Optimum Bit-by-Bit Power Allocation for Minimum Distortion Transmission - Optimum Power Allocation Scheme for Uncoded/Coded Systems

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Optimum Bit-by-Bit Power Allocation for Minimum Distortion Transmission - Optimum Power Allocation Scheme for Uncoded/Coded Systems - Arzu Karaer

Digital communications is an important part of modern communications. A digital communication system usually converts analog signals such as voice and video into discrete symbols which can be represented as bits (quantization) and transmits them in a form that can be received reliably. A conventional digital communication system usually transmits all the bits obtained from the quantizer with the same power. In this book, we consider a joint souce-channel coding problem and minimize the end-to-end mean square error distortion (MSE) of a communication system through power allocation to the transmitted bits. This communication system consists of a quantizer with natural binary mapping and Binary Phase Shift Keying (BPSK) modulator at the transmitter and we consider the cases with and without coding. We show that there is an optimal transmit power allocation to the transmitted bits of the quantized word that minimizes MSE. In the first part of the book, the case with no channel coding is considered with hard decision decoding at the receiver. The optimum power allocation is determined analytically by using the Chernoff bound and through computer-based optimization methods. In the second part of the book, SPC codes and Hamming codes are considered. A near optimum power allocation scheme is derived and near optimum power allocation is obtained. In the last part of the book, we look at a scheme to find a general power allocation scheme for all block codes. The book is addressed to professionals and researchers in wireless communications.