Methods of formation and digital signal processing: educational manual . H. 2: Discrete Fourier Transformation by B. A. Ovsyannikova is an indispensable work for students, graduate students and specialists in the field of digital signal processing and related disciplines . The second part of this tutorial continues to explore the methods needed to understand and apply the discrete Fourier transform (CRF), one of the key tools in modern digital signal processing. In this manual, the author examines in detail the theoretical foundations and practical aspects of the DPF, which makes it an ideal choice for those who seek to deepen their knowledge in this area. Ovsyannikov not only explains how the DPF works, but also shows how it can be used in various fields, such as image processing, audio signals, and even in telecommunications. The reader will be able to learn about how Fourier transform allows analyzing the frequency characteristics of signals, which is an important step in their processing and analysis. The book will be of particular interest to technical students, as well as practicing engineers and researchers working in the field of digital signal processing. If you study subjects such as electrical engineering, radio engineering, or information technology, this tutorial will be a valuable resource for you. It will also be useful for those who are interested in signal processing algorithms and their application in real-world problems. The topics raised in the book cover not only theoretical aspects, but also practical examples, which makes the material accessible and understandable. Ovsyannikov pays attention to various methods of implementing the DPF, including direct and reverse transformations, as well as their application in real systems. Readers will be able to familiarize themselves with the algorithms that are used to optimize signal processing, which is an important aspect in the context of modern technologies, where speed and efficiency play a key role. The author's style is clear and structured, which allows the reader to easily assimilate complex concepts. In. A. Ovsyannikov is an experienced teacher and practitioner, which makes his approach to the presentation of the material especially valuable. It uses many illustrations and examples, which helps to better understand and remember the key points. His other well-known works are also devoted to signal processing and communication systems, which confirms his in-depth knowledge and experience in this field. The book "Methods of formation and digital signal processing" is not just a textbook, but a real find for those who want to master modern methods of signal processing. It will become a reliable companion for students, postgraduates and specialists seeking professional growth and deepening of their knowledge. If you are looking for high-quality literature on digital signal processing, pay attention to this guide - it will help you not only understand the theory, but also learn how to apply knowledge in practice. Do not miss the opportunity to expand your horizons in the field of digital signal processing with the help of book B. A. Ovsyannikova . This publication will be your reliable assistant in the study of complex topics and will help you confidently move to new heights in your professional career.