Musical Applications of Fourier Theory and Digital Signal Processing (U03359)

? Credit Points : 20 ? SCQF Level : 10 ? Acronym : ACE-3-Fourier

This course aims to describe the mathematical underpinnings of Fourier theory, and digital signal processing, especially with regard to music and audio applications. The emphasis is on algebraic work, and on practical computation for sound analysis and synthesis.

? Keywords : music technology fourier theory digital signal processing acoustics

Entry Requirements

? Pre-requisites : Music Technology 2b or Experimental Musical Acoustics A.

Subject Areas

Home subject area

Music, (School of Arts, Culture and Environment, Schedule A)

Delivery Information

? Normal year taken : 3rd year

? Delivery Period : Semester 1 (Blocks 1-2)

? Contact Teaching Time : 2 hour(s) per week for 11 weeks

All of the following classes

Type	Day	Start	End	Area
Lecture	Tuesday	09:00	10:50	Central

Summary of Intended Learning Outcomes

(1) A thorough and detailed technical and mathematical understanding of Fourier Theory with regard to audio signal processing.
(2) The ability to program audio processing code in the Matlab language.
(3) The ability to design and program specialised signal processing operations, such as the phase vocoder, and various audio effects including flangers, chorusers and artificial reverberation.
(4) An understanding of the Fast Fourier Transform and its significance.
(5) An increased facility with various mathematical concepts, including complex number representations, trigonometry, inner product descriptions, orthogonality as well as some linear algebra.
(6) An appreciation and understanding of issues which separate real-time from non-real-time audio signal processing applications.
(7) An understanding of, and the ability to program simple digital filter structures, including low-, high-, all- and band-pass filters.