Abstract: To study the quantitative relation of dimension and complexity.The rate and distortion of distributed source vector quantization are characterized and analyzed through the point density function of a quantizer.The function of rate,distortion,dimension is then derived,and the asymptotic performance of vector quantization is analyzed.The function of dimension and performance is then obtained.Simulation results showed that rate-distortion performance can approach WynerZiv bound gradually with increasing dimension.The performance of distributed source vector quantization can approach Wyner-Ziv bound in the lower dimension case.So performance requirements can be met by low-dimension quantizer of less complexity.