Arıkan’s polar coding, is by now a well studied technique that allows achieving the symmetric capacity of binary input memoryless channels with low complexity encoding and decoding, provided that the polar decoding architecture is used and the decoding metric is matched to the true channel. In this paper, we analyze communication rates that are achievable when the polar coding/decoding architec...

In this chapter we provide a brief introduction to multidimensional codes. In particular, we focus on product codes and other similar codes that use parity checks over multidimensional arrays. We present a brief introduction to product codes and their properties. We then focus on multidimensional codes based on single parity-check constituent codes. We provide two applications that illustrate t...

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Abstract—In this paper, the concept of composibility of the total channel capacity of the system of channels composed of two independent subsystems of channel is discussed. This system of channels is a function of entropies of the subsystems. Here, we show that the generalized entropies, the Tsalli’s entropy, the normalized Tsalli’s entropy and the Kapur’s entropy are compatible with the compos...

objective: the aim of this study was to evaluate and compare the cleaning ability and instrumentation time of manual and rotary methods used for preparation of primary anterior teeth. materials and methods: forty-four primary anterior teeth were used in this experimental study. access cavities were prepared and india ink was injected into the canals. the samples were divided into three groups a...

this study was designed to elucidate the effect of ascorbic acid on salivary total antioxidant capacity in smokers. in this single blind crossover clinical trial, the whole unstimulated saliva of 30 smokers, who were randomly divided into two groups, was collected. in the first phase after the saliva collection, one group of patients took 500 mg of vitamin c powder, for 3 weeks. then, saliva of...

Abstract— In this paper, a channel that is contaminated by two independent Gaussian noises S ∼ N (0, Q) and Z0 ∼ N (0, N0) is considered. The capacity of this channel is computed when independent noisy versions of S are known to the transmitter and/or receiver. It is shown that the channel capacity is greater then the capacity when S is completely unknown, but is less then the capacity when S i...

The performance loss due to separation of detection and decoding on the binary-input Gaussian CDMA channel is calculated in the large system limit. It is shown that a previous result in [1] found for Gaussian input alphabet holds also for binary input alphabet.

We define a class of symmetric discrete memoryless multiple-access channels. This definition incorporates previous definitions of symmetry for single user channels and is characterized by the optimality of the uniform distribution with respect to total channel capacity. We further identify a sub-class of channels in which channel symmetry is a direct result of a transposition symmetry in the tr...