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Outline
Introduction 6
I Theoretical part 9
1.1 Wavelet theory 10
1.2 Wavelet transforms (continuous shift and scale parameters) 12
1.3 Wavelet Bases 22
1.4 Wavelet transforms 26
1.5 Wavelets 30
II Practical part 36
2.1 Signal Analysis 38
2.2 Signal Denoising 42
III. SAFETY OF VITAL ACTIVITY AND ECOLOGY 61
3.1The workplace is properly organized 61
3.2 Identify the circumstances and causes of workplace injuries. 63
3.3 The concept of environmental law 65
Conclusion 68
Reference 69
Introduction
Mankind has gone through 5 information revolutions so far. The first revolution was the emergence of speech. Through speech, people have been able to hold information for a while and share information. This opportunity allowed them to live as a team, to hunt in harmony, to share their experiences with others, and to work in an organized manner to warn of danger.
The second information revolution took place 5,000 years ago in ancient Egypt and Mesopotamia. The second information revolution was this writing. The record allowed people to store their experiences, send them to distant lands, gather information, and use the information gathered.
The third information revolution was the printing press. Printing machines made it possible to spread information at great speeds. Now people have the opportunity to know what is going on in the environment, in politics, in the world, and how it is developing. The rapid spread of information has allowed people to think more broadly. It provided an opportunity to keep abreast of scientific news, to study the processes of social life, to be aware of the current problems in society. It was at this time that the Renaissance began.
The fourth information revolution was the invention of radio communication. Humans were now able to transmit data from one place to another at speeds close to the speed of light. Now people can transmit the information they need over long distances in seconds. Since radio transmitters were no longer needed, they were now able to exchange information directly with ships, planes and missiles. Radio communication led to the emergence of new media, radio and television. People could talk and exchange information over the phone with people from far and wide. Radio communication allowed people to go into space.
The fifth information revolution was the invention of these digital technologies. People now have the ability to transmit large amounts of information. Digital technologies have made it possible not only to transmit information, but also to store, edit, study, and process it. In the past, it took months to transmit a single volume of information. Because textual data transmission technologies were very slow and required human intervention. Digital technologies have begun to perform the task of data transfer at a great speed and have entered a new phase of data transmission. Now anyone can transfer any type of information at high speed.
Relevance of the work: The last fourth and fifth information revolutions are directly related to signals. As signals propagate in the environment, natural and artificial noises propagate along with them. Noise can interfere with the transmission of information. Noise attenuation or noise removal is one of the most important tasks of information technology. There are many mathematical and technical ways to clean up noise. One of these is the noise removal method using Wavelet functions. In normal fourier shifts, the signal becomes a harmonic signal. In wavelet switches, the signal retains its nature. Therefore, it is important to learn and apply signal purification using wavelet functions.
Purpose of the work: The purpose of the work is to study the functions of the wavelet and to visualize the process of clearing the signals using them.
Objective: To study and analyze Wavelet functions. Explore the structure of wavelet functions. Use the MATLAB software package to use Wavelet.
Task: 1. Analyze a given topic;
2. Study the relevance of the topic;
3. Selection of software to complete the practical part;
4. Visual demonstration of clearing signals using wavelet functions.
Object of work: Filtering and noise removal of signals.
Subject: Clear multidimensional signals using Wavelet functions.
Practical significance of the work: In normal furrier exchanges, the signal is converted into a harmonic signal. In wavelet switches, the signal retains its nature. Therefore, it is important to learn and apply signal purification using wavelet functions.
Size: 69 pages, 42 pictures.
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