Postgraduate Musical Applications of Fourier Theory and Digital Signal Processing (P02808)

? Credit Points : 20 ? SCQF Level : 11 ? Acronym : ACE-P-PGFourier

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.

Entry Requirements

none

Subject Areas

Home subject area

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

Delivery Information

? Normal year taken : Postgraduate

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

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

Summary of Intended Learning Outcomes

An technical understanding of Fourier anaylsis, especially as applied to discrete time audio signals

An understanding of the functioning of various audio effects, including chorus, flanging, and phasors.

An understanding of the short time Fourier transformation, and phase vocoder based time stretching and pitch shifting algorithms, at the algebraic and programming levels.

An understanding of simple digital filter structures as used in audio applications.

An understanding of discrete inner product spaces, and the concept of signal orthogonality.

An understanding of the underpinnings and implications of the audio sampling theorem.

Facility in the Matlab programming language