V2EX group delay

Group Delay

释义 Definition

群时延:在信号处理与通信中,指系统对不同频率分量的包络(或调制信息)所表现出的延迟量,常定义为相位响应对角频率的负导数:
\(\tau_g(\omega) = -\frac{d\phi(\omega)}{d\omega}\)。
(另有更一般的“群体延迟/组延迟”用法,但以上为最常见技术义。)

发音 Pronunciation (IPA)

/rup dle/

例句 Examples

The filter has a nearly constant group delay in the passband.
该滤波器在通带内的群时延几乎恒定。

To preserve the waveform shape, the designer minimized group delay variation across the audio band, reducing dispersion and improving transient clarity.
为保持波形形状,设计者尽量减小音频频段内群时延的变化,从而降低色散并提升瞬态清晰度。

词源 Etymology

group(群、组)+ delay(延迟)。这里的“group”指信号中一组相近频率成分形成的“波包/包络”(group of frequencies / wave packet),而“delay”强调系统对该包络传播或通过时的有效时间延后。该术语在电信与滤波理论发展中逐步固定下来,用于区分只看单频相位的“相位延迟(phase delay)”与对波包更相关的“群时延”。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Signals and Systems(Oppenheim & Willsky):在频域分析与相位/延迟讨论中涉及群时延概念。
  • Digital Signal Processing: Principles, Algorithms, and Applications(Proakis & Manolakis):在滤波器相位特性、延迟与失真分析中使用该术语。
  • Microwave Engineering(David M. Pozar):在微波网络与器件的相位响应、传播与群时延测量/意义讨论中出现。
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