Resource Allocation for Quantity of Information Delivery in Parallel Channels

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Energy consumption of data communication systems is becoming an important issue due to the large use of devices. The evaluation of energy consumption can be done from various perspectives which include implementation and hardware issues as circuit consumption and non ideal performing signal processing algorithms for data recovery \cite{LI11, AUER11}. In fact, it is well-known that the minimum signal energy per information bit that is required for reliable communications in a Gaussian channel can be obtained from the minimum signal-to-noise ratio (SNR) that is equal to $-1.59$~dB. This result was firstly derived in~\cite{SHAN49} in the asymptotic regime assuming that the transmission of the information requires an infinite amount of time. More recently it has been extended to a general class of channels in~\cite{VERD02} and it has been shown that it can be achieved as the bandwidth goes to infinity. In the green communications context, this lower limit gives the minimal transmit energy per bit required for reliable communication. Consequently, the efficiency of green communication systems can be measured using the bit-per-Joule (bit/J) metric~\cite{CHEN10, LI11}. This performance metric has been studied taking into account various aspects both with pragmatic and information theoretic approaches~\cite{BELM10}. All communication layers are concerned~\cite{AYAD11, SEAH10} and the cross-layer approach~\cite{MIAO09} is useful for the holistic treatment of the energy consumption
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