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Michael Williams, Ile du Moulin, 62 bis Quai de l’Artois, FR-94170 Le Perreux sur Marne,
France. Tel. +33 1 4881 4632, Fax +33 1 4706 0648, E-mail PUBEUR@aes.org
Michael Williams, Sounds of Scotland - Le Perreux sur Marne, France

soundsscot@aol.com or mike@soundsscot.com
 
Articles by Michael Williams about Stereo Microphone Arrays
 
Michael Williams, "The Stereophonic Zoom: A Practical Approach to Determining the Characteristics of a Spaced Pair of Microphones (312 KB)",
75th AES Convention March 1984, Paris - AES Preprint No. 2072 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=11692

http://www.mmad.info/Collected%20Papers/Stereo/2072%20Paris%201984%20(10%20pages).pdf
 
Michael Williams, "Unified Theory of Microphone Systems for Stereophonic Sound Recording (1.52 MB)",
82nd AES Convention March 1987, London - AES Preprint No. 2466 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=4963

http://www.mmad.info/Collected%20Papers/Stereo/2466%20London%201997%20(41%20pages).pdf
 
Gert Simonsen, "Master's Thesis at the Technical University of Denmark, Lyngby (1984)",
used by Michael Williams. Test signals are maracas and
claves clicks.
Found maximum time difference is Δ t = 1.12 ms and maximum level difference is Δ L = 15 dB.
http://de.wikipedia.org/wiki/Williams-Kurven
 
 
Michael Williams, "Operational Limits of the Variable M/S Stereophonic Microphone System
(449 KB)",
88th AES Convention March 1990, Montreux - AES Preprint No. 2931 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=5763

http://www.mmad.info/Collected%20Papers/Stereo/2931%20Montreux%201990%20(10%20pages).pdf
 
Michael Williams, "Early Reflections and Reverberant Field Distribution in Dual Microphone Stereophonic Sound Recording Systems (1.53 MB)",
91st AES Convention October 1991, New York - AES Preprint No. 3155 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=10231

http://www.mmad.info/Collected%20Papers/Stereo/3155%20New%20York%201991%20(28%20pages).pdf
 
Michael Williams, "Microphone Arrays for Natural Multiphony (342 KB)",
91st AES Convention October 1991, New York - AES Preprint No. 3157 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=5559

http://www.mmad.info/Collected%20Papers/Multichannel/3157%20New%20York%201991%20(13%20pages).pdf
 
Michael Williams, "Frequency Dependent Hybrid Arrays for Stereophonic Sound Recording
(1.12 MB)"
92nd AES Convention March 1992, Vienna - AES Preprint No. 3252 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=6881

http://www.mmad.info/Collected%20Papers/Stereo/3252%20Vienna%201992%20(32%20pages).pdf
 
Colin Preston, "An Analysis of Frequency Dependent Hybrid Microphone Arrays for Stereophonic Sound Recording",
105th AES Convention, September 1998, San Francisco - AES Preprint No. 4793 (Convention Paper)

https://secure.aes.org/forum/pubs/conventions/?elib=8387
 
Michael Williams, "The Basic Principles of I.S.S.R. (Individual Sound Source Reinforcement)
(445 KB)",
93rd AES Convention October 1992, San Francisco - AES Preprint No. 3413 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=6721

http://www.mmad.info/Collected%20Papers/Stereo/3413%20San%20Francisco%201992%20(9%20pages).pdf
 
Michael Williams and Guillaume Le Dû, "Microphone Array Analysis for Multichannel Sound Recording (2.10 MB)",
107th AES Convention September 1999, New York - AES Preprint No. 4997 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=8183

http://www.mmad.info/Collected%20Papers/Multichannel/4997%20New%20York%201999%20(31%20pages).pdf
 
Michael Williams and Guillaume Le Dû, "Loudspeaker Configuration and Channel Crosstalk in Multichannel Microphone Array Design"
Tonmeistertagung VDT 2000 in Hannover
http://www.vdtshop.de/2000D06
 
Michael Williams and Guillaume Le Dû, "Multichannel Microphone Array Design MMAD (32.08 MB)",
108th AES Convention February 2000, Paris - AES Preprint No. 5157 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=9181

http://www.mmad.info/Collected%20Papers/Multichannel/5157%20Paris%202000%20(22%20pages).pdf
 
Michael Williams and Guillaume Le Dû, "The Quick Reference Guide to Multichannel Microphone Arrays - Part 1: using Cardioid Microphones (215.23 KB)",
110th AES Convention May 2001, Amsterdam - AES Preprint No. 5336 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=9937

http://www.mmad.info/Collected%20Papers/Multichannel/5336%20Amsterdam%202001%20(20%20pages).pdf
 
Michael Williams, "Multichannel Microphone Array Design MMAD: Segment Coverage Analysis above and below the Horizontal Reference Plane (641.04 KB)",
112th AES Convention May 2002, Munich - AES Preprint No. 5567 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=11372

http://www.mmad.info/Collected%20Papers/Multichannel/5567%20Munich%202002%20(9%20pages).PDF
 
Michael Williams, "Multichannel Microphone Support System (190.32 KB)",
24th AES International Conference June 2003, Banff, Multichannel Audio, The New Reality -
Article No. 26
http://www.aes.org/e-lib/browse.cfm?elib=12289

http://www.mmad.info/Collected%20Papers/Multichannel/24th%20ICP%20Banff%202003%20Poster%20Session.pdf
 
Michael Williams, "Multichannel Sound Recording Practice using Microphone Arrays (528.17 KB)",
24th AES International Conference June 2003, Banff, Multichannel Audio, The New Reality -
Article No. 28
http://www.aes.org/e-lib/browse.cfm?elib=12287

http://www.mmad.info/Collected%20Papers/Multichannel/24th%20ICP%20Banff%202003%20Paper%20(16%20pages).PDF
 
Michael Williams and Guillaume Le Dû, "The Quick Reference Guide to Multichannel Microphone Arrays - Part 2: using Supercardioid and Hypocardioid Microphones (5.79 MB)",
116th AES Convention May 2004, Berlin - AES Preprint No. 6059 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=12736

http://www.mmad.info/Collected%20Papers/Multichannel/6059%20Berlin%202004%20(26%20pages).pdf
 
Michael Williams, "Multichannel Sound Recording using 3,4 and 5 channel arrays for Front Sound Stage Coverage (4.64 MB)",
117th AES Convention October 2004, San Francisco - AES Preprint No. 6230 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=12887

http://www.mmad.info/Collected%20Papers/Multichannel/6230%20San%20Francisco%202004%20(57%20pages).pdf
 
Michael Williams, "The Basic Principles and Design Procedure for Multi-format-compatible Microphone Arrays (775.70 kB)", Tutorial Paper
International Tonmeister Symposium November 2005, Schloss Hohenkammer, Bavaria, Germany
(No AES Convention Paper)

http://www.tonmeister.de/symposium/2005/np_pdf/A02.pdf
 
Michael Williams, "The Whys and Wherefores of Acoustic Cross-talk in Multichannel Microphone Array Design MMAD (574.30 KB)",
118th AES Convention November 2005, Barcelona - AES Preprint No. 6373 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=13089

http://www.mmad.info/Collected%20Papers/Multichannel/6373%20Barcelona%202005%20(6%20pages).pdf
 
Michael Williams, "Magic Arrays - Multichannel Microphone Array MMAD Design Applied to Microphone Arrays Generating Interformat Compatability (1.19 MB)",
122nd AES Convention May 2007, Vienna - AES Preprint No. 7057 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=14042

http://www.mmad.info/Collected%20Papers/Multichannel/7057%20Vienna%202007.pdf
 
Michael Williams, "Migration of 5.0 Multichannel Microphone Array Design to Higher Order MMAD (6.0, 7.0 & 8.0) with or without the Inter-format Compatibility Criteria (6.51 MB)",
124th AES Convention May 2008, Amsterdam - AES Preprint No. 7480 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=14610

http://www.mmad.info/Collected%20Papers/Multichannel/7480%20Amsterdam%202008.pdf
 
Michael Williams, "The 'Williams Star' Microphone Array Support System"
131st AES Convention October 2011, New York - eBrief: 91

http://www.aes.org/e-lib/browse.cfm?elib=16585

http://www.aes.org/tmpFiles/elib/20140326/16585.pdf
http://www.posthorn.com/Micarray_williamsstar.html
 
Michael Williams, "CAMAD - Computer Assisted Microphone Array Design "
131st AES Convention, October 2011, New York - AES Preprint No. 8461 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=15987

 
Michael Williams, "Microphone Array Design for Localization with Elevation Cues"
132nd AES Convention, April 2012, Budapest - AES Preprint No. 8601 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=16239

 
Michael Williams, "The Psychoacoustic Testing of the 3-D Multiformat Microphone Array Design and the Basic Isosceles Triangle Structure of the Array and the Loudspeaker Reproduction Configuration"
134th AES Convention, May 2013, Rome - AES Preprint No. 8839 (Convention Paper)
http://www.aes.org/e-lib/browse.cfm?elib=16740



More about Stereo Microphone Arrays
 
Home Page of Michael Williams (read me)
http://www.mmad.info/
 
SOS_MMAD Web-site project - Multichannel Microphone Array Design = MMAD
Audio Engineering and Sound Recording Practice

http://www.mmad.info/SOS_MMAD.htm
 
Michael Williams, "The Stereophonic Zoom"
(No AES Convention Paper)

http://www.reddingaudio.com/downloads/Rycote%20Technical/The%20Stereophonic%20Zoom.pdf
 
Michael Williams and Guillaume Le Dû, "Multichannel Sound Recording - Multichannel Microphone Array Design" (No AES Convention Paper)
http://www.microphone-data.com/media/filestore/articles/MMAD-10.pdf
http://www.reddingaudio.com/downloads/Rycote%20Technical/MMAD%20-%20Multichannel%20Microphone%20Array%20Design.pdf
 
Benjamin Weiss, "Durch eine Angabe über die Summenleistung erweiterte Williamskurven"
(No AES Convention Paper)

http://www.kreatiefton.de/mic/Facharbeit_Summenleistung.pdf
 
Geoff Martin, "Towards a Better Understanding of Stereo Microphone Techniques"
(No AES Convention Paper)

http://richbreen.info/McGill_Paper/mic_pairs.html
 
Markus Kortschak, "Universal Multi-Format Microphone Array for Natural Multiphony (UMA)"
(No AES Convention Paper)

http://www.mpkortschak.com/pdf/BRA1108_303_KortschakM_Webauzug.pdf
 
Christian Sobtzick, "Williams Microphone Array (WMA) - Untersuchung der Gestaltungsprinzipien in Hinblick auf die Wiedergabequalität"
(No AES Convention Paper)

http://iem.kug.ac.at/fileadmin/media/iem/altdaten/projekte/bachelorarbeit/wma/wma.pdf
 
Michael Williams, "The Williams Star Surround Microphone Array"
(No AES Convention Paper)

http://www.posthorn.com/Micarray_williamsstar.html
 
Michael Williams, "Microphone Arrays for Stereo and Multichannel Sound Recording"
(No AES Convention Paper)

http://www.posthorn.com/Micarray_2.html
 
0. Intro and TOC:
http://dl.brucetambling.com/PDF_Library/Textbooks/Microphones/MichaelWilliams-StereoMicrophone/MichaelWilliams-StereoMicrophone_Ch00_Intro_and_TOC.pdf
 
1. The loudspeaker configuration:
http://dl.brucetambling.com/PDF_Library/Textbooks/Microphones/MichaelWilliams-StereoMicrophone/MichaelWilliams-StereoMicrophone_Ch01_Loudspeaker_Configuration.pdf
 
2. The stereo zoom - A variable two channel microphone array:
http://dl.brucetambling.com/PDF_Library/Textbooks/Microphones/MichaelWilliams-StereoMicrophone/MichaelWilliams-StereoMicrophone_Ch02_Stereo_Zoom.pdf
 
3. The training of the ear - Experimantal recording and listening tests:
http://dl.brucetambling.com/PDF_Library/Textbooks/Microphones/MichaelWilliams-StereoMicrophone/MichaelWilliams-StereoMicrophone_Ch03_Training_of_the_Ear.pdf
 
4. More on microphones - A short tutorial:
http://dl.brucetambling.com/PDF_Library/Textbooks/Microphones/MichaelWilliams-StereoMicrophone/MichaelWilliams-StereoMicrophone_Ch04_More_on_Microphones.pdf
 
Michael Williams, "Multichannel Sound Recording Practice using Microphones Arrays"
(No AES Convention Paper)

http://www.mmad.info/Collected%20Papers/Multichannel/24th%20ICP%20Banff%202003%20Paper%20(16%20pages).PDF
 
Michael Williams and Guillaume Le Dû, "Multichannel Sound Recording - Multichannel Microphone Array Design (MMAD)" (No AES Convention Paper)
http://www.microphone-data.com/media/filestore/articles/MMAD-10.pdf
 
"Multichannel Microphone Support System and Accessories showing flexibility to adjust for minimum and maximum wingspan"
http://www.mmad.info/MSS/mmss.htm
 
All array systems are designed for univalence -
Number of microphones = number of channels = number of loudspeakers

http://www.mmad.info/MAD/Ch_n_cov.htm
 
SRA Diagram for Hypocardioid Microphones (back attenuation 10 dB)
http://www.mmad.info/MAD/2%20Ch/SRA%20Hypo10.pdf
 
SRA Diagram for Omnidirectional Microphones
http://www.mmad.info/MAD/2%20Ch/SRA%20Omni.pdf
 
Multichannel Microphone Array Design MMAD - Dual-Microphone Array Design for Stereophonic Sound Recording - Two Channel Stereophony
http://www.mmad.info/MAD/2%20Ch/2ch.htm
 
Multichannel Microphone Array Design MMAD - Four Channel Microphone Array Design for Front Sound Stage Coverage
http://www.mmad.info/MAD/4Ch/4ch_FSSC/4ch_FSSC.htm
 
Multichannel Microphone Array Design MMAD - Five Channel Microphone Array Design for Surround Sound Coverage using Cardioid Microphones http://www.mmad.info/MAD/5Ch/5ch_Surround/Card/All/FTC55/FTC55.htm
 
Multichannel Microphone Array Design MMAD - Five Channel Microphone Array Design for Front Sound Stage Coverage
http://www.mmad.info/MAD/5Ch/5ch_Surround/5ch_SRND_All.htm
 
5 Channel Microphone Array Design for Surround Sound Coverage using Supercardioid Microphones - FTC 80° + 80° (100° / 19cm) / LSC 65° / BPC 70°
http://www.mmad.info/MAD/5Ch/5ch_Surround/Super/All/FTC80/B100/BPC70/BPC70.htm
 
5 Channel Microphone Array Design for Surround Sound Coverage using Hypocardioid Microphones
http://www.mmad.info/MAD/5Ch/5ch_Surround/Hypo/All/All.htm
 
5 Channel Microphone Array Design for Surround Sound Coverage using Cardioid Microphones
http://www.mmad.info/MAD/5Ch/5ch_Surround/Card/All/All.htm
 
5 Channel Microphone Array Design for Surround Sound Coverage using Supercardioid Microphones
http://www.mmad.info/MAD/5Ch/5ch_Surround/Super/All/All.htm
 
SOS Quick Reference Guide Cardioid Microphones - Front Triplet Coverage = 55° + 55°
http://www.mmad.info/MAD/5Ch/5ch_Surround/Card/All/FTC55/B60/BPC40/Plan%20A.pdf
 
Google Search: "SOS Quick Reference Guide Cardioid Microphones":
http://www.google.com/search?hl=en&q=SOS+Quick+Reference+Guide+Cardioid+Microphones&filter=0
 
Surround Sound - System Michael Williams
http://www.sengpielaudio.com/Surround-Williams-Brauner.pdf
 
Sound Recording System of Michael Williams by David Adamcyk
http://music.columbia.edu/cmc/courses/g6631/fall2012/assets/SoundRecording.pdf


Michael Williams - AES papers - AES E-Library
Audio Engineering Society
 
"The Stereophonic Zoom: A Practical Approach to Determining the Characteristics of a Spaced Pair of Directional Microphones"
75th AES Convention, March 1984, Paris - Preprint No. 2072
E-Library Location: (CD aes 10) /pp8185/pp8403/2159.pdf

http://www.aes.org/e-lib/browse.cfm?elib=11692
 
"Unified Theory of Microphone Systems for Stereophonic Sound Recording"
82nd AES Convention, March 1987, London - Preprint No. 2466
E-Library Location: (CD aes 10) /pp8185/pp8403/2159.pdf

http://www.aes.org/e-lib/browse.cfm?elib=4963
 
"Operational Limits of the Variable M/S Stereophonic Microphone System"
88th AES Convention, March 1990, Montreux - Preprint No. 2931
E-Library Location: (CD aes 11) /pp8690/pp9003/3013.pdf

http://www.aes.org/e-lib/browse.cfm?elib=5763
 
"Early Reflections and Reverberant Field Distribution in Dual Microphone Stereophonic Sound Recording Systems",
91st AES Convention October 1991, New York - Preprint No. 3155
E-Library Location: (CD aes18) /2001upd1/pp9193/pp9110/3215.pdf

http://www.aes.org/e-lib/browse.cfm?elib=10231
 
"Microphone Arrays for Natural Multiphony"
91st AES Convention, October 1991, New York, Preprint No. 3157
E-Library Location: (CD aes 12) /pp9193/pp9110/3217.pdf

http://www.aes.org/e-lib/browse.cfm?elib=5559
 
"Frequency Dependent Hybrid Arrays for Stereophonic Sound Recording"
92nd AES Convention, March 1992, Vienna - Preprint No. 3252
E-Library Location: (CD aes12) /pp9193/pp9203/3312.pdf

http://www.aes.org/e-lib/browse.cfm?elib=6881
 
"The Basic Principles of I.S.S.R. (Individual Sound Source Reinforcement)"
93rd AES Convention, October 1992, San Francisco - Preprint No. 3413
E-Library Location: (CD aes 12) /pp9193/pp9210/3472.pdf

http://www.aes.org/e-lib/browse.cfm?elib=6721
 
"Microphone Array Analysis for Multichannel Sound Recording"
107th AES Convention, September 1999, New York - Preprint No. 4997
E-Library Location: (CD aes 15) /pp9900/pp9909/4760.pdf

http://www.aes.org/e-lib/browse.cfm?elib=8183
 
"Multichannel Microphone Array Design MMAD"
108th AES Convention, February 2000, Paris - Preprint No. 5157
E-Library Location: (CD aes 15) /pp9900/pp0002/5157.pdf

http://www.aes.org/e-lib/browse.cfm?elib=9181
 
"The Quick Reference Guide to Multichannel Microphone Arrays - Part 1: using Cardioid Microphones"
110th AES Convention, May 2001, Amsterdam - Preprint No. 5336
E-Library Location: (CD aes 18) /pp2001/pp0105/110091.pdf
http://www.aes.org/e-lib/browse.cfm?elib=9937
 
"Multichannel Microphone Array Design MMAD: Segment Coverage Analysis above and below the Horizontal Reference Plane",
112th AES Convention May 2002, Munich - Preprint No. 5567
E-Library Location: (CD aes19) /pp2002/pp0205/000161.pdf

http://www.aes.org/e-lib/browse.cfm?elib=11372

 
"Multichannel Microphone Support System"
24th AES International Conference: Multichannel Audio,
The New Reality, June 2003, Banff - Article Number: 26
E-Library Location: (CD aes20) /pr2003/2003ba06/00025.pdf

http://www.aes.org/e-lib/browse.cfm?elib=12289
 
"Multichannel Sound Recording Practice Using Microphone Arrays"
24th AES International Conference: Multichannel Audio,
The New Reality, June 2003, Banff - Article Number: 28
E-Library Location: (CD aes20) /pr2003/2003ba06/00027.pdf

http://www.aes.org/e-lib/browse.cfm?elib=12287
 
The Quick Reference Guide to Multichannel Microphone Arrays - Part 2: using Supercardioid and Hypocardioid Microphones"
116th AES Convention, May 2004, Berlin - Preprint No. 6059
E-Library Location: (CD 116 Papers) /116/6059.pdf

http://www.aes.org/e-lib/browse.cfm?elib=12736
 
"Multichannel Sound Recording using 3, 4 and 5 Channel Arrays for Front Sound Stage Coverage"
117th AES Convention, October 2004, San Francisco - Preprint No. 6230
E-Library Location: (CD 117 Papers) /117/6230.pdf

http://www.aes.org/e-lib/browse.cfm?elib=12887
 
"The Whys and Wherefores of Acoustic Cross-talk in Multichannel Microphone Array Design MMAD"
118th AES Convention, November 2005, Barcelona - Preprint No. 6373
E-Library Location: (CD 118 Papers) /118/6373.pdf

http://www.aes.org/e-lib/browse.cfm?elib=13089
 
"Magic Arrays - Multichannel Microphone Array Design MMAD Applied to Microphone Arrays Generating Interformat Compatability"
122th AES Convention, May 2007, Vienna
- Preprint No. 7057
E-Library Location: (CD 122 Papers) /122/7057.pdf

http://www.aes.org/e-lib/browse.cfm?elib=14042
 
"Migration of 5.0 Multichannel Microphone Array Design to Higher Order MMAD (6.0, 7.0 & 8.0) with or without the Inter-format Compatibility Criteria"
124th AES Convention, May 2008, Amsterdam
- Preprint No. 7480
E-Library Location: (CD 124 Papers) /124/7480.pdf

http://www.aes.org/e-lib/browse.cfm?elib=14610
 
"The 'Williams Star' Microphone Array Support System"
131th AES Convention October 2011, New York - eBrief: 91

E-Library Location: http://www.aes.org/tmpFiles/elib/20140327/16585.pdf

http://www.aes.org/e-lib/browse.cfm?elib=16585
 
"CAMAD - Computer Assisted Microphone Array Design "
131st AES Convention, October 2011, New York - Preprint No. 8461
E-Library Location: (CD 131 Papers) /131/8461.pdf

http://www.aes.org/e-lib/browse.cfm?elib=15987
 
"Microphone Array Design for Localization with Elevation Cues"
132nd AES Convention, April 2012, Budapest - Preprint No. 8601
E-Library Location: (CD 132 Papers) /conv/132/8601.pdf

http://www.aes.org/e-lib/browse.cfm?elib=16239
 
"The Psychoacoustic Testing of the 3-D Multiformat Microphone Array Design and the Basic Isosceles Triangle Structure of the Array and the Loudspeaker Reproduction Configuration"
134th AES Convention, May 2013, Rome - AES Preprint No. 8839
E-Library Location:

http://www.aes.org/e-lib/browse.cfm?elib=16740
 
Georg Neumann - Private Search Engine
Firm Schoeps - Private Search Engine
Eberhard Sengpiel - Private Search Engine
Andreas Gernemann - Private Search Engine
David Griesinger - Private Search Engine
Gerhard Junker - Private Search Engine
Joerg Wuttke - Private Search Engine
Juerg Jecklin - Private Search Engine
Peter Ruhrberg - Private Search Engine
 
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