In this paper, we propose a Polar coding scheme for parallel Gaussian channels. The encoder knows the sum rate of the parallel channels but does not know the rate of any channel. By using the nesting property of Polar code, we design a coding/decoding scheme to achieve the sum rates. Keywords-Polar codes; Paralle Gaussian channels.

The uni-polar orthogonal codes, with code length 'n' and code weight 'w' having auto-correlation and cross-correlation constraints equal to 1, can be designed with proposed algorithm. This proposed scheme design all the possible groups containing maximum number of orthogonal codes as per Johnson bounds. In this case, each of the designed groups is independent with other groups of uni-polar orth...

A molecular dynamics calculation of the amino acid polar requirement is used to score the canonical genetic code. Monte Carlo simulation shows that this computational polar requirement has been optimized by the canonical genetic code, an order of magnitude more than any previously known measure, effectively ruling out a vertical evolution dynamics. The sensitivity of the optimization to the pre...

A design of rate-compatible polar codes suitable for HARQ communications is proposed in this paper. An important feature of the proposed design is that the puncturing order is chosen with low complexity on a base code of short length, which is then further polarized to the desired length. A practical ratematching system that has the flexibility to choose any desired rate through puncturing or r...

A new cooperative punctured polar coding (CPPC) scheme with multi joint successive cancellation (MJSC) decoding at the destination is proposed, which may be obtained by applying puncturing algorithm to cooperative polar coding scenario. In this proposed algorithm we generate a cooperative scheme for punctured polar codes with various code lengths by employing the reduction of the general polari...

We consider two problems related to polar codes. First is the problem of polar codes construction and analysis of their performance without Monte-Carlo method. The formulas proposed are the same as those in [Mori-Tanaka], yet we believe that our approach is original and has clear advantages. The resulting computational procedure is presented in a fast algorithm form which can be easily implemen...

This paper investigates the impact of puncturing on finite-length polar codes in which a puncturing pattern p = (p0, ..., pN ) is applied to a length-N polar code.. We first introduce two virtual channels to stochastically model the punctured (untransmitted) bits, which are respectively called useless channel model (UCM) and deterministic channel model (DCM). Under each model, we derive boolean...

We design polar codes for empirical coordination and strong coordination in two-node networks. Our constructions hinge on the fact that polar codes enable explicit low complexity schemes for soft covering. We leverage this property to propose explicit and low-complexity coding schemes that achieve the capacity regions of both empirical coordination and strong coordination for sequences of actio...