On 15/03/2007, at 14.54, shift8 wrote:
are there any resources, books, etc out that approach the subject
of dsp in a style like this?
There is also
"Music: a Mathematical Offering" by Dave Benson URL: http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html
There is a free and regularly updated PDF version on that site. Also
it was reviewed in the February issue of The Wire Mag.
From the TOC:
- Digital music
7.1 Digital signals 7.2 Dithering 7.3 WAV and MP3 files 7.4 MIDI 7.5 Delta functions and sampling 7.6 Nyquist's theorem 7.7 The z-transform 7.8 Digital filters 7.9 The discrete Fourier transform 7.10 The fast Fourier transform
- Synthesis
8.1 Introduction 8.2 Envelopes and LFOs 8.3 Additive synthesis 8.4 Physical modeling 8.5 The Karplus-Strong algorithm 8.6 Filter analysis for the Karplus-Strong algorithm 8.7 Amplitude and frequency modulation 8.8 The Yamaha DX7 and FM synthesis 8.9 Feedback, or self-modulation 8.10 CSound 8.11 FM synthesis using CSound 8.12 Simple FM instruments 8.13 Further techniques in CSound 8.14 Other methods of synthesis 8.15 The phase vocoder 8.16 Chebychev polynomials
I like this topic. In fact is was thinking about requesting folks
bibtex files for inspiration. Anyone?