Mitchell, T. J. (2010) An exploration of evolutionary computation ...
Mitchell, T. J. (2010) An exploration of evolutionary computation ...
Mitchell, T. J. (2010) An exploration of evolutionary computation ...
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5.4 <strong>An</strong> <strong>An</strong>alysis <strong>of</strong> Performance in Selected Test Environments …………………………………. 105<br />
5.4.1 Experiments on Himmelblau's Function ……………………………………………. 106<br />
5.4.2 Experiments on the Multimodal Function …………………………………………... 111<br />
5.4.3 Experiments on the Maximum <strong>of</strong> Two Quadratics Function ……………………….. 116<br />
5.5 Convergence Dynamics ……………………………………………………………………….. 119<br />
5.6 Summary <strong>of</strong> this Chapter ……………………………………………………………………… 120<br />
6 The Exploration <strong>of</strong> FM Parameter Space with Evolutionary Computation ….. 121<br />
6.1 Introduction ……………………………………………………………………………………. 122<br />
6.2 Synthesiser Choice …………………………………………………………………………….. 124<br />
6.3 Frequency Modulation Synthesis …………………………………………………………….... 124<br />
6.3.1 FM Extensions ……………………………………………………………………… 124<br />
6.3.2 Target Matching with FM Synthesis ………………………………………………... 126<br />
6.4 Sound Synthesis Applications <strong>of</strong> Evolutionary Computation ………………………………… 128<br />
6.4.1 Interactive Evolutionary Synthesis …………………………………………………. 128<br />
6.4.2 Evolutionary Sound Matching ……………………………………………………… 128<br />
6.4.3 A Conspectus <strong>of</strong> Non-FM Evolutionary Sound Matching Research ……………….. 129<br />
6.4.4 Evolutionary Sound Matching with Frequency Modulation Synthesis …………….. 130<br />
6.4.5 New Developments in Evolutionary Sound Matching …………………………….... 131<br />
6.5 Sound Similarity Measures ……………………………………………………………………. 133<br />
6.5.1 Content-Based <strong>An</strong>alysis …………………………………………………………….. 133<br />
6.5.2 Spectrum Error …………………………………………………………………….... 135<br />
6.4.3 Windowed Relative Spectrum Error ………………………………………………... 137<br />
6.4.4 Perceptual Error …………………………………………………………………...... 139<br />
6.5 Summary <strong>of</strong> this Chapter ……………………………………………………………………… 140<br />
7 Experiments in Evolutionary Sound Matching with FM Synthesis ………….. 141<br />
7.1 Evolutionary FM Matching System ………………………………………………………….... 142<br />
7.1.1 FM Synthesis Parameter Ranges ……………………………………………………. 145<br />
7.2 EA Representation …………………………………………………………………………….. 145<br />
7.3 Evolutionary Matching Synthesis Procedure ………………………………………………….. 146<br />
7.4 Contrived Sound Matching – <strong>An</strong> Experimental Test Method …….…………………………... 149<br />
7.5 <strong>An</strong> <strong>An</strong>alysis <strong>of</strong> Evolutionary FM Synthesis Sound Matching Performance ………………….. 150<br />
7.6 A Performance <strong>An</strong>alysis <strong>of</strong> Evolutionary Static Tone Matching ……………………………... 152<br />
7.6.1 Experiments with Static Tone Contrived Targets …………………………………... 153<br />
7.6.1.1 Contrived Matching with Single Simple FM …………………………….. 154<br />
7.6.1.2 Contrived Matching with Double Simple FM ……………………………. 157<br />
7.6.1.3 Contrived Matching with Triple Simple FM ……………………………... 159<br />
7.6.2 Experiments with Static Tone Non-Contrived Targets ……………………………... 162<br />
7.6.2.1 Evolutionary Synthesis Matching <strong>of</strong> Additive-Subtractive Synthesis<br />
Tones ……………………………………………………………………...<br />
7.6.2.2 Evolutionary Synthesis Matching <strong>of</strong> Acoustic Instrument Tones ………... 167<br />
7.7 A Performance <strong>An</strong>alysis <strong>of</strong> Evolutionary Time-Varying Matching …………………………... 171<br />
7.7.1 Experiments with Time-Varying Contrived Targets ………………………………... 171<br />
7.7.1.1 Contrived Matching with Time-Varying Single Simple FM ……………. 172<br />
7.7.1.2 Contrived Matching with Time-Varying Double Simple FM ………….... 174<br />
163<br />
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