we introduce and establish the concept of turbo lattices. We employ a routine method for constructing lattices, called Construction D, to construct turbo lattices. This kind of construction needs a set of nested linear codes as its underlying structure. We benefit from turbo codes as our bases codes. Therefore, we first build a set of nested… (More)

- Amin Sakzad, J. Harshan, Emanuele Viterbo
- IEEE Trans. Wireless Communications
- 2013

—A new architecture called integer-forcing (IF) linear receiver has been recently proposed for multiple-input multiple-output (MIMO) fading channels, wherein an appropriate integer linear combination of the received symbols has to be computed as a part of the decoding process. In this paper, we propose a method based on Hermite-Korkine-Zolotareff (HKZ) and… (More)

- Amin Sakzad, J. Harshan, Emanuele Viterbo
- 2013 Australian Communications Theory Workshop…
- 2013

Integer-forcing (IF) linear receiver has been recently introduced for multiple-input multiple-output (MIMO) fading channels. The receiver has to compute an integer linear combination of the symbols as a part of the decoding process. In particular, the integer coefficients have to be chosen based on the channel realizations, and the choice of such… (More)

- Amin Sakzad, Emanuele Viterbo, Joseph Jean Boutros, Yi Hong
- 2014 IEEE International Symposium on Information…
- 2014

In this work, we propose phase precoding for the compute-and-forward (CoF) protocol. We derive the phase precoded computation rate and show that it is greater than the original computation rate of CoF protocol without precoder. To maximize the phase precoded computation rate, we need to `jointly' find the optimum phase precoding matrix and the corresponding… (More)

- Mohammad-Reza Sadeghi, Amin Sakzad
- 2013 Iran Workshop on Communication and…
- 2013

The low-density parity-check (LDPC) lattices perform very well in high dimensions under generalized min-sum iterative decoding algorithm. In this work, we focus on 1-level LDPC lattices. We show that these lattices are the same as lattices constructed based on Construction A and low-density lattice-code (LDLC) lattices. In spite of having slightly lower… (More)

- Daniel Panario, Amin Sakzad, Brett Stevens, Qiang Wang
- IEEE Transactions on Information Theory
- 2011

We introduce the concepts of weighted ambiguity and deficiency for a mapping between two finite Abelian groups of the same size. Then, we study the optimum lower bounds of these measures for permutations of an Abelian group. A construction of permutations, by modifying some permutation functions over finite fields, is given. Their ambiguity and deficiency… (More)

—In this paper a new class of lattices called turbo lattices is introduced and established. We use the lattice Construction D to produce turbo lattices. This method needs a set of nested linear codes as its underlying structure. We benefit from turbo codes as our basis codes. Therefore, a set of nested turbo codes based on nested interleavers (block… (More)

- Amin Sakzad, Emanuele Viterbo
- IEEE Trans. Wireless Communications
- 2015

We consider a point-to-point flat-fading MIMO channel with channel state information known both at transmitter and receiver. At the transmitter side, a lattice coding scheme is employed at each antenna to map information symbols to independent lattice codewords drawn from the same codebook. Each lattice codeword is then multiplied by a unitary precoding… (More)