Representations of the Complex-Valued Frequency-Domain LPC for Audio Coding

For decades, linear predictive (LP) analysis of the real-valued time-domain signals has been developed for speech coding, analysis, and synthesis. Recently, the complex-valued frequency-domain LP coding was developed to enhance the estimation performance of the temporal envelope. To apply it for audio coding, a suitable representation for the complex-valued frequency-domain LP coefficients (CLPC) is required before quantization, but there was no efficient way to represent it. To address the problem, we propose efficient CLPC representations that retain some useful properties of conventional LPC representations. Through quantitative and qualitative evaluations, we demonstrate that our proposed representations increase quantization efficiency and improve audio coding performance.