binary symmetric channel

简明释义

二进制对称信道

英英释义

例句

1.Theoretical studies often simplify scenarios by assuming a binary symmetric channel 二进制对称信道 for ease of analysis.

理论研究通常通过假设存在二进制对称信道 binary symmetric channel 来简化场景，以便于分析。

2.When designing a communication system, one must consider the characteristics of a binary symmetric channel 二进制对称信道 to optimize data integrity.

在设计通信系统时，必须考虑二进制对称信道 binary symmetric channel 的特性，以优化数据完整性。

3.In a binary symmetric channel 二进制对称信道, each bit transmitted has a certain probability of being flipped due to noise.

在二进制对称信道 binary symmetric channel 中，每个传输的比特都有一定的概率因噪声而被翻转。

4.The performance of error-correcting codes can be evaluated using a binary symmetric channel 二进制对称信道 as a testbed.

可以使用二进制对称信道 binary symmetric channel 作为测试平台来评估纠错码的性能。

5.In digital communication systems, a binary symmetric channel 二进制对称信道 is often used to model the effects of noise on data transmission.

在数字通信系统中，二进制对称信道 binary symmetric channel 常用于模拟噪声对数据传输的影响。

作文

In the field of information theory and communication systems, understanding the concept of a binary symmetric channel is crucial. A binary symmetric channel refers to a communication model where the transmitted data can be either a '0' or a '1', and there is a certain probability that these bits may be flipped during transmission. This means that if a '0' is sent, there is a chance it will be received as a '1', and vice versa. The simplicity of this model makes it an essential building block for studying more complex communication systems.The significance of the binary symmetric channel lies in its ability to represent real-world scenarios where noise interferes with transmitted signals. For example, consider a scenario where two friends are communicating over a noisy phone line. Each time one friend speaks, their message is converted into binary data, which is then transmitted. However, due to the noise on the line, some bits may be altered, leading to misunderstandings. The binary symmetric channel captures this phenomenon by allowing us to quantify the likelihood of errors occurring during transmission.Mathematically, the binary symmetric channel is characterized by two parameters: the probability of transmitting a bit correctly (denoted as 'p') and the probability of it being flipped (denoted as 'q'). Since these probabilities must sum to one, we have q = 1 - p. For instance, if the probability of correctly receiving a bit is 0.9, then the probability of it being flipped is 0.1. This simple relationship allows researchers and engineers to analyze the reliability of communication systems and devise strategies to improve them.One of the most important concepts related to the binary symmetric channel is the idea of error correction. In practical applications, it is essential to ensure that the received messages are as accurate as possible. To achieve this, various error-correcting codes can be employed. These codes add redundancy to the transmitted data, enabling the receiver to detect and correct errors that may have occurred during transmission. For instance, if a message is sent using a simple error-correcting code, the receiver can identify if a bit has been flipped and restore the original message.Moreover, the binary symmetric channel serves as a foundational model for understanding more complex channels in information theory. By studying this basic model, researchers can develop insights into how noise affects communication systems, leading to the development of more sophisticated models that take into account multiple signal states or varying noise levels.In conclusion, the binary symmetric channel is a fundamental concept in the realm of communication theory. It provides a simplified yet powerful framework for analyzing the effects of noise on binary data transmission. By understanding the characteristics and implications of a binary symmetric channel, engineers and researchers can design more robust communication systems that minimize errors and enhance the reliability of data transmission. As technology continues to evolve, the principles derived from studying the binary symmetric channel will remain relevant in developing innovative solutions for modern communication challenges.

在信息理论和通信系统领域，理解二进制对称信道的概念至关重要。二进制对称信道指的是一种通信模型，其中传输的数据可以是“0”或“1”，并且在传输过程中，这些位可能会以一定的概率被翻转。这意味着如果发送了一个“0”，就有可能被接收为“1”，反之亦然。这个模型的简单性使其成为研究更复杂通信系统的重要基础。二进制对称信道的意义在于它能够表示现实场景中噪声干扰传输信号的情况。例如，考虑两个朋友通过嘈杂的电话线路进行交流的场景。当一个朋友说话时，他们的信息被转换为二进制数据，然后传输。然而，由于线路上的噪声，一些位可能会被改变，从而导致误解。二进制对称信道通过允许我们量化传输过程中发生错误的可能性来捕捉这种现象。在数学上，二进制对称信道由两个参数表征：正确传输一个位的概率（记作'p'）和它被翻转的概率（记作'q'）。由于这些概率的总和必须为一，因此我们有q = 1 - p。例如，如果正确接收一个位的概率为0.9，那么它被翻转的概率就是0.1。这个简单的关系使研究人员和工程师能够分析通信系统的可靠性，并制定改进策略。与二进制对称信道相关的一个重要概念是错误更正的思想。在实际应用中，确保接收到的信息尽可能准确至关重要。为了实现这一目标，可以采用各种纠错编码。这些编码为传输的数据增加冗余，使接收者能够检测和纠正传输过程中可能发生的错误。例如，如果使用简单的纠错编码发送消息，接收者可以识别出某个位是否已被翻转并恢复原始消息。此外，二进制对称信道作为理解信息理论中更复杂信道的基础模型。通过研究这个基本模型，研究人员可以深入了解噪声如何影响通信系统，从而开发出更复杂的模型，考虑多个信号状态或不同噪声水平。总之，二进制对称信道是通信理论领域的基本概念。它提供了一个简化而强大的框架，用于分析噪声对二进制数据传输的影响。通过理解二进制对称信道的特征和影响，工程师和研究人员可以设计出更稳健的通信系统，最小化错误并增强数据传输的可靠性。随着技术的不断发展，从研究二进制对称信道中得出的原则将在现代通信挑战的创新解决方案开发中继续保持相关性。