Showing papers on "Noisy-channel coding theorem published in 1966"
TL;DR: The design of a communications system consisting of a sequential encoder-decoder, working in conjunction with a modulation-detection system is considered from the point of view of high-information transmission efficiency and emphasis is placed on M orthogonal signal modulation and a scheme known as list-of- l quantization.
Abstract: The design of a communications system consisting of a sequential encoder-decoder, working in conjunction with a modulation-detection system is considered from the point of view of high-information transmission efficiency. Emphasis is placed on M orthogonal signal modulation and a scheme known as list-of- l quantization. The results of a computer study of the computational behavior of the sequential decoder are described and used to predict buffer memory overflow probability. The described design procedure allows prediction of system performance to within a fraction of a decibel. A practical sequential decoder and a list-of- l modulation-detection system of reasonable complexity, can achieve performance on a white Gaussian channel to within 4.5 dB of the Shannon limit with coherent reception and to within 7 dB with incoherent reception.
54 citations
TL;DR: The transmission of a nonbandlimited analog signal over a digital channel with a fixed bit-rate is considered and the resulting mean-square error goes to zero with large channel bit-rates in a slower manner than the Shannon limit, which assumes a strictly bandlimited signal and perfect reconstruction.
Abstract: The transmission of a nonbandlimited analog signal over a digital channel with a fixed bit-rate is considered. The trade-off between the mean-square error due to quantizing and the mean-square error due to the process of sampling and reconstructing the signal is investigated. Simple approximations to these errors, which are valid in most practical situations, are derived, and simple expressions are obtained from which the optimum sampling interval and number of bits per sample can be calculated. Results for first-, second-, and third-order Butterworth and fiat bandlimited spectra, together with the zero-order hold and the linear point connector, are included. The resulting mean-square error goes to zero with large channel bit-rates in a slower manner than the Shannon limit, which assumes a strictly bandlimited signal and perfect reconstruction.
13 citations