Math Fundamentals For Audio

Math Fundamentals for Audio uniquely complements many popular textbooks on the recording arts and audio engineering with its fresh and thorough presentation of essential mathematical concepts. In this handbook Leslie Gaston-Bird applies principles from algebra, geometry, trigonometry and even calculus to concepts such as Ohm’s law, delays, impedance, bandwidth and decibels. This concise book offers a foundation for connecting mathematics with modern software tools for digital audio.

An encyclopedic handbook on audio programming for students and professionals, with many cross-platform open source examples and a DVD covering advanced topics. This comprehensive handbook of mathematical and programming techniques for audio signal processing will be an essential reference for all computer musicians, computer scientists, engineers, and anyone interested in audio. Designed to be used by readers with varying levels of programming expertise, it not only provides the foundations for music and audio development but also tackles issues that sometimes remain mysterious even to experienced software designers. Exercises and copious examples (all cross-platform and based on free or open source software) make the book ideal for classroom use. Fifteen chapters and eight appendixes cover such topics as programming basics for C and C++ (with music-oriented examples), audio programming basics and more advanced topics, spectral audio programming; programming Csound opcodes, and algorithmic synthesis and music programming. Appendixes cover topics in compiling, audio and MIDI, computing, and math. An accompanying DVD provides an additional 40 chapters, covering musical and audio programs with micro-controllers, alternate MIDI controllers, video controllers, developing Apple Audio Unit plug-ins from Csound opcodes, and audio programming for the iPhone. The sections and chapters of the book are arranged progressively and topics can be followed from chapter to chapter and from section to section. At the same time, each section can stand alone as a self-contained unit. Readers will find The Audio Programming Book a trustworthy companion on their journey through making music and programming audio on modern computers.

In Fundamentals of Digital Audio, Alan P.Kafauver and David Patschke present a systematic overview of the elements for digital recording and reproducing sound. With Ideas grounded in the principles of acoustics, the authors exptore the essential issues involved in preserving, transferring, and modifying sound recordings in the digital domain. In addition to references on historic methods of sound reproduction, this book includes detailed information about the latest digital audio technology. Of special interest is the coverage of storage media and compression technologies. The authors detail a comprehensive introduction and evolution of data storage and media standards, including CD/DVD/Blu-ray/HD DVD, as well as fully (but plainly) detailing associated digital audio compression algorithms. They catalog in detail the processes involved in digitally editing recorded sound, presenting a step-by-step editing and mastering session. Fundamentals of Digital Audio is an essential textbook for anyone who wants to better understand or work with recorded sound using today's digital equipment. The book contains many diagrams and illustrations through which the authors share their expertise with the reader, Among the few books that treats this subject both comprehensively and understandably, the new edition of Fundamentals of Digital Audio should continue to be an indispensable text in this area.

Sound design is a ubiquitous subject for electronic musicians working across a staggering array of contemporary musical styles and practices. There is an extensive literature covering the creation of Foley effects, and another body of literature addressing domain-specific applications of sound design technique, e.g., how to make bass sounds for Dubstep or how to produce drum sounds for Trap. There is also a computer music literature that focuses on the mathematics of digital signal processing as it pertains to implementing classic digital synthesis and processing techniques. Automated Sound Design addresses the topic from a different perspective, demonstrating the power of sound design when enhanced by automated structures implemented with computer programming. Through the techniques and projects developed in this book, the reader will learn how to create sound design scenarios that generate classes of sounds with controlled unpredictability and unlimited variety of output. This adventure will reveal new ways to work with additive synthesis, frequency modulation, analysis-transformation synthesis, drum machines, Black MIDI, and spatialization for binaural listening.

This textbook provides both profound technological knowledge and a comprehensive treatment of essential topics in music processing and music information retrieval. Including numerous examples, figures, and exercises, this book is suited for students, lecturers, and researchers working in audio engineering, computer science, multimedia, and musicology. The book consists of eight chapters. The first two cover foundations of music representations and the Fourier transform—concepts that are then used throughout the book. In the subsequent chapters, concrete music processing tasks serve as a starting point. Each of these chapters is organized in a similar fashion and starts with a general description of the music processing scenario at hand before integrating it into a wider context. It then discusses—in a mathematically rigorous way—important techniques and algorithms that are generally applicable to a wide range of analysis, classification, and retrieval problems. At the same time, the techniques are directly applied to a specific music processing task. By mixing theory and practice, the book’s goal is to offer detailed technological insights as well as a deep understanding of music processing applications. Each chapter ends with a section that includes links to the research literature, suggestions for further reading, a list of references, and exercises. The chapters are organized in a modular fashion, thus offering lecturers and readers many ways to choose, rearrange or supplement the material. Accordingly, selected chapters or individual sections can easily be integrated into courses on general multimedia, information science, signal processing, music informatics, or the digital humanities.

This concise book builds upon the foundational concepts of MIDI, synthesis, and sampled waveforms. It also covers key factors regarding the data footprint optimization work process, streaming versus captive digital audio new media assets, digital audio programming and publishing platforms, and why data footprint optimization is important for modern day new media content development and distribution. Digital Audio Editing Fundamentals is a new media mini-book covering concepts central to digital audio editing using the Audacity open source software package which also apply to all of the professional audio editing packages. The book gets more advanced as chapters progress, and covers key concepts for new media producers such as how to maximize audio quality and which digital audio new media formats are best for use with Kindle, Android Studio, Java, JavaFX, iOS, Blackberry, Tizen, Firefox OS, Chrome OS, Opera OS, Ubuntu Touch and HTML5. You will learn: Industry terminology involved in digital audio editing, synthesis, sampling, analysis and processing The work process which comprises a fundamental digital audio editing, analysis, and effects pipeline The foundational audio waveform sampling concepts that are behind modern digital audio publishing How to install, and utilize, the professional, open source Audacity digital audio editing software Concepts behind digital audio sample resolution and sampling frequency and how to select settings How to select the best digital audio data codec and format for your digital audio content application How to go about data footprint optimization, to ascertain which audio formats give the best results Using digital audio assets in computer programming languages and content publishing platforms

This basic math fundamentals workbook relies on the student to have grasped the multiplication tables, from one to ten. Without this ability to instantly know the answers, the advantages are outweighed by this inability to seek the correct answer given certain situations. My rigorous addition, subtraction, multiplication and division approach, using whole numbers, fractions, decimals and percents examples, will help the learner become a better player in the field of math. These short fundamental lessons will bridge the gap that was lost somewhere in the educational process years ago.