band limited

简明释义

带限;

英英释义

例句

1.To avoid aliasing, the sampling rate must be higher than twice the highest frequency of the band limited signal.

为了避免混叠，采样率必须高于带限信号最高频率的两倍。

2.The filter ensures that only band limited signals pass through its output.

该滤波器确保只有带限信号通过其输出。

3.The audio signal was processed to be band limited so that it only contains frequencies between 20 Hz and 20 kHz.

音频信号经过处理，变为带限，因此它只包含20 Hz到20 kHz之间的频率。

4.The system is designed to handle band limited inputs for better performance.

该系统设计为处理带限输入，以提高性能。

5.In digital communication, we often use band limited signals to reduce interference.

在数字通信中，我们经常使用带限信号来减少干扰。

作文

In the field of signal processing, the term band limited refers to a signal that contains no frequencies higher than a specified maximum frequency. This concept is crucial in various applications, including telecommunications, audio processing, and image compression. Understanding band limited signals allows engineers and researchers to design systems that effectively transmit and process information without losing important details.To illustrate the significance of band limited signals, consider the example of audio signals. When we record sound, we capture a range of frequencies produced by musical instruments, voices, and environmental noises. However, not all frequencies are essential for human hearing. In fact, the average human ear can detect sounds ranging from about 20 Hz to 20 kHz. Therefore, when we digitize audio, we can apply a filter to remove frequencies above 20 kHz, resulting in a band limited signal. This process reduces the amount of data we need to store and transmit while retaining the quality of sound that is perceptible to listeners.Moreover, band limited signals play a vital role in the Nyquist-Shannon sampling theorem, which states that in order to accurately reconstruct a signal, it must be sampled at a rate greater than twice its highest frequency. By ensuring that a signal is band limited, we can avoid aliasing, a phenomenon where higher frequencies are misrepresented as lower frequencies in the sampled signal. This principle is foundational in digital signal processing, allowing for the accurate representation of analog signals in a digital format.In the realm of telecommunications, band limited channels are essential for efficient data transmission. Communication systems often operate within specific frequency ranges to avoid interference with other signals. By designing band limited channels, engineers can optimize the bandwidth usage, allowing multiple signals to coexist without degradation in quality. For instance, in mobile networks, different frequencies are allocated to various users, ensuring that each user experiences a clear and uninterrupted connection.Furthermore, the concept of band limited signals extends beyond audio and telecommunications into image processing. When dealing with images, the spatial frequency of the image content is critical. High-frequency components in an image correspond to sharp edges and fine details, while low-frequency components represent smooth areas and gradual changes. By applying techniques such as low-pass filtering, we can create band limited versions of images that maintain essential visual information while reducing file size for storage and transmission.In conclusion, the understanding of band limited signals is fundamental across various domains of technology and engineering. It enables the effective management of data, ensures high-quality signal transmission, and facilitates the development of efficient communication systems. As technology continues to advance, the principles surrounding band limited signals will remain integral to innovations in signal processing, telecommunications, and multimedia applications. By mastering this concept, professionals can contribute to the ongoing evolution of these fields, ensuring that we continue to communicate and share information seamlessly in our increasingly digital world.

在信号处理领域，术语带限指的是一种信号，它不包含高于指定最大频率的频率。这个概念在电信、音频处理和图像压缩等各种应用中至关重要。理解带限信号使工程师和研究人员能够设计有效传输和处理信息的系统，而不会丢失重要细节。为了说明带限信号的重要性，考虑音频信号的例子。当我们录制声音时，我们捕捉到乐器、声音和环境噪声产生的一系列频率。然而，并不是所有频率对于人类听觉都是必要的。实际上，平均人耳可以检测的声音范围大约是20赫兹到20千赫兹。因此，当我们对音频进行数字化时，可以应用滤波器去除超过20千赫兹的频率，从而得到一个带限信号。这个过程减少了我们需要存储和传输的数据量，同时保留了听众可感知的声音质量。此外，带限信号在奈奎斯特-香农采样定理中扮演着重要角色，该定理指出，为了准确重建信号，必须以高于其最高频率两倍的速率进行采样。通过确保信号是带限的，我们可以避免混叠现象，即在采样信号中高频率被错误地表示为低频率。这一原理是数字信号处理的基础，使模拟信号能够在数字格式中准确表示。在电信领域，带限信道对高效数据传输至关重要。通信系统通常在特定频率范围内运行，以避免与其他信号的干扰。通过设计带限信道，工程师可以优化带宽使用，允许多个信号共存而不会降低质量。例如，在移动网络中，不同的频率分配给不同的用户，确保每个用户都能体验到清晰和不间断的连接。此外，带限信号的概念不仅限于音频和电信，还扩展到图像处理。当处理图像时，图像内容的空间频率至关重要。图像中的高频成分对应于锐利的边缘和细节，而低频成分则代表平滑区域和渐变变化。通过应用低通滤波等技术，我们可以创建带限版本的图像，这些图像在减少存储和传输文件大小的同时保持了重要的视觉信息。总之，理解带限信号在各个技术和工程领域都是基础。它使数据的有效管理成为可能，确保高质量的信号传输，并促进高效通信系统的发展。随着技术的不断进步，围绕带限信号的原则将继续在信号处理、电信和多媒体应用的创新中发挥重要作用。通过掌握这一概念，专业人士可以为这些领域的持续发展做出贡献，确保我们在日益数字化的世界中无缝沟通和共享信息。