We propose a novel technique of using bit allocation for linear prediction coefficients in asymmetric lossless audio compression. We show how to determine the optimal bit allocation using a new closed-form formula for the excess error from quantization and describe a recently introduced algorithm (Optimization-Quantization Least Squares) which computes the optimal quantized prediction coefficients applied for the allocation. The proposed method, implemented as a modified asymmetrical OptimFROG, obtains small (but consistent) signal dependent compression improvements with virtually no decoder complexity increase (for an 847 MB audio corpus, up to 0.27%, on average around 0.06%). Compared to MPEG-4 ALS, it obtained 0.38% better compression, while being at the same time approximately 5 times faster at decoding.
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