Versatile music processing by combining statistical signal processing and music theory

结合统计信号处理和音乐理论的数学模型，研究了音乐、声学和语音的信号和信息处理。就像语音识别的关键技术是声学和语言处理的结合一样，音乐处理的关键技术是信号处理和音乐理论的结合。更准确地说，我们开发了A：基于数学模型和统计学习的音乐信号分析、转换、分离和检测，B：基于音乐理论数学公式的和弦识别、节奏分析、分割、结构分析、体裁识别，以及C：基于机器学习和数学优化的自动音乐渲染、自动音乐作曲、自动音乐伴奏和自动音乐编曲。

We investigated signal and information processing of music, acoustic and speech by integrating statistical signal processing and mathematical models of music theory. Just as integration of acoustic and linguistic processing was the key technology in speech recognition, integrating signal processing and music theory is essential in music processing. More precisely, we developed A: analysis, conversion, separation and detection of music signals based on mathematical models and statistical learning, B: chord recognition, rhythm analysis, segmentation, structural analysis, genre recognition based on mathematical formulation of music theory, and C: automatic music rendering, automatic music composition, automatic music accompaniment and automatic music arrangement based on machine learning and mathematical optimization.