On the Performance of Uniform Threshold Quantization for a sum of Independent Memoryless Laplacian Sources

The performance of uniform threshold quantization subject to an entropy constraint is studied for a sum of two and three independent zero-mean memoryless Laplacian sources. Both symmetric and asymmetric quantizers are considered, and approximate parametric expressions for the operational rate-distortion function R(D) are obtained for all rates. In particular, the low rate regime (rates below 1 bit per sample) is considered and simpler expressions for R(D) are derived. It is envisioned that these expressions will facilitate rate estimation in practical Wyner-Ziv coding with low complexity encoder.