New Solutions for the Support Region Calculation of Logarithmic Quantizers for the Laplacian Source

The main aim of the paper is to provide effective and accurate solutions for the calculation of the support region of the logarithmic companding quantizers. A new solution for the starting point of iterative methods will be proposed, that provide very accurate value of the support region only after one iteration of the iterative method. Based on this new starting point, an accurate closed-form approximate expression for the calculation of the support region will be derived, as a main contribution of the paper. Due to their numerous advantages (robustness, adjustability to the statistical distribution of the input signal), logarithmic quantizers are considered to be used in many topical applications, such as in receivers of 5G wireless systems or in neural networks for quantization of weights and activations.