The polar codes are proven to be capacity-achieving and are shown to have equivalent or even better finite-length performance than the turbo/LDPC codes under some improved decoding algorithms over the additive white Gaussian noise (AWGN) channels. Polar coding is based on the so-called channel polarization phenomenon induced by a transform over the underlying binary-input channel. The channel p...

We prove that some quantized Arnold cat maps are entropic K-systems. This result was formulated by H. Narnhofer [1], but the fact that the optimal decomposition for the multi-channel entropy constructed there is not strictly local was not appropriately taken care of. We propose a strictly local decomposition based on a construction of Voiculescu.

The construction of boundary filters without DC leakage for two-channel paraunitary FIR filter banks is considered. The design procedure is based on orthogonal boundary filters which are optimal in a weighted mean square error sense in the Fourier domain and on Householder transformation of boundary filter matrices. Simulation results are presented for boundary filters based on minimum-phase Da...

Firms engaged in remanufacturing activities generally adopt more than one recycling channel to collect more used products and gain more profits. This paper explores the optimal strategies for a retailer-dominated closed-loop supply chain (CLSC) with a triple recycling channel in the construction machinery remanufacturing context. In this special system, the retailer is the leader and authorized...

The Möbius function is utilised to propose a class of multi-channel, multi-sampling rate theorems. Our construction facilitates a parallel decomposition of the Fourier transform into an array of general integral transform operators. A practical example is discussed which employs a complex square wave biorthonormal basis.

In this article we consider flagged extensions of convex combination quantum channels, and find general sufficient conditions for the degradability extension. An immediate application is a bound on $Q$ private $P$ capacities any channel being mixture unitary map another channel, with probability associated to component larger than $1/2$. We then specialize our Pauli obtaining family upper bound...

Sufficient conditions to ensure QAM space-time codes achieve full space diversity in quasistatic fading channel are presented. T h e conditions are o n code words or generator matrices instead of on every code word pair. This greatly simplifies the construction of full space diversity codes.

Fast-decodable distributed space-time codes are constructed by adapting the iterative code construction introduced in [1] to the N -relay multiple-input multiple-output channel, leading to the first fast-decodable distributed space-time codes for more than one antenna per user. Explicit constructions are provided alongside with a performance comparison to non-iterated (non-) fast-decodable codes.

A flow-through ultrasonic separator constructed entirely from PMMA has been demonstrated for the first time. Continuous extraction of lipids from milk has been achieved. Construction is simple, requiring channels to be embossed at low temperatures (120°C) with a room temperature solvent bond used to close the channel.

A generalization of Arıkan’s polar code construction using transformations of the form G where G is an l × l matrix is considered. Necessary and sufficient conditions are given for these transformations to ensure channel polarization. It is shown that a large class of such transformations polarize symmetric binary-input memoryless channels.