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.SELECT A
COMPUTER SIMULATION OF MUSIC INSTRUMENT 
TONES IN REVERBERANT SPACES
.END
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.SELECT A
I.  INTRODUCTION - - - - - - - - - - - - - - - - - - - - - - - - - - - 2
    		%5current research
    		%5proposed research
	    %CAPPLICATIONS
		%5scientific research
		%5education
		%5archetectural acoustics
		%5music industry
		%5electronic music composition
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II. RESEARCH PROPOSAL  - - - - - - - - - - - - - - - - - - - - - - - - 11
		%5note to the reader
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    A. SIMULATION OF MUSIC INSTRUMENT TONES  - - - - - - - - - - - - - 11
	1. ADDITIVE SYNTHESIS BASED ON THE ANALYSIS OF REAL TONES  - - 14
	    %CINTRODUCTION TO SYNTHESIS AND ANALYSIS TECHNIQUES
  		%5synthesis
		%5analysis for additive synthesis and graphic techniques
	    %CCURRENT RESEARCH
		%5perceptual evaluation of anaysis-synthesis strategy
		%5filtering of signals to localize perceptual cues
		%5date reduction
	    %CPROPOSED RESEARCH
		%5extension of timbral range
		%5systematic exploration of data reduction techniques
		%5automatic data reduction algorithms
		%5higher-order algorithms
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.GROUP SKIP 1
  	2. FREQUENCY MODULATION SYNTHESIS  - - - - - - - - - - - - - - 25
	    %CINTRODUCTION TO SYNTHESIS AND ANALYSIS TECHNIQUES
		%5synthesis
		%5FM predictive analysis and graphic techniques
	    %CCURRENT RESEARCH
		%5periodicity - ratio of carrier to modulating frequencies
		%5bandwidth as a function of time - modulation index
		%5resonances - multiple carrier waves
	    %CPROPOSED RESEARCH
		%5simulation of fixed resonances
		%5inharmonicity - multiple modulation waves
		%5non-periodic tones
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   	3. TOWARDS A GENERAL MODEL FOR SIMULATION  - - - - - - - - - - 34
	    %CCURRENT RESEARCH
		%5interaction between additive and FM syntheses
	    %CPROPOSED RESEARCH
		%5exploration of subtractive synthesis techniques
		%5applications of multidimensional scaling to timbre perception
		%5investigation of categorical perception
		%5automatic FM mappings from analyzed signals 
			and convergence of approaches
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    B. SIMULATION OF REVERBERANT SPACES AND LOCALIZED SOUND SOURCES  - 44
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	1. SIMULATION OF REVERBERANT SPACES  - - - - - - - - - - - - - 44
	    %CINTRODUCTION TO ARTIFICIAL REVERBERATION TECHNIQUES 
		%5the comb filter
		%5all-pass unit reverberators 
	    %CCURRENT RESEARCH
		%5colorless reverberation
		%5spatially diffuse reverberation
	    %CPROPOSED RESEARCH
		%5applications of the second order all-pass unit reverberator
		%5simulation of real rooms
		%5perceptual scaling and testing
		%5higher level algorithms
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	2. SIMULATION OF LOCALIZED SOUND SOURCES  - - - - - - - - - - - 54
	    %CCURRENT RESEARCH
	        %5simulation of azimuth and distance cues
	        %5moving sources and velocity cue
	    %CPROPOSED RESEARCH
		%5azimuth
		%5distance
		%5location of source as indication of room size
		%5altitude
		%5perceptual scaling and testing
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.SELECT 1
III. RESEARCH FACILITIES - - - - - - - - - - - - - - - - - - - - - - - **
     A. EXISTING FACILITIES  - - - - - - - - - - - - - - - - - - - - - **
	1. HARDWARE FACILITIES AT THE STANFORD AI LAB  - - - - - - - - **
	2. EXISTING RESEARCH SUPPORT SOFTWARE  - - - - - - - - - - - - **
	    %CGENERAL-PURPOSE PROGRAMS
	    %CPROGRAMS FOR REVERBERATION AND LOCALIZATION RESEARCH
	    %CPROGRAMS FOR MUSIC INSTRUMENT TONE RESEARCH
	    %CPROGRAMS FOR PERCETUAL EXPERIMENTATION
.SELECT 1
     B. PROPOSED FACILITY  - - - - - - - - - - - - - - - - - - - - - - **
	1. HARDWARE FACILITY   - - - - - - - - - - - - - - - - - - - - **
	2. PROPOSED RESEARCH SUPPORT SOFTWARE  - - - - - - - - - - - - **
	    %CTHE PDP-11 MONITOR
	    %CTHE SIGNAL PROCESSOR
	
.SELECT C
IV.  EQUIPMENT AND HARDWARE
    A. Hardware
	1. PDP-11,45
	2. Special Purpose Processor
	3. Display
	4. Audio equipment- 8-ch recorder, speakers, amplifiers, etc.
    B. Acoustically Controled Spaces
	1. Large acoustically treated room
   	2. Small isolation module

V. BUDGET AND PERSONNEL
.SELECT 1

VI. APPENDICES - - - - - - - - - - - - - - - - - - - - - - - - - - - - **
    A. THE HETERODYNE FILTER - - - - - - - - - - - - - - - - - - - - - **
    B. MULTIDIMENSIONAL SCALING TECHNIQUES - - - - - - - - - - - - - - **
    C. SPECTRAL SHAPING FILTERS  - - - - - - - - - - - - - - - - - - - **
    D. UNIT REVERBRATORS - - - - - - - - - - - - - - - - - - - - - - - **
    E. FM TECHNIQUE  - - - - - - - - - - - - - - - - - - - - - - - - - **
    F. LOCALIZATION TECHNIQUE  - - - - - - - - - - - - - - - - - - - - **

VII. REFERENCES