group delay

简明释义

群时延

英英释义

Group delay refers to the time delay of the amplitude envelope of a wave packet as it travels through a medium, which is defined as the derivative of the phase shift with respect to angular frequency.

群延迟是指波包的幅度包络在通过介质时的时间延迟,定义为相位偏移对角频率的导数。

例句

1.The group delay variation across the frequency spectrum is critical for phase coherence.

频谱中群延迟的变化对相位一致性至关重要。

2.In optical fibers, group delay can affect the quality of data transmission over long distances.

在光纤中,群延迟会影响长距离数据传输的质量。

3.A high group delay can lead to distortion in the received signal.

群延迟可能导致接收信号的失真。

4.The group delay of the signal was measured to ensure it met the design specifications.

为了确保信号符合设计规范,测量了信号的群延迟

5.Engineers often analyze group delay when designing filters for audio applications.

工程师在为音频应用设计滤波器时,通常会分析群延迟

作文

In the field of signal processing and telecommunications, the concept of group delay plays a crucial role in understanding how signals propagate through various media. Group delay refers to the time delay experienced by the envelope of a modulated signal as it travels through a system. This is particularly important when dealing with complex signals that contain multiple frequency components, as different frequencies can experience different delays, leading to distortion. To better understand group delay, we can consider a simple example involving a radio signal. When a radio station transmits a signal, it often encompasses a range of frequencies. If the transmission medium—such as air or fiber optic cable—has a varying speed of propagation for these different frequencies, the result can be a phenomenon known as dispersion. Dispersion causes certain frequencies to arrive at the receiver at different times, which can distort the original message. The group delay quantifies this effect by measuring the delay of the signal's envelope, which is critical for ensuring that the intended information is received accurately.Mathematically, group delay is defined as the derivative of the phase response of a system with respect to angular frequency. In simpler terms, it tells us how much the phase of the signal changes with frequency. This relationship is essential for engineers and scientists who design communication systems, as they must account for the group delay to minimize distortion and ensure high fidelity in signal transmission.Moreover, the implications of group delay extend beyond telecommunications. In audio processing, for instance, understanding group delay is vital when mixing sounds from different sources. If two audio tracks have differing group delays, they may not align perfectly when played together, potentially resulting in a less harmonious sound. Thus, sound engineers often use tools to measure and adjust the group delay of various audio components to achieve a balanced mix.In optical systems, group delay is also significant. For example, in fiber optics, different wavelengths of light may travel at different speeds due to the material properties of the fiber. This variation can lead to pulse broadening, where a short pulse of light spreads out over time, causing potential issues in data transmission. By analyzing the group delay of different wavelengths, engineers can optimize the design of optical fibers to reduce such effects and enhance overall performance.In conclusion, the concept of group delay is fundamental in various fields, including telecommunications, audio engineering, and optics. Understanding how group delay affects signal propagation allows professionals to design systems that minimize distortion and ensure accurate transmission of information. As technology continues to evolve, the importance of mastering concepts like group delay will only increase, highlighting the need for ongoing education and research in this area.

在信号处理和电信领域,群延迟的概念在理解信号如何通过各种介质传播方面起着至关重要的作用。群延迟指的是调制信号的包络在通过系统时所经历的时间延迟。当处理包含多个频率分量的复杂信号时,这一点尤为重要,因为不同的频率可能会经历不同的延迟,从而导致失真。为了更好地理解群延迟,我们可以考虑一个涉及无线电信号的简单例子。当一个无线电台发射信号时,它通常包含一系列频率。如果传输介质(例如空气或光纤电缆)对这些不同频率的传播速度存在差异,结果可能会出现称为色散的现象。色散使得某些频率在接收器处到达的时间不同,这可能会扭曲原始信息。群延迟通过测量信号包络的延迟来量化这种效应,这对于确保接收到的信息准确无误至关重要。从数学上讲,群延迟被定义为系统相位响应对角频率的导数。简单来说,它告诉我们信号的相位如何随频率变化。这种关系对于设计通信系统的工程师和科学家至关重要,因为他们必须考虑群延迟以最小化失真,确保信号传输的高保真度。此外,群延迟的影响超出了电信领域。在音频处理中,理解群延迟在混合来自不同来源的声音时至关重要。如果两条音轨具有不同的群延迟,那么它们在一起播放时可能不会完美对齐,从而产生不太和谐的声音。因此,音响工程师经常使用工具来测量和调整各种音频组件的群延迟,以实现平衡的混音。在光学系统中,群延迟同样重要。例如,在光纤中,由于光纤材料的特性,不同波长的光可能以不同的速度传播。这种变化可能导致脉冲展宽,即一束短光脉冲随时间扩展,造成数据传输中的潜在问题。通过分析不同波长的群延迟,工程师可以优化光纤的设计,以减少此类影响并增强整体性能。总之,群延迟的概念在电信、音频工程和光学等各个领域都是基础性的。理解群延迟如何影响信号传播使专业人员能够设计出最小化失真并确保信息准确传输的系统。随着技术的不断发展,掌握像群延迟这样的概念的重要性只会增加,这突显了在这一领域持续教育和研究的必要性。