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This paper come as a proposal to achieve modification on the latest standard of mobile communications that is Long Term Evolution. The paper first studies the error control coding in the standard, which is based on the turbo code for high data rate and convolution code for low data rate. Following that, the paper adopted medical network channel code through the channel code of the fourth generation...
A well known trellis coded modulation using a set partitioning has a shortcoming. Even if a powerful error correcting code is applied to the coded modulation, the smallest squared Euclidean distance between different coded sequences can not exceed the minimum squared Euclidean distance between pairwise signal points mapped by uncoded information bits in any one of the subsets. Ring convolutional codes...
To analyze the structure of a set of high-dimensional perfect sequences over a composition algebra over ℝ, we developed the theory of Fourier transforms of such sequences. Transforms that are similar to discrete Fourier transforms (DFTs) are introduced for a set of sequences. We define the discrete cosine transform, the discrete sine transform, and the generalized discrete Fourier transform (GDFT)...
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