signal space

简明释义

信号空间

英英释义

A signal space is a mathematical construct that represents all possible signals that can be generated or transmitted in a communication system, typically defined in terms of vectors in a vector space.

信号空间是一个数学构造,表示在通信系统中可以生成或传输的所有可能信号,通常通过向量空间中的向量来定义。

例句

1.When designing a communication system, engineers must carefully analyze the signal space to optimize performance.

在设计通信系统时,工程师必须仔细分析信号空间以优化性能。

2.The dimensionality of the signal space affects the capacity of the communication channel.

信号空间的维度影响通信信道的容量。

3.The signal space can be visualized as a multi-dimensional space where each axis represents a different signal parameter.

信号空间可以被视为一个多维空间,其中每个轴代表一个不同的信号参数。

4.In telecommunications, the concept of signal space is crucial for understanding how different signals can coexist without interference.

在电信中,信号空间的概念对于理解不同信号如何共存而不干扰至关重要。

5.In digital signal processing, we often transform signals into their respective signal spaces for analysis.

在数字信号处理中,我们经常将信号转换为各自的信号空间以进行分析。

作文

In the realm of telecommunications and signal processing, the concept of signal space plays a crucial role in understanding how information is transmitted and received. The term signal space refers to the mathematical representation of all possible signals that can be transmitted over a communication channel. This representation allows engineers and researchers to analyze the characteristics of different signals, optimize their transmission, and improve the overall efficiency of communication systems.To comprehend the significance of signal space, it is essential to recognize its relationship with various types of signals. For instance, in digital communication, signals are often represented as sequences of bits. Each unique sequence corresponds to a point in the signal space, which can be visualized as a multi-dimensional geometric space where each dimension represents a different parameter of the signal, such as amplitude, frequency, or phase.One of the fundamental aspects of signal space is the concept of orthogonality. In many communication systems, signals are designed to be orthogonal to one another, meaning that they do not interfere with each other when transmitted simultaneously. This property allows multiple signals to occupy the same signal space without causing distortion or loss of information. For example, in Orthogonal Frequency Division Multiplexing (OFDM), different sub-carriers are used to transmit data in parallel, each occupying its own orthogonal position in the signal space.Moreover, the dimensionality of signal space can significantly impact the performance of a communication system. Higher-dimensional signal spaces can accommodate more complex signals, allowing for higher data rates and improved error performance. However, increasing the dimensions also introduces challenges related to signal detection and processing, as the complexity of algorithms required to manage these higher dimensions grows.The concept of signal space is not limited to digital signals; it also applies to analog signals. In analog communication systems, signals can be represented as continuous waveforms, and the signal space encompasses all possible waveforms that can be generated within certain constraints. Understanding the signal space of analog signals is vital for designing efficient modulation schemes and ensuring reliable transmission over various channels.In conclusion, the signal space serves as a foundational framework in the field of telecommunications and signal processing. By providing a structured way to represent and analyze signals, it enables engineers to design systems that can effectively transmit information while minimizing interference and maximizing efficiency. As technology continues to advance, the importance of understanding signal space will only grow, paving the way for more sophisticated communication systems that can meet the demands of an increasingly connected world.

在电信和信号处理领域,信号空间的概念在理解信息如何传输和接收方面起着至关重要的作用。术语信号空间指的是可以通过通信信道传输的所有可能信号的数学表示。这种表示使工程师和研究人员能够分析不同信号的特性,优化其传输,并提高通信系统的整体效率。要理解信号空间的重要性,有必要认识到它与各种类型信号的关系。例如,在数字通信中,信号通常表示为比特序列。每个唯一的序列对应于信号空间中的一个点,这可以被视为一个多维几何空间,其中每个维度代表信号的不同参数,如幅度、频率或相位。信号空间的一个基本方面是正交性的概念。在许多通信系统中,信号被设计为彼此正交,这意味着它们在同时传输时不会相互干扰。这一特性允许多个信号占用同一信号空间而不造成失真或信息丢失。例如,在正交频分复用(OFDM)中,不同的子载波用于并行传输数据,每个子载波占据其在信号空间中的正交位置。此外,信号空间的维数会显著影响通信系统的性能。更高维度的信号空间可以容纳更复杂的信号,从而允许更高的数据速率和更好的误差性能。然而,增加维度也带来了与信号检测和处理相关的挑战,因为管理这些更高维度所需的算法复杂性增加。信号空间的概念不仅限于数字信号;它也适用于模拟信号。在模拟通信系统中,信号可以表示为连续波形,信号空间包含在某些约束条件下可以生成的所有可能波形。理解模拟信号的信号空间对设计高效的调制方案和确保在各种信道上可靠传输至关重要。总之,信号空间作为电信和信号处理领域的基础框架,通过提供一种结构化的方式来表示和分析信号,使工程师能够设计出能有效传输信息,同时最小化干扰和最大化效率的系统。随着技术的不断进步,理解信号空间的重要性将日益增长,为能够满足日益互联世界需求的更复杂的通信系统铺平道路。

相关单词

signal

signal详解:怎么读、什么意思、用法

space

space详解:怎么读、什么意思、用法