In this paper, we present a method of constructing PAM constellations with non-uniform spacing by determining the symbol amplitudes based on warping the uniform distancing by applying the inverse error function. The construction method can adapt to symbol energy (SNR) constraints by adjusting one parameter. This parameter determines the degree of separation of the outermost pair of constellation symbols from the inner symbols and the degree of spacing uniformity. Optimization of this parameter is discussed for maximizing the equiprobable mutual information of the channel having the constellation. The equiprobable mutual information of the constellation constructed by the suggested method is compared against the uniform spacing and the Gaussian approximated spacing, which asymptotically approaches the AWGN capacity.
Constellation Design with Equal-probability Partition of a Cropped Gaussian Distribution
2020-11-01
750618 byte
Conference paper
Electronic Resource
English
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