orthogonal signals

简明释义

正交信号

英英释义

Orthogonal signals refer to a set of signals that are statistically independent from one another, meaning that the inner product (or dot product) of any two distinct signals is zero.

正交信号是指一组彼此统计独立的信号,这意味着任何两个不同信号的内积(或点积)为零。

In communication systems, orthogonal signals allow for the efficient use of bandwidth, as multiple signals can be transmitted simultaneously without interference.

在通信系统中,正交信号允许有效利用带宽,因为多个信号可以同时传输而不产生干扰。

例句

1.The Fourier transform can decompose a signal into orthogonal signals 正交信号, simplifying analysis and processing.

傅里叶变换可以将信号分解为正交信号 orthogonal signals,从而简化分析和处理。

2.In digital communications, the use of orthogonal signals 正交信号 allows multiple users to transmit data simultaneously without interference.

在数字通信中,使用正交信号 orthogonal signals 允许多个用户同时传输数据而不产生干扰。

3.In audio processing, orthogonal signals 正交信号 can be used to separate different sound sources effectively.

在音频处理中,正交信号 orthogonal signals 可以有效地分离不同的声音源。

4.In a MIMO system, orthogonal signals 正交信号 help maximize channel capacity by allowing multiple data streams.

在MIMO系统中,正交信号 orthogonal signals 通过允许多个数据流来最大化信道容量。

5.The concept of orthogonal signals 正交信号 is crucial in designing efficient coding schemes for wireless networks.

在无线网络设计高效编码方案时,正交信号 orthogonal signals 的概念至关重要。

作文

In the field of signal processing and communications, the concept of orthogonal signals plays a crucial role in ensuring efficient data transmission. To understand this concept better, we must first explore what orthogonality means in a mathematical context. In simple terms, two signals are considered orthogonal if their inner product is zero. This implies that the signals do not interfere with each other, allowing them to coexist without any degradation in performance. The significance of orthogonal signals becomes evident when we consider their applications in various technologies, such as wireless communication, audio processing, and even quantum computing.One of the most common examples of orthogonal signals can be found in the realm of wireless communications. Modern communication systems often utilize multiple access techniques to allow several users to share the same frequency band. One such technique is Orthogonal Frequency Division Multiplexing (OFDM), which employs orthogonal signals to maximize the use of available bandwidth while minimizing interference. In OFDM, data is transmitted over multiple closely spaced frequencies, all of which are orthogonal to one another. This orthogonality ensures that the signals can be separated at the receiver's end without any loss of information, thus enhancing the overall efficiency of the communication system.Another area where orthogonal signals are essential is in audio processing. When mixing different audio tracks, sound engineers often rely on the principle of orthogonality to ensure that each track maintains its clarity and quality. By utilizing orthogonal signals, engineers can layer multiple sounds without them clashing or creating undesirable noise. This is particularly important in music production, where the goal is to create a harmonious blend of various instruments and vocals. The ability to isolate and manipulate these orthogonal signals allows for greater creative freedom and precision in the final output.Moreover, the concept of orthogonal signals extends beyond traditional signal processing into the realm of quantum computing. Quantum bits, or qubits, can exist in multiple states simultaneously, and their interactions can be described using orthogonal states. This orthogonality is fundamental to many quantum algorithms, enabling them to perform complex calculations more efficiently than classical computers. As researchers continue to explore the potential of quantum technologies, the understanding of orthogonal signals will undoubtedly play a pivotal role in advancing this field.In conclusion, the importance of orthogonal signals cannot be overstated. From improving the efficiency of communication systems to enhancing audio production and enabling breakthroughs in quantum computing, the concept of orthogonality is a cornerstone of modern technology. As we continue to innovate and develop new solutions to complex problems, a deeper understanding of orthogonal signals will be essential for engineers, scientists, and technologists alike. By embracing this concept, we can unlock new potential in various fields and pave the way for future advancements in technology.

在信号处理和通信领域,正交信号的概念在确保高效数据传输方面发挥着至关重要的作用。要更好地理解这一概念,我们首先必须探索正交性在数学上下的意思。简单来说,如果两个信号的内积为零,则认为它们是正交的。这意味着信号不会相互干扰,从而允许它们共存而不降低性能。当我们考虑其在各种技术中的应用时,正交信号的重要性变得显而易见,例如无线通信、音频处理甚至量子计算。在无线通信领域,正交信号的一个常见例子可以找到。现代通信系统通常利用多路访问技术,允许多个用户共享同一频带。其中一种技术是正交频分复用(OFDM),它利用正交信号最大限度地利用可用带宽,同时最小化干扰。在OFDM中,数据通过多个紧密间隔的频率传输,这些频率彼此正交。这种正交性确保信号能够在接收端被分离,而不会丢失信息,从而提高了通信系统的整体效率。正交信号在音频处理中也是至关重要的。当混合不同的音轨时,声音工程师通常依赖正交性的原则,以确保每个音轨保持其清晰度和质量。通过利用正交信号,工程师可以叠加多个声音,而不会发生冲突或产生不必要的噪音。这在音乐制作中尤为重要,其目标是创造出各种乐器和人声的和谐融合。隔离和操纵这些正交信号的能力使最终输出在创造性自由和精确度上有了更大的提升。此外,正交信号的概念超越了传统信号处理,进入量子计算的领域。量子比特或量子位可以同时存在于多个状态中,它们的相互作用可以用正交状态来描述。这种正交性是许多量子算法的基础,使它们能够比经典计算机更有效地执行复杂计算。随着研究人员继续探索量子技术的潜力,对正交信号的理解无疑将在推动该领域的进展中发挥关键作用。总之,正交信号的重要性不容小觑。从提高通信系统的效率到增强音频制作,再到在量子计算中实现突破,正交性的概念是现代技术的基石。随着我们继续创新和开发解决复杂问题的新方案,更深入地理解正交信号将对工程师、科学家和技术人员至关重要。通过拥抱这一概念,我们可以在各个领域释放新的潜力,为未来技术的进步铺平道路。

相关单词

orthogonal

orthogonal详解:怎么读、什么意思、用法

signals

signals详解:怎么读、什么意思、用法