Posted on Categories:Time Series, 数据科学代写, 时间序列, 统计代写, 统计代考

# 统计代写|时间序列代写Time Series代考|DSC425 FILTERING

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## 统计代写|时间序列代写Time Series代考|FILTERING

Most of the signals we work with include data that is slightly erroneous or contains some unwanted signals (also referred to as “noise”). For carrying out signal processing and analysis, it is imperative to get rid of such interferences or at least reduce their effects. To extract information from noisy data, we apply filtering techniques. The objective of filtering is to estimate the true state and/or predicting future value. A filter is a system which allows passing (or amplifying) certain frequencies while reducing (attenuating) other frequencies. It rules out (ignores) unwanted frequencies from signals and thus helps extract desired frequencies.
The four broad categories of filters we will study are low pass filter, high pass filter, band pass filter and band stop filter. We will discuss each type in detail.

## 统计代写|时间序列代写Time Series代考|LOW PASS FILTER

As the name suggests, a low pass filter allows low frequencies to pass through and attenuates greater frequencies. Its graph looks like the one depicted in Figure 5.5.
The graph indicates that low frequencies are allowed to pass through and high frequencies are ignored or reduced. Cut-off frequency is the one above which the frequencies are attenuated. Note that we have defined the low pass filter here by frequency and not wavelength. If we consider wavelength, then the description will be reversed, that is, a low pass filter will retain higher wavelengths and ignore lower wavelengths. Shirahata et al. (2016) have discussed the role of low pass filters to remove tidal effects from ground water observations data.

Low pass filtering of a time series reveals low-frequency features and trends.
Low pass filters are used in eliminating background noise, play a role in tuning radio to a specific frequency, modify digital images and remove specific frequencies in data analysis.

## 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。