Untangling Phase and Time in Monophonic Sounds

• 作者: Henning Thielemann
• 来源期刊: 信号与信息处理(英文)
• 学科: 医学
• 关键词: PITCH SHIFTING Time STRETCHING WAVE TABLE Synthesis
• 年，卷（期）: 2010,（1）
• 页码范围: 1-17
• 页数: 17页
• 分类号: R73

摘要

We are looking for a mathematical model of monophonic sounds with independent time and phase dimensions. With such a model we can resynthesise a sound with arbitrarily modulated frequency and progress of the timbre. We propose such a model and show that it exactly fulfils some natural properties, like a kind of timeinvariance, robustness against non-harmonic frequencies, envelope preservation, and inclusion of plain resampling as a special case. The resulting algorithm is efficient and allows to process data in a streaming manner with phase and shape modulation at sample rate, what we demonstrate with an implementation in the functional language Haskell. It allows a wide range of applications, namely pitch shifting and time scaling, creative FM synthesis effects, compression of monophonic sounds, generating loops for sampled sounds, synthesise sounds similar to wavetable synthesis, or making ultrasound audible.