## 电子工程代写|数字系统设计作业代写Digital System Design代考|EE301

statistics-lab™ 为您的留学生涯保驾护航 在代写数字系统设计Digital System Design方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写数字系统设计Digital System Design方面经验极为丰富，各种代写数字系统设计Digital System Design相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 电子工程代写|数字系统设计作业代写Digital System Design代考|POWER SIGNALS

The average power of a discrete time signal that is defined over the range $N_{1} \leq$ $n \leq N_{2}$ is defined as
$$P_{x}=\frac{1}{N_{2}-N_{1}+1} \sum_{n=N_{1}}^{N_{2}}|x(n)|^{2} .$$
Generally, if $N_{1} \rightarrow-\infty$ and/or $N_{2} \rightarrow \infty$, then
$$P_{x}=\lim {\substack{N{1} \rightarrow-\infty \ N_{2} \rightarrow \infty}} \frac{1}{N_{2}-N_{1}+1} \sum_{n=N_{1}}^{N_{2}}|x(n)|^{2} .$$
Note that the average power of a discrete time signal with infinite energy may be finite. Thus, while the energy of a discrete time signal, as defined in Eq. (2.37) may be infinite, the average power as defined in Eq. (2.42) may be finite. The definition of the average power applies to both real and complex signals because Eq. (2.42) uses the squared magnitude of $x(n)$ in the computation.

## 电子工程代写|数字系统设计作业代写Digital System Design代考|PERIODIC AND APERIODIC SIGNALS

A discrete time signal is periodic, with period $N$, if and only if [4]
$$x(n+N)=x(n) \quad \forall-\infty \leq n \leq \infty .$$
The smallest value of $N$ for which Eq. (2.43) holds is called the fundamental period. The signal is aperiodic if there is no value of $N$ which satisfies Eq. (2.43).
Observe that discrete time sinusoidal signals of the form
$$x(n)=A \sin \left(2 \pi f_{0} n\right)$$
are periodic if $f_{0}$ is a rational number that can be expressed as
$$f_{0}=\frac{k}{N}$$
whers both $k$ and $N$ are integers. If $f_{0}$ as given in Eq. (2.44) is not a rational number, then the corresponding sinusoidal signal is aperiodic.

The power of a periodic signal, with fundamental period $N$, can be computed as
$$P=\frac{1}{N} \sum_{n=0}^{N-1}|x(n)|^{2},$$
provided $x(n)$ is finite over the period $0 \leq n \leq N-1$. Alternatively, the energy of a periodic signal with infinite extent, is infinite because it has finite power over each period and its extent is infinite. Consequently, periodic signals are power signals [4].

## 电子工程代写|数字系统设计作业代写Digital System Design代考|POWER SIGNALS

$$P_{x}=\frac{1}{N_{2}-N_{1}+1} \sum_{n=N_{1}}^{N_{2}}|x(n)|^{2} .$$

$$P_{x}=\lim {N 1 \rightarrow-\infty} N{2} \rightarrow \infty \frac{1}{N_{2}-N_{1}+1} \sum_{n=N_{1}}^{N_{2}}|x(n)|^{2} .$$

## 电子工程代写|数字系统设计作业代写Digital System Design代考|PERIODIC AND APERIODIC SIGNALS

$$x(n+N)=x(n) \quad \forall-\infty \leq n \leq \infty .$$

$$x(n)=A \sin \left(2 \pi f_{0} n\right)$$

$$f_{0}=\frac{k}{N}$$

$$P=\frac{1}{N} \sum_{n=0}^{N-1}|x(n)|^{2},$$

## 广义线性模型代考

statistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## 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。

## 电子工程代写|数字系统设计作业代写Digital System Design代考|ELEC2311

statistics-lab™ 为您的留学生涯保驾护航 在代写数字系统设计Digital System Design方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写数字系统设计Digital System Design方面经验极为丰富，各种代写数字系统设计Digital System Design相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 电子工程代写|数字系统设计作业代写Digital System Design代考|REPRESENTING DISCRETE TIME SIGNALS

It is convenient to represent the values of the independent variable, for a discrete time signal, in terms of integer multiples of the sampling interval. For example, the sampling interval for a speech signal sampled at 8000 samples per second would be $T=125 \mu$. If the first sample occurs at time $t=0$, the second at $t=T$, the third at $2 T$, etc., then the time of each sample can be determined from its index $n$. The first sample occurs at $n=0$, the second sample at $n=T$, the third sample at $n=2 T$, etc. Thus, it is convenient to represent the value of the independent variable using the sampling interval, $T$, along with the index for the sample, $n$. For example, if a continuous time signal $x(t)$ was sampled using a sampling interval $T$, then the individual samples can be represented as $x(n T)$. This notation is typically shortened to the form $x(n)$ when the sampling is performed at regular intervals. The independent variable is therefore represented as the variable $n$ using this convention. This representation implies a normalization of the sampling interval to $T=1$ units. The impact of this normalization will be discussed later in this chapter.

There are several ways to represent a discrete time signal. Some of these ways are given below:

1. A table as given in Table $2.1$ and shown in Fig. 2.1,
2. A functional representation as given in Eq. (2.1) and also shown in Fig. 2.2,
$$x(n)=\left{\begin{array}{lll} 0 & \text { for } n<0 \\ (0.6)^{n} & \text { for } \quad 0 \leq n \leq 10 \\ 0 & \text { for } & n>10 \end{array}\right.$$
3. A sequence representation as given in Eq. (2.2) and shown in Fig. 2.3,
$$x(n)={-2,-1,1,5,3,-1,-3}$$
The up-arrow ( $\uparrow$ ) in Eq. (2.2) indicates the sample for $n=0$.

## 电子工程代写|数字系统设计作业代写Digital System Design代考|EVEN AND ODD SIGNALS

A signal is even if
$$x(-n)=x(n) .$$
Even signals are symmetric with respect to the origin $(n=0)$. The signal
$$s(n)=2 \cos (0.279 n)+\cos (0.813 n) \quad \forall-20 \leq n \leq 20$$
is an example of an even signal. This signal is shown in Fig. 2.8.
A signal is odd if
$$x(-n)=-x(-n) .$$
An odd signal is antisymmetric with respect to the origin. The signal
$$s(n)=2 \sin (0.381 n)+\sin (0.792 n) \quad \forall-20 \leq n \leq 20$$
is an example of an odd signal. This signal is shown in Fig. 2.9.

An arbitrary signal, $x(n)$, can be separated into its even and odd parts using the following equations:
\begin{aligned} x(n) &=x_{e}(n)+x_{o}(n), \ x_{e}(n) &=0.5[x(n)+x(-n)], \ x_{o}(n) &=0.5[x(n)-x(-n)] . \end{aligned}
This concept can be demonstrated by adding the even signal in Eq. (2.30), and shown in Fig. 2.8, to the odd signal in Eq. (2.33), and shown in Fig. 2.9, to obtain the signal which is neither even nor odd as shown in Fig. 2.10.

Fig. $2.11$ shows $x(-n)$ which is obtained by performing a left-right flip of the signal in Fig. 2.10.
Fig. $2.12$ shows the results of computing the even part of $x(n)$ using
$$x_{e}(n)=0.5[x(n)+x(-n)]$$
compared with the even signal in Fig. 2.8. The signals are the same (except for possible rounding errors during the computations).
Fig. $2.13$ shows the results of computing the odd part of $x(n)$ using
$$x_{\dot{o}}(n)=0.5[x(n)-x(-n)]$$
compared with the odd signal in Fig. 2.9. The signals are the same (except for possible rounding errors during the computations).

## 电子工程代写|数字系统设计作业代写Digital System Design代考|REPRESENTING DISCRETE TIME SIGNALS

1. 表中给出的表 $2.1$ 如图 $2.1$ 所示，
2. 方程式中给出的功能表示。(2.1) 也如图 $2.2$ 所示， $\$ \$$x(n)=l l e f t{ \begin{array}{lll}0 & \text { for } n<0 & \\ (0.6)^{n} & \text { for } 0 \leq n \leq 10 & \\ 0 & \text { for } & n>10\end{array} 【正确的。 \ \$$
3. 方程式中给出的序列表示。(2.2) 如图2.3所示，
$$x(n)=-2,-1,1,5,3,-1,-3$$
向上箭头 $(\uparrow)$ 在等式。(2.2) 表示样本为 $n=0$.

## 电子工程代写|数字系统设计作业代写Digital System Design代考|EVEN AND ODD SIGNALS

$$x(-n)=x(n) .$$

$$s(n)=2 \cos (0.279 n)+\cos (0.813 n) \quad \forall-20 \leq n \leq 20$$

$$x(-n)=-x(-n) .$$

$$s(n)=2 \sin (0.381 n)+\sin (0.792 n) \quad \forall-20 \leq n \leq 20$$

$$x(n)=x_{e}(n)+x_{o}(n), x_{e}(n)=0.5[x(n)+x(-n)], x_{o}(n)=0.5[x(n)-x(-n)] .$$

$$x_{e}(n)=0.5[x(n)+x(-n)]$$

$$x_{\dot{o}}(n)=0.5[x(n)-x(-n)]$$

## 广义线性模型代考

statistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## 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。

## 电子工程代写|数字系统设计作业代写Digital System Design代考|ECE4110

statistics-lab™ 为您的留学生涯保驾护航 在代写数字系统设计Digital System Design方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写数字系统设计Digital System Design方面经验极为丰富，各种代写数字系统设计Digital System Design相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 电子工程代写|数字系统设计作业代写Digital System Design代考|DETERMINISTIC AND RANDOM SIGNALS

A deterministic signal is a function of one or more independent variables such as time, distance, position, temperature, and pressure. It can be uniquely determined by a well-defined process such as a mathematical expression of one or more independent variables, or by table look up. For example,
$$s(t)=3 \sin (2.1 \pi t+0.3198)$$
is a deterministic signal with independent variable $t$.
There are some important signals that cannot be uniquely represented by these methods, and therefore, they are not deterministic signals. Generally, speech is not considered to be a deterministic signal because it cannot be described functionally by a mathematical expression. However, a recorded segment of speech can be represented, to a high degree of accuracy, as the sum of several sinusoids of different amplitudes and frequencies such as [4]
$$s(t)=\sum_{k=1}^{N} A_{k}(t) \sin \left[2 \pi F_{k}(t) t+\theta_{k}(t)\right]$$
where $A_{k}(t)$ represents the amplitude of sinusoid $k$ at time $t, F_{k}(t)$ represents the frequency of sinusoid $k$ at time $t$, and $\theta_{k}(t)$ represents the phase of sinusoid $k$ at time $t$.

A signal that is determined in a random way and cannot be predicted ahead of time is a random signal. Statistical approaches are often used to analyze random signals. This text primarily covers deterministic signals.

## 电子工程代写|数字系统设计作业代写Digital System Design代考|ELEMENTARY TIME DOMAIN OPERATIONS

The three most basic operations for processing digital signals in the domain of the independent variable, such as the time domain, are scaling, delay, and addition. The scaling operation involves amplification or attenuation for continuous time signals and multiplication for digital signals. This operation can be represented as
$$y(t)=\alpha x(t)$$
for a continuous time system and by
$$y(n)=\alpha x(n)$$
for a discrete time system where $n$ is the sample number.
The delay operation generates a signal that is a delayed replica of the original signal. This can be represented by
$$y(t)=x\left(t-t_{0}\right)$$
for a continuous time signal where the signal is delayed by the amount $t_{0}$. The corresponding representation for the discrete time system is
$$y(n)=x(n-m)$$
where $m$ and $n$ are integers and the signal is delayed by $m$ samples.
Many applications involve two or more signals to generate a new signal. For example,
$$y(t)=x_{1}(t)+x_{2}(t)+x_{3}(t)$$
is a signal generated by the addition of three continuous time signals. Similarly,
$$y(n)=x_{1}(n)+x_{2}(n)+x_{3}(n)$$
is a signal generated by the addition of three discrete time signals.

## 电子工程代写|数字系统设计作业代写Digital System Design代考|DETERMINISTIC AND RANDOM SIGNALS

$$s(t)=3 \sin (2.1 \pi t+0.3198)$$

$$s(t)=\sum_{k=1}^{N} A_{k}(t) \sin \left[2 \pi F_{k}(t) t+\theta_{k}(t)\right]$$

## 电子工程代写|数字系统设计作业代写Digital System Design代考|ELEMENTARY TIME DOMAIN OPERATIONS

$$y(t)=\alpha x(t)$$

$$y(n)=\alpha x(n)$$

$$y(t)=x\left(t-t_{0}\right)$$

$$y(n)=x(n-m)$$

$$y(t)=x_{1}(t)+x_{2}(t)+x_{3}(t)$$

$$y(n)=x_{1}(n)+x_{2}(n)+x_{3}(n)$$

## 广义线性模型代考

statistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## 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。