用加法合成实现无混叠振荡器同步，支持任意周期波形。
Alias-Free Oscillator Synchronization via Additive Synthesis
- 基于傅里叶系数的线性频谱重采样，实现无混叠同步
- 可生成96kHz、24位、最多512谐波的同步波形
- 专用芯片HASY每5个音频周期完成一次计算
振荡器同步是广泛应用的声音合成技术，但直接的数字实现会产生混叠伪影。本文提出一种基于加法合成的无混叠方法，用于数字模拟任意周期波形的振荡器同步。从代表带限自由运行波形的有限傅里叶级数系数出发，推导出线性频谱重采样变换，将这些系数映射到带限同步波形的系数。该方法不仅支持传统硬同步，还包含两种新型软同步模式。为解决计算复杂度问题，提出HASYS，一款采用65 nm CMOS工艺制造的6 mm²专用集成电路（ASIC）。HASYS可在仅五个音频样本周期内完成频谱重采样变换，并生成最高512次谐波、96 kHz、24位的无混叠同步波形。
原文摘要 · Abstract (English)
Oscillator synchronization is a widely used sound-synthesis technique, but straightforward digital implementations suffer from aliasing artifacts. This paper presents an alias-free method for digital emulation of oscillator synchronization of arbitrary periodic waveforms based on additive synthesis. Starting from a finite set of Fourier-series coefficients representing a bandlimited free-running waveform, we derive linear spectral-resampling transforms that map these coefficients to those of the bandlimited synchronized waveform. Beyond conventional hard synchronization, the proposed approach also supports two additional soft-synchronization modes. To address the high computational complexity of the proposed method, we introduce HASY, a 6 mm^2 application-specific integrated circuit (ASIC) fabricated in 65 nm CMOS technology. HASY generates one 96 kHz, 24 bit alias-free synchronized waveform with up to 512 harmonics and computes the spectral-resampling transform within only five audio-sample periods.
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