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This paper proposes a linear time implementation of the Side Match Vector Quantization (SMVQ) algorithm. It maps the side match distortion values between codewords and a boundary vector onto an order-preserving integer sequence. Hence the SMVQ algorithm’s state codebook generation step can exploit any integer sorting algorithm to improve its overall runtime complexity. The proposed SMVQ implementations utilize the bucket sort algorithm to demonstrate this concept. The experimental results show a percentage change of −84.26% for  N  = 1024 (46.052–7.247 s) and −94.82% for  N  = 4096 (998.355–51.710 s) in the average execution time of the SMVQ algorithm.

A Strategy for the Linear Time Implementation of the SMVQ Algorithm