Mathematics of the Discrete Fourier Transform (DFT) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of the Discrete Fourier Transform (DFT) write by Julius O. Smith. This book was released on 2008. Mathematics of the Discrete Fourier Transform (DFT) available in PDF, EPUB and Kindle. "The DFT can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, and that is the focus of this book. The DFT is normally encountered as the Fast Fourier Transform (FFT)--a high-speed algorithm for computing the DFT. The FFT is used extensively in a wide range of digital signal processing applications, including spectrum analysis, high-speed convolution (linear filtering), filter banks, signal detection and estimation, system identification, audio compression (such as MPEG-II AAC), spectral modeling sound synthesis, and many others. In this book, certain topics in digital audio signal processing are introduced as example applications of the DFT"--Back cover
Mathematics of the Discrete Fourier Transform (DFT) with Music and Audio Applications
Mathematics of the Discrete Fourier Transform (DFT) with Music and Audio Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of the Discrete Fourier Transform (DFT) with Music and Audio Applications write by Julius O. Smith III. This book was released on 2003-01-01. Mathematics of the Discrete Fourier Transform (DFT) with Music and Audio Applications available in PDF, EPUB and Kindle.
Mathematics of the Discrete Fourier Transform (DFT)
Mathematics of the Discrete Fourier Transform (DFT) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of the Discrete Fourier Transform (DFT) write by Julius Smith. This book was released on 2008-08-26. Mathematics of the Discrete Fourier Transform (DFT) available in PDF, EPUB and Kindle.
Music Through Fourier Space
Music Through Fourier Space - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Music Through Fourier Space write by Emmanuel Amiot. This book was released on 2016-10-26. Music Through Fourier Space available in PDF, EPUB and Kindle. This book explains the state of the art in the use of the discrete Fourier transform (DFT) of musical structures such as rhythms or scales. In particular the author explains the DFT of pitch-class distributions, homometry and the phase retrieval problem, nil Fourier coefficients and tilings, saliency, extrapolation to the continuous Fourier transform and continuous spaces, and the meaning of the phases of Fourier coefficients. This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems.
Introduction to Digital Filters
Introduction to Digital Filters - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Digital Filters write by Julius Orion Smith. This book was released on 2007. Introduction to Digital Filters available in PDF, EPUB and Kindle. A digital filter can be pictured as a "black box" that accepts a sequence of numbers and emits a new sequence of numbers. In digital audio signal processing applications, such number sequences usually represent sounds. For example, digital filters are used to implement graphic equalizers and other digital audio effects. This book is a gentle introduction to digital filters, including mathematical theory, illustrative examples, some audio applications, and useful software starting points. The theory treatment begins at the high-school level, and covers fundamental concepts in linear systems theory and digital filter analysis. Various "small" digital filters are analyzed as examples, particularly those commonly used in audio applications. Matlab programming examples are emphasized for illustrating the use and development of digital filters in practice.
