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# 电子工程代写|数字系统设计代写Digital System Design代考|ECE4110 Analog and Discrete Variables

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## 电子工程代写|数字系统设计代写Digital System Design代考|Analog and Discrete Variables

In every field of human knowledge, information’s observation, memorization, elaboration, and communication is something everyone has to deal with. The definition of the word “information” may sound obvious, since this term is commonly used in everyday language, but for our aim we need a definition that leaves no space to any ambiguous interpretation. We hence refer to R. V. L. Hartley (1888-1970), one of the fathers of Information Theory, who helps us with the following definition:
Information is a reduction of uncertainty.
From this sentence, it is clear that information is associated with “before” and “after,” in relation to an event having a probability to happen; thanks to this probability, an observer reduces his uncertainty related to the event itself. From this definition, it can be easily derived that information can be conveyed through the employment of physical quantities variables, changing in time or space. For example, we can refer to information transmitted by a computer screen through images, defined as variations of luminosity and color in time and space, or the information transmitted by an earphone, through a sound, defined as variations of air pressure over time.
To the aim of studying information processing, we will not refer directly to a physical quantity variable, but rather to its numeric representation, indicated with ” $G$,” and its variation over time, indicated with ” $T$,”

This approach allows us to divide the representation into two families: if $G$ can vary continuously between a value and another one, assuming all the infinite intermediate values, we are employing an “analog” representation. If, instead, $G$ can assume only a limited number of values, we are employing a “discrete” (or “digital”) representation, becoming “binary” (or “Boolean”) if the numbering system uses only two symbols.
Sometimes, the distinction between a physical quantity variable and its numeric representation may create confusion, but we are interested only in the latter. Light, for example, may be described both through a discrete representation (photons) and a continuous one (electromagnetic waves), but identifying the “true” representation, if it exists, is beyond our scope: we gladly leave this objective to philosophers. For an engineer, what matters is using the most appropriate tool to solve the problem under analysis.

## 电子工程代写|数字系统设计代写Digital System Design代考|Boolean Variables

Let $X$ be a certain discreet variable. We will call Boolean variable any discreet variable that can assume only two values. These values are denoted as follows:
$$\begin{array}{lc} X=0 & \text { false } \ X=1 & \text { true } \end{array}$$

In the following, the values 0,1 will be used.

## 电子工程代写|数字系统设计代写Digital System Design代考|Boolean Variables

. Boolean变量 . Boolean

$$\begin{array}{lc} X=0 & \text { false } \ X=1 & \text { true } \end{array}$$

## Matlab代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。