band-limited signal

简明释义

带限信号;

英英释义

例句

1.When designing filters, engineers often aim to create a band-limited signal 带限信号 to minimize noise.

在设计滤波器时，工程师通常旨在创建一个< span >带限信号以最小化噪声。

2.In digital communication systems, a band-limited signal 带限信号 is essential to avoid interference between channels.

在数字通信系统中，带限信号 是避免信道之间干扰的关键。

3.A band-limited signal 带限信号 can be transmitted over a channel without distortion if the bandwidth is properly managed.

如果带宽管理得当，带限信号可以无失真地通过信道传输。

4.The process of sampling a band-limited signal 带限信号 ensures that we can reconstruct it accurately without losing information.

对< span >带限信号进行采样的过程确保我们能够准确重构它而不丢失信息。

5.In audio processing, a band-limited signal 带限信号 helps in reducing high-frequency noise.

在音频处理中，带限信号有助于减少高频噪声。

作文

In the field of signal processing, the concept of a band-limited signal is fundamental to understanding how signals can be transmitted and processed efficiently. A band-limited signal is defined as a signal that contains no frequency components higher than a certain maximum frequency, known as the bandwidth. This characteristic is crucial because it allows for the effective sampling and reconstruction of the signal without losing essential information. The Nyquist-Shannon sampling theorem states that a signal can be perfectly reconstructed from its samples if it is sampled at a rate greater than twice its highest frequency component. Thus, understanding band-limited signals is essential for engineers and scientists working in telecommunications, audio processing, and many other fields.To illustrate the importance of band-limited signals, consider the example of audio signals. When we record music or speech, we are capturing sound waves that vary over time. These sound waves can be decomposed into their frequency components using techniques such as the Fourier transform. Most natural sounds have a limited range of frequencies; for instance, human speech typically ranges from about 300 Hz to 3400 Hz. Therefore, this audio signal can be considered band-limited, as it does not contain frequencies outside this range. By recognizing this property, audio engineers can choose appropriate sampling rates to digitize the sound without introducing artifacts or losing quality.Moreover, the concept of band-limited signals is not only applicable to audio but also to images and video. In digital image processing, images are often represented as a matrix of pixel values. The spatial frequencies of an image correspond to the variations in pixel intensity. A band-limited image would be one where the variations do not exceed a certain frequency, allowing for efficient compression and transmission. Techniques such as JPEG compression exploit the principles of band-limited signals by removing high-frequency components that are less perceptible to the human eye, thereby reducing file sizes without significantly impacting visual quality.In practical applications, the design of filters is heavily influenced by the concept of band-limited signals. Filters can be used to isolate specific frequency ranges, allowing engineers to focus on the desired signals while eliminating noise or unwanted components. For instance, in radio communication, a band-limited signal can be transmitted over a channel with minimal interference, ensuring clear reception at the other end. By designing filters that match the bandwidth of the desired signal, engineers can significantly enhance the quality of communication systems.In conclusion, the understanding of band-limited signals is vital across various domains, including audio, image processing, and telecommunications. Recognizing the limitations and characteristics of these signals enables professionals to develop more efficient systems for capturing, transmitting, and reconstructing data. As technology continues to advance, the principles surrounding band-limited signals will remain integral to innovations in signal processing and communication technologies.

在信号处理领域，带限信号的概念对于理解信号如何高效地传输和处理是至关重要的。带限信号被定义为不包含高于某一最大频率（称为带宽）的频率成分的信号。这一特性至关重要，因为它允许有效地对信号进行采样和重构，而不会丢失重要信息。奈奎斯特-香农采样定理指出，如果信号的采样率超过其最高频率成分的两倍，则可以完美重构信号。因此，理解带限信号对于从事电信、音频处理以及许多其他领域的工程师和科学家至关重要。为了说明带限信号的重要性，可以考虑音频信号的例子。当我们录制音乐或语音时，我们捕捉的是随时间变化的声波。这些声波可以通过傅里叶变换等技术分解为其频率成分。大多数自然声音具有有限的频率范围；例如，人类语音通常在约300 Hz到3400 Hz之间。因此，这种音频信号可以被视为带限，因为它不包含该范围之外的频率。通过认识到这一特性，音频工程师可以选择适当的采样率对声音进行数字化，而不会引入伪影或失去质量。此外，带限信号的概念不仅适用于音频，还适用于图像和视频。在数字图像处理中，图像通常表示为像素值的矩阵。图像的空间频率对应于像素强度的变化。带限图像是指其变化不超过某一频率的图像，这使得高效的压缩和传输成为可能。JPEG压缩等技术利用带限信号的原理，通过去除人眼不太敏感的高频成分来减少文件大小，而不会显著影响视觉质量。在实际应用中，滤波器的设计受到带限信号概念的重大影响。滤波器可用于隔离特定频率范围，使工程师能够专注于所需信号，同时消除噪声或不必要的成分。例如，在无线通信中，带限信号可以在通道上以最小干扰进行传输，从而确保在另一端清晰接收。通过设计与所需信号带宽匹配的滤波器，工程师可以显著提高通信系统的质量。总之，理解带限信号在音频、图像处理和电信等多个领域至关重要。认识到这些信号的局限性和特性使专业人士能够开发出更高效的系统，以捕获、传输和重构数据。随着技术的不断进步，围绕带限信号的原理将继续在信号处理和通信技术的创新中发挥重要作用。