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Audio rendering: from sound
diffusion to sound projection

Roberto Magalotti, B&C Speakers
Augusto Sarti, Politecnico di Milano
B&C Speakers is...


    ... one of the largest and most prestigious electroacoustic transducer
         manufacturers in the world; designing, developing and manufacturing only for
         the high-end professional audio market under its own ‘B&C Speakers’
         brandname




2                    Roberto Magalotti - Augusto Sarti
Summary

    •    Loudspeakers
          §  A bit if history
          §  Loudspeakers today
    •    Directivity in acoustics
          §  Definition
          §  Specification
          §  Examples
    •    Line arrays in sound reinforcement
          §  In the '50
          §  In the '90
          §  Today
    •    What processing can do
          •  Spatial audio
          •  Acoustic holography
          •  Room compensation
          •  Virtual acoustics
    •    Technological and scientific challenges
3                          Roberto Magalotti - Augusto Sarti
A bit of History…


    •  1857, Antonio Meucci invents the “Telettrofono”, which includes the first
       loudspeaker




    •    “consiste in un diaframma vibrante e in un magnete elettrizzato da un filo a spirale che lo
         avvolge. Vibrando, il diaframma altera la corrente del magnete. Queste alterazioni di
         corrente, trasmesse all'altro capo del filo, imprimono analoghe vibrazioni al diaframma
         ricevente e riproducono la parola”


    •  1876, Alexander Graham Bell patents Meucci’s invention

    The US congress finally recognizes Meucci’s paternity of the invention in 2002

4                        Roberto Magalotti - Augusto Sarti
A bit of History…


    •  1877, Ernst Siemens (Germany) patented the first loudspeaker




    •  1898, Sir Oliver Lodge (England) second patent for a loudspeaker
       (before music was electrified)




5                  Roberto Magalotti - Augusto Sarti
A bit of History…


    •  1924, two General Electric researchers, Chester W. Rice and Edward
       Washburn Kellogg patented the Radiola speakers (moving coil, direct
       radiator loudspeaker)




6                  Roberto Magalotti - Augusto Sarti
A bit of History…


    •  1926, two researchers from Bell Labs, E.C. Wente and A.L. Thuras,
       designed a “phase plug” in front of the membrane of a horn-loaded
       loudspeaker, creating the compression driver




7                  Roberto Magalotti - Augusto Sarti
A bit of History...


    •  1954, Edgar Villchur of Acoustic Research developed the acoustic
       suspension principle for loudspeaker enclosure deisgn




8                  Roberto Magalotti - Augusto Sarti
A bit of History...


    •  1957, Quad ESL marketed as the first full-range electrostatic
       loudspeaker, designed by Peter Walker and David Williamson, based
       on Edward W. Kellogg's patent from 1934




9                 Roberto Magalotti - Augusto Sarti
Loudspeakers today


     •  Permanent magnets have replaced the field coil
         §  AlNiCo ('40)
         §  Ferrites ('50)
         §  Rare Earth ('90)

     •  Voice coils are designed to handle the large electrical power supplied
        from modern amplifiers

     •  Finite Element Analysis is extensively used in all aspects of
        loudspeaker design (acoustics, thermodynamics, electromagnetism,...)

     •  Digital Signal Processing is widely used in loudspeaker system set-up
        and management



10                  Roberto Magalotti - Augusto Sarti
Directivity in acoustics


     •  Definition: radiation pattern in the far field with respect to the source(s)

     •  Far field: the radiation pattern no longer changes with the distance
         §  Several wavelengths form the source
         §  Several times the size of the source




11                   Roberto Magalotti - Augusto Sarti
Specifying directivity

                                                    0°
                                              6

                           330°               0             30°

                                              -6

                                             -12

                                             -18                                         10FCX64
                 300°                                              60°
                                             -24

                                             -30
                                                                                            500 Hz
                                             -36                                Woofer
                                                                                            1 kHz
                                             -42

          270°                               -48                          90°               2 kHz


                                                                                            4 kHz
                                                                                Driver
                                                                                            8 kHz


                 240°                                              120°                     16 kHz




                           210°                             150°


                                                   180°
12                      Roberto Magalotti - Augusto Sarti
Specifying directivity




13                Roberto Magalotti - Augusto Sarti
Specifying directivity




14                Roberto Magalotti - Augusto Sarti
Piston in an infinite baffle




15                 Roberto Magalotti - Augusto Sarti
Piston at the end of a long tube




16                Roberto Magalotti - Augusto Sarti
Unbaffled piston




17               Roberto Magalotti - Augusto Sarti
Curved source (horn)




18               Roberto Magalotti - Augusto Sarti
Directivity shaping with more sources:
            uniform linear array




19                Roberto Magalotti - Augusto Sarti
Directivity shaping with more sources:
            tapered linear array




20                Roberto Magalotti - Augusto Sarti
Directivity shaping with more sources:
        linear array with delays (beam steering)




21                Roberto Magalotti - Augusto Sarti
Line arrays in live audio systems




                      Grateful Dead “Wall of Sound”, 1974

22                Roberto Magalotti - Augusto Sarti
Line arrays in live audio systems




           Point source system                        Line array system
23                Roberto Magalotti - Augusto Sarti
Line arrays, early example:
            Parkin – Taylor 1952




24                Roberto Magalotti - Augusto Sarti
Line arrays, early example:
            Parkin – Taylor 1952




25                Roberto Magalotti - Augusto Sarti
Line arrays, early example:
            Parkin – Taylor 1952




26                Roberto Magalotti - Augusto Sarti
Line arrays:
            V-DOSC by L-Acoustics, 1992




27               Roberto Magalotti - Augusto Sarti
Line arrays:
            V-DOSC by L-Acoustics, 1992




28               Roberto Magalotti - Augusto Sarti
Contemporary line arrays:
          J-shape




29               Roberto Magalotti - Augusto Sarti
Contemporary line arrays:
          MLA by Martin Audio, 2010




30              Roberto Magalotti - Augusto Sarti
Contemporary line arrays:
          MLA by Martin Audio, 2010




                         DISPLAY 2 rendering software
31              Roberto Magalotti - Augusto Sarti
Cardioid subwoofers:
           principle




32               Roberto Magalotti - Augusto Sarti
Cardioid subwoofers:
           in practice




33               Roberto Magalotti - Augusto Sarti
WHAT PROCESSING CAN DO


    Roberto Magalotti - Augusto Sarti
Perceptual cues for 3D audio
        Interaural Time/Level Difference




35                Roberto Magalotti - Augusto Sarti
Perceptual cues for 3D audio
        Head Related Transfer Function




36               Roberto Magalotti - Augusto Sarti
HRTF




37          Roberto Magalotti - Augusto Sarti
Multi-channel audio
        planar rendering (ITD only)




38                Roberto Magalotti - Augusto Sarti
Multi-channel audio
        vector rendering (ITD only)




39                Roberto Magalotti - Augusto Sarti
Beyond ITD


Binaural Rendering




Wavefield Rendering




              Roberto Magalotti - Augusto Sarti
Wavefield synthesis




     Huygens’ principle (1690)
     The wavefield produced by
       a primary source Ψ can
       be reconstructed using a
       distribution of secondary
       sources




41                  Roberto Magalotti - Augusto Sarti
Wavefield Synthesis
       example of focused source




42              Roberto Magalotti - Augusto Sarti
Limits


•  Large number of speakers
•  Hard to go beyond planar rendering
•  Invasive installation




                    Roberto Magalotti - Augusto Sarti
From 2D to 3D…


•  Large number of speakers
•  Hard to go beyond planar rendering
•  Invasive installation




 HoloPlot ModuleMatrix
 (Advanced Acoustic, Potsdam, Germany)
                   Roberto Magalotti - Augusto Sarti
DT solution to reduce invasivity…




45               Roberto Magalotti - Augusto Sarti
Ambisonics
  fundamentals

         Ø  Spherical Harmonic Decomposition : Fourier-Bessel series
               r     ∞
             p(r ) = ∑ j m jm (kr ) ∑ BmnYmn (θ , δ )
                                       σ   σ

                          m =0            0≤ n≤ m,σ =±1                                 Spherical Harmonic functions:

                     o    Sound field represented by coefficients Bmnσ
                     o    = Spherical Harmonic component ó “Ambisonic Signals”
                     o    ópressure field spatial derivatives of successive orders m
                     o    Around a reference point = listener point of view



     Spherical
      Bessel
     Functions:




         Intrinsic quality of representation
                  Using components Bmnσ up to a limited order (m≤M)
                  Angular resolution ó radial expansion % wave length


46                                Roberto Magalotti - Augusto Sarti
Ambisonics rendering

     Wavefield as a linear combination of (a basis of)
     spherical harmonic functions




47                    Roberto Magalotti - Augusto Sarti
Ambisonics rendering

     Wavefield approximation as the order increases




48                   Roberto Magalotti - Augusto Sarti
Ambisonics dome in PoliMI




49               Roberto Magalotti - Augusto Sarti
Commercial ambisonics installations




50               Roberto Magalotti - Augusto Sarti
Commercial ambisonics installations




            Roberto Magalotti - Augusto Sarti
High-order speakers
   Adrian Freed, Peter Kassakian, David Wessel (CNMAT)




      Class-D embedded amplifiers                        §  Embedded ethernet and DSP




                     Roberto Magalotti - Augusto Sarti
Soundfield sythesis: goals



      • Render	
  a	
  virtual	
  acous0c	
  source	
  using	
  a	
  loudspeaker	
  array	
  
      • Render	
  the	
  acous0cs	
  of	
  a	
  virtual	
  environment	
  
      • Compensate	
  for	
  the	
  early	
  reflec0ons	
  of	
  the	
  environment	
  in	
  which	
  the	
  
      loudspeaker	
  array	
  is	
  opera0ng	
  (“room	
  compensa0on”)	
  
      • Exploit	
  the	
  early	
  reflec0ons	
  of	
  the	
  real	
  environment,	
  e.g.	
  	
  for	
  a	
  virtual	
  home	
  
      theater	
  system	
  




53                           Roberto Magalotti - Augusto Sarti
Rendering virtual acoustic sources

     Beamshaping	
   Goal:	
  
     •  Rendering	
  of	
  a	
  virtual	
  source	
  along	
  with	
  its	
  radia0on	
  paDern	
  in	
  a	
  listening	
  region,	
  by	
  
          means	
  of	
  a	
  loudspeaker	
  array	
  
     •    Focus	
  on	
  direc0onal	
  sources,	
  modeled	
  as	
  beams	
  
     •    Need	
  to	
  control:	
  
              •      Source	
  posi0on	
  
              •      Direc0on	
  of	
  emission	
  
              •      Beam	
  aperture	
  

                               loudspeakers
                                          	
  




       virtual	
  
       source 	
                                       listening	
  region	
  




54                                   Roberto Magalotti - Augusto Sarti
Virtual	
  environment	
  rendering	
  




       Wave	
  field	
  modeled	
  as	
  the	
  superposi0on	
  of	
  
       elementary	
  beams	
  (geometrical	
  acous0cs)	
  




                                                                          Use	
  loudspeakers	
  for	
  
                                                                        synthesizing	
  elementary	
  
                                                                                    beams 	
  



55                              Roberto Magalotti - Augusto Sarti
Virtual	
  environment	
  rendering	
  



     •    Image	
  sources	
  are	
  suitable	
  only	
  in	
  
          simple	
  convex	
  environments	
  
     •    Visibility	
  tests	
  are	
  very	
  0me	
  demanding	
  
     •    A	
  convenient	
  solu0on	
  is	
  beam	
  tracing,	
  
          which	
  compute	
  visibility	
  very	
  efficiently	
  




56                                 Roberto Magalotti - Augusto Sarti
Virtual	
  environment	
  rendering	
  

                                                  Examples
                                                         	
  




                                                                     	
  	
  	
  	
  	
  	
  NMSE	
  (%):
                                                                                                        	
  
                                                                	
  500	
  Hz	
  	
  à	
  7.4	
  %          	
  
                                                                1000	
  Hz	
  à	
  7.9	
  %                 	
  




                                                                     	
  	
  	
  	
  	
  	
  NMSE	
  (%):
                                                                                                        	
  
                                                                	
  500	
  Hz	
  	
  à	
  5.1	
  %          	
  
                                                                1000	
  Hz	
  à	
  5.3	
  %                 	
  




57                     Roberto Magalotti - Augusto Sarti
Virtual environment rendering
          in reverberant rooms

     •  Loudspeakers	
  operate	
  in	
  an	
  arbitrary	
  reverberant	
  room	
  
     •  Image	
  loudspeakers	
  determined	
  through	
  beam-­‐tracing	
  
     •  Room	
  compensa0on	
  enables	
  a	
  free-­‐field	
  behaviour	
  of	
  the	
  
         beam	
  shaping	
  




         •  Design	
  of	
  a	
  virtual	
  environment	
  to	
  be	
  rendered…	
  
         •  …	
  and	
  rendering	
  through	
  superposi0on	
  of	
  beams	
  
58                               Roberto Magalotti - Augusto Sarti
Environment-­‐aware	
  virtual	
  environment	
  rendering	
  
	
  




                                              Free-­‐field	
  wf	
      Non-­‐compensated	
     Room-­‐compensated	
  
     Desired	
  wave	
  field	
                  rendering    	
          wf	
  rendering	
        wf	
  rendering	
  




59                                 Roberto Magalotti - Augusto Sarti
Exploi5ng	
  the	
  environment

                                                                      image	
  array	
            image	
  array	
  
                                                                       (first	
  order)
                                                                                     	
            (first	
  order)
                                                                                                                 	
  



       …	
  is	
  it	
  possible	
  to	
  think	
  at	
  the	
  
     environment	
  as	
  an	
  “augmented”	
  
                    rendering	
  system?           	
  


       IDEA:	
  use	
  the	
  walls	
  (i.e.,	
  image	
  
     loudspeakers)	
  to	
  increase	
  the	
  array       	
  


         Applica0on:	
  simula0on	
  of	
  a	
  5.1	
  
         surround	
  system	
  [Canclini2012]      	
  




                                                                    image	
  array	
           image	
  array	
  
                                                                   (second	
  order)   	
     (second	
  order)   	
  




60                                    Roberto Magalotti - Augusto Sarti
Exploiting the environment

             Environment-­‐aware	
                                    What	
  about	
  undesired	
  reflec0ons?	
  
                                                                                                              	
  
             virtual	
  5.1	
  surround	
                                   Desired	
  response	
            Actual	
  response	
  




         L                                      R
                RL	
                   RR	
  
                             C




                                                                       We	
  can	
  introduce,	
  again,	
  room	
  
                                                                      compensa0on	
  (slightly	
  modified):          	
  
                                                             G des = G roomC
                                                             ˆ
                                                             C = (GT roomGT room ) −1 GT roomG
                    listening	
  area	
                                                                                    des

                                                                    Compensated    	
  
                                                                loudspeaker	
  gains
                                                                                   	
  
                                                                                                   ˆ
                                                                                          h comp = Ch ff
61                                Roberto Magalotti - Augusto Sarti
Exploiting the environment

     Example:	
  reproduc0on	
  of	
  the	
  rear-­‐right	
  channel
                                                                   	
  


                                                                 Desired	
     Non-­‐compensated	
     Room-­‐compensated	
  




                                            RR	
  




                    listening	
  area	
  




62                                 Roberto Magalotti - Augusto Sarti
Exploiting the environment




63               Roberto Magalotti - Augusto Sarti
Technological challenges


     •  Pervasive but non-invasive audio
         •  Immersive experience
         •  Contained within the environment
         •  Acoustic displays should not “take over” but should seamlessly
            integrate with the surroundings
     •  Design constraints
         •  slim, compact, …in the wrong place
     •  High quality expectations




64                  Roberto Magalotti - Augusto Sarti
Professional-grade solutions




65               Roberto Magalotti - Augusto Sarti
Consumer-oriented solutions
       MEMS loudspeakers




66               Roberto Magalotti - Augusto Sarti
67   Roberto Magalotti - Augusto Sarti
Lightness



     “La seconda rivoluzione industriale non si presenta come la prima con immagini schiaccianti
         quali presse di laminatoi o colate d'acciaio, ma come i bit di un flusso d'informazione che
         corre sui circuiti sotto forma di impulsi elettronici. Le macchine di ferro ci sono sempre,
         ma obbediscono ai bit senza peso.”




68                      Roberto Magalotti - Augusto Sarti
Quickness



       “Sogno immense cosmologie, saghe ed epopee racchiuse nelle dimensioni di un epigramma.
          Nei tempi sempre più congestionati che ci attendono, il bisogno di letteratura dovrà
          puntare sulla massima concentrazione della poesia e del pensiero.”




     •  IPAL (Integrated Powered Adaptive Loudspeaker)
          §  Virtual Parameter
         §  Direct Pressure Control
         §  Processing Time: 10 µs




69                      Roberto Magalotti - Augusto Sarti
Exactitude


     “…il giusto uso del linguaggio per me è quello che permette di avvicinarsi alle cose (presenti
        o assenti) con discrezione e attenzione e cautela, col rispetto di ciò che le cose (presenti
        o assenti) comunicano senza parole.”




70                      Roberto Magalotti - Augusto Sarti
Exactitude


     “…il giusto uso del linguaggio per me è quello che permette di avvicinarsi alle cose (presenti
        o assenti) con discrezione e attenzione e cautela, col rispetto di ciò che le cose (presenti
        o assenti) comunicano senza parole.”




71                      Roberto Magalotti - Augusto Sarti
Visibility


     “La mente del poeta e, in qualche momento decisivo, la mente dello scienziato, funzionano
         secondo un proceimento di associazioni di immagine che è il sistema più veloce di
         collegare e scegliere tra le infinite forme del possibile e dell’impossibile.”




72                     Roberto Magalotti - Augusto Sarti
Multiplicity


     “Ogni vita è un’enciclopedia, una biblioteca, un inventario di oggetti, un campionario di stili,
        dove tutto può essere continuamente rimescolato e riordinato in tutti i modi possibili.”



     •  Home systems
         §  From 2-ch stereo...
         §  ...to multichannel and sound bars
     •  Cinema Sound
         §  From 5.1, 7.1, 10.1, 22.2....
         §  ...to 3D Sound (Dolby Atmos)




73                      Roberto Magalotti - Augusto Sarti

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Audio rendering: from sound diffusion to sound projection

  • 1. Audio rendering: from sound diffusion to sound projection Roberto Magalotti, B&C Speakers Augusto Sarti, Politecnico di Milano
  • 2. B&C Speakers is... ... one of the largest and most prestigious electroacoustic transducer manufacturers in the world; designing, developing and manufacturing only for the high-end professional audio market under its own ‘B&C Speakers’ brandname 2 Roberto Magalotti - Augusto Sarti
  • 3. Summary •  Loudspeakers §  A bit if history §  Loudspeakers today •  Directivity in acoustics §  Definition §  Specification §  Examples •  Line arrays in sound reinforcement §  In the '50 §  In the '90 §  Today •  What processing can do •  Spatial audio •  Acoustic holography •  Room compensation •  Virtual acoustics •  Technological and scientific challenges 3 Roberto Magalotti - Augusto Sarti
  • 4. A bit of History… •  1857, Antonio Meucci invents the “Telettrofono”, which includes the first loudspeaker •  “consiste in un diaframma vibrante e in un magnete elettrizzato da un filo a spirale che lo avvolge. Vibrando, il diaframma altera la corrente del magnete. Queste alterazioni di corrente, trasmesse all'altro capo del filo, imprimono analoghe vibrazioni al diaframma ricevente e riproducono la parola” •  1876, Alexander Graham Bell patents Meucci’s invention The US congress finally recognizes Meucci’s paternity of the invention in 2002 4 Roberto Magalotti - Augusto Sarti
  • 5. A bit of History… •  1877, Ernst Siemens (Germany) patented the first loudspeaker •  1898, Sir Oliver Lodge (England) second patent for a loudspeaker (before music was electrified) 5 Roberto Magalotti - Augusto Sarti
  • 6. A bit of History… •  1924, two General Electric researchers, Chester W. Rice and Edward Washburn Kellogg patented the Radiola speakers (moving coil, direct radiator loudspeaker) 6 Roberto Magalotti - Augusto Sarti
  • 7. A bit of History… •  1926, two researchers from Bell Labs, E.C. Wente and A.L. Thuras, designed a “phase plug” in front of the membrane of a horn-loaded loudspeaker, creating the compression driver 7 Roberto Magalotti - Augusto Sarti
  • 8. A bit of History... •  1954, Edgar Villchur of Acoustic Research developed the acoustic suspension principle for loudspeaker enclosure deisgn 8 Roberto Magalotti - Augusto Sarti
  • 9. A bit of History... •  1957, Quad ESL marketed as the first full-range electrostatic loudspeaker, designed by Peter Walker and David Williamson, based on Edward W. Kellogg's patent from 1934 9 Roberto Magalotti - Augusto Sarti
  • 10. Loudspeakers today •  Permanent magnets have replaced the field coil §  AlNiCo ('40) §  Ferrites ('50) §  Rare Earth ('90) •  Voice coils are designed to handle the large electrical power supplied from modern amplifiers •  Finite Element Analysis is extensively used in all aspects of loudspeaker design (acoustics, thermodynamics, electromagnetism,...) •  Digital Signal Processing is widely used in loudspeaker system set-up and management 10 Roberto Magalotti - Augusto Sarti
  • 11. Directivity in acoustics •  Definition: radiation pattern in the far field with respect to the source(s) •  Far field: the radiation pattern no longer changes with the distance §  Several wavelengths form the source §  Several times the size of the source 11 Roberto Magalotti - Augusto Sarti
  • 12. Specifying directivity 0° 6 330° 0 30° -6 -12 -18 10FCX64 300° 60° -24 -30 500 Hz -36 Woofer 1 kHz -42 270° -48 90° 2 kHz 4 kHz Driver 8 kHz 240° 120° 16 kHz 210° 150° 180° 12 Roberto Magalotti - Augusto Sarti
  • 13. Specifying directivity 13 Roberto Magalotti - Augusto Sarti
  • 14. Specifying directivity 14 Roberto Magalotti - Augusto Sarti
  • 15. Piston in an infinite baffle 15 Roberto Magalotti - Augusto Sarti
  • 16. Piston at the end of a long tube 16 Roberto Magalotti - Augusto Sarti
  • 17. Unbaffled piston 17 Roberto Magalotti - Augusto Sarti
  • 18. Curved source (horn) 18 Roberto Magalotti - Augusto Sarti
  • 19. Directivity shaping with more sources: uniform linear array 19 Roberto Magalotti - Augusto Sarti
  • 20. Directivity shaping with more sources: tapered linear array 20 Roberto Magalotti - Augusto Sarti
  • 21. Directivity shaping with more sources: linear array with delays (beam steering) 21 Roberto Magalotti - Augusto Sarti
  • 22. Line arrays in live audio systems Grateful Dead “Wall of Sound”, 1974 22 Roberto Magalotti - Augusto Sarti
  • 23. Line arrays in live audio systems Point source system Line array system 23 Roberto Magalotti - Augusto Sarti
  • 24. Line arrays, early example: Parkin – Taylor 1952 24 Roberto Magalotti - Augusto Sarti
  • 25. Line arrays, early example: Parkin – Taylor 1952 25 Roberto Magalotti - Augusto Sarti
  • 26. Line arrays, early example: Parkin – Taylor 1952 26 Roberto Magalotti - Augusto Sarti
  • 27. Line arrays: V-DOSC by L-Acoustics, 1992 27 Roberto Magalotti - Augusto Sarti
  • 28. Line arrays: V-DOSC by L-Acoustics, 1992 28 Roberto Magalotti - Augusto Sarti
  • 29. Contemporary line arrays: J-shape 29 Roberto Magalotti - Augusto Sarti
  • 30. Contemporary line arrays: MLA by Martin Audio, 2010 30 Roberto Magalotti - Augusto Sarti
  • 31. Contemporary line arrays: MLA by Martin Audio, 2010 DISPLAY 2 rendering software 31 Roberto Magalotti - Augusto Sarti
  • 32. Cardioid subwoofers: principle 32 Roberto Magalotti - Augusto Sarti
  • 33. Cardioid subwoofers: in practice 33 Roberto Magalotti - Augusto Sarti
  • 34. WHAT PROCESSING CAN DO Roberto Magalotti - Augusto Sarti
  • 35. Perceptual cues for 3D audio Interaural Time/Level Difference 35 Roberto Magalotti - Augusto Sarti
  • 36. Perceptual cues for 3D audio Head Related Transfer Function 36 Roberto Magalotti - Augusto Sarti
  • 37. HRTF 37 Roberto Magalotti - Augusto Sarti
  • 38. Multi-channel audio planar rendering (ITD only) 38 Roberto Magalotti - Augusto Sarti
  • 39. Multi-channel audio vector rendering (ITD only) 39 Roberto Magalotti - Augusto Sarti
  • 40. Beyond ITD Binaural Rendering Wavefield Rendering Roberto Magalotti - Augusto Sarti
  • 41. Wavefield synthesis Huygens’ principle (1690) The wavefield produced by a primary source Ψ can be reconstructed using a distribution of secondary sources 41 Roberto Magalotti - Augusto Sarti
  • 42. Wavefield Synthesis example of focused source 42 Roberto Magalotti - Augusto Sarti
  • 43. Limits •  Large number of speakers •  Hard to go beyond planar rendering •  Invasive installation Roberto Magalotti - Augusto Sarti
  • 44. From 2D to 3D… •  Large number of speakers •  Hard to go beyond planar rendering •  Invasive installation HoloPlot ModuleMatrix (Advanced Acoustic, Potsdam, Germany) Roberto Magalotti - Augusto Sarti
  • 45. DT solution to reduce invasivity… 45 Roberto Magalotti - Augusto Sarti
  • 46. Ambisonics fundamentals Ø  Spherical Harmonic Decomposition : Fourier-Bessel series r ∞ p(r ) = ∑ j m jm (kr ) ∑ BmnYmn (θ , δ ) σ σ m =0 0≤ n≤ m,σ =±1 Spherical Harmonic functions: o  Sound field represented by coefficients Bmnσ o  = Spherical Harmonic component ó “Ambisonic Signals” o  ópressure field spatial derivatives of successive orders m o  Around a reference point = listener point of view Spherical Bessel Functions: Intrinsic quality of representation Using components Bmnσ up to a limited order (m≤M) Angular resolution ó radial expansion % wave length 46 Roberto Magalotti - Augusto Sarti
  • 47. Ambisonics rendering Wavefield as a linear combination of (a basis of) spherical harmonic functions 47 Roberto Magalotti - Augusto Sarti
  • 48. Ambisonics rendering Wavefield approximation as the order increases 48 Roberto Magalotti - Augusto Sarti
  • 49. Ambisonics dome in PoliMI 49 Roberto Magalotti - Augusto Sarti
  • 50. Commercial ambisonics installations 50 Roberto Magalotti - Augusto Sarti
  • 51. Commercial ambisonics installations Roberto Magalotti - Augusto Sarti
  • 52. High-order speakers Adrian Freed, Peter Kassakian, David Wessel (CNMAT) Class-D embedded amplifiers §  Embedded ethernet and DSP Roberto Magalotti - Augusto Sarti
  • 53. Soundfield sythesis: goals • Render  a  virtual  acous0c  source  using  a  loudspeaker  array   • Render  the  acous0cs  of  a  virtual  environment   • Compensate  for  the  early  reflec0ons  of  the  environment  in  which  the   loudspeaker  array  is  opera0ng  (“room  compensa0on”)   • Exploit  the  early  reflec0ons  of  the  real  environment,  e.g.    for  a  virtual  home   theater  system   53 Roberto Magalotti - Augusto Sarti
  • 54. Rendering virtual acoustic sources Beamshaping   Goal:   •  Rendering  of  a  virtual  source  along  with  its  radia0on  paDern  in  a  listening  region,  by   means  of  a  loudspeaker  array   •  Focus  on  direc0onal  sources,  modeled  as  beams   •  Need  to  control:   •  Source  posi0on   •  Direc0on  of  emission   •  Beam  aperture   loudspeakers   virtual   source   listening  region   54 Roberto Magalotti - Augusto Sarti
  • 55. Virtual  environment  rendering   Wave  field  modeled  as  the  superposi0on  of   elementary  beams  (geometrical  acous0cs)   Use  loudspeakers  for   synthesizing  elementary   beams   55 Roberto Magalotti - Augusto Sarti
  • 56. Virtual  environment  rendering   •  Image  sources  are  suitable  only  in   simple  convex  environments   •  Visibility  tests  are  very  0me  demanding   •  A  convenient  solu0on  is  beam  tracing,   which  compute  visibility  very  efficiently   56 Roberto Magalotti - Augusto Sarti
  • 57. Virtual  environment  rendering   Examples              NMSE  (%):    500  Hz    à  7.4  %   1000  Hz  à  7.9  %              NMSE  (%):    500  Hz    à  5.1  %   1000  Hz  à  5.3  %   57 Roberto Magalotti - Augusto Sarti
  • 58. Virtual environment rendering in reverberant rooms •  Loudspeakers  operate  in  an  arbitrary  reverberant  room   •  Image  loudspeakers  determined  through  beam-­‐tracing   •  Room  compensa0on  enables  a  free-­‐field  behaviour  of  the   beam  shaping   •  Design  of  a  virtual  environment  to  be  rendered…   •  …  and  rendering  through  superposi0on  of  beams   58 Roberto Magalotti - Augusto Sarti
  • 59. Environment-­‐aware  virtual  environment  rendering     Free-­‐field  wf   Non-­‐compensated   Room-­‐compensated   Desired  wave  field   rendering   wf  rendering   wf  rendering   59 Roberto Magalotti - Augusto Sarti
  • 60. Exploi5ng  the  environment image  array   image  array   (first  order)   (first  order)   …  is  it  possible  to  think  at  the   environment  as  an  “augmented”   rendering  system?   IDEA:  use  the  walls  (i.e.,  image   loudspeakers)  to  increase  the  array   Applica0on:  simula0on  of  a  5.1   surround  system  [Canclini2012]   image  array   image  array   (second  order)   (second  order)   60 Roberto Magalotti - Augusto Sarti
  • 61. Exploiting the environment Environment-­‐aware   What  about  undesired  reflec0ons?     virtual  5.1  surround   Desired  response   Actual  response   L R RL   RR   C We  can  introduce,  again,  room   compensa0on  (slightly  modified):   G des = G roomC ˆ C = (GT roomGT room ) −1 GT roomG listening  area   des Compensated   loudspeaker  gains   ˆ h comp = Ch ff 61 Roberto Magalotti - Augusto Sarti
  • 62. Exploiting the environment Example:  reproduc0on  of  the  rear-­‐right  channel   Desired   Non-­‐compensated   Room-­‐compensated   RR   listening  area   62 Roberto Magalotti - Augusto Sarti
  • 63. Exploiting the environment 63 Roberto Magalotti - Augusto Sarti
  • 64. Technological challenges •  Pervasive but non-invasive audio •  Immersive experience •  Contained within the environment •  Acoustic displays should not “take over” but should seamlessly integrate with the surroundings •  Design constraints •  slim, compact, …in the wrong place •  High quality expectations 64 Roberto Magalotti - Augusto Sarti
  • 65. Professional-grade solutions 65 Roberto Magalotti - Augusto Sarti
  • 66. Consumer-oriented solutions MEMS loudspeakers 66 Roberto Magalotti - Augusto Sarti
  • 67. 67 Roberto Magalotti - Augusto Sarti
  • 68. Lightness “La seconda rivoluzione industriale non si presenta come la prima con immagini schiaccianti quali presse di laminatoi o colate d'acciaio, ma come i bit di un flusso d'informazione che corre sui circuiti sotto forma di impulsi elettronici. Le macchine di ferro ci sono sempre, ma obbediscono ai bit senza peso.” 68 Roberto Magalotti - Augusto Sarti
  • 69. Quickness “Sogno immense cosmologie, saghe ed epopee racchiuse nelle dimensioni di un epigramma. Nei tempi sempre più congestionati che ci attendono, il bisogno di letteratura dovrà puntare sulla massima concentrazione della poesia e del pensiero.” •  IPAL (Integrated Powered Adaptive Loudspeaker) §  Virtual Parameter §  Direct Pressure Control §  Processing Time: 10 µs 69 Roberto Magalotti - Augusto Sarti
  • 70. Exactitude “…il giusto uso del linguaggio per me è quello che permette di avvicinarsi alle cose (presenti o assenti) con discrezione e attenzione e cautela, col rispetto di ciò che le cose (presenti o assenti) comunicano senza parole.” 70 Roberto Magalotti - Augusto Sarti
  • 71. Exactitude “…il giusto uso del linguaggio per me è quello che permette di avvicinarsi alle cose (presenti o assenti) con discrezione e attenzione e cautela, col rispetto di ciò che le cose (presenti o assenti) comunicano senza parole.” 71 Roberto Magalotti - Augusto Sarti
  • 72. Visibility “La mente del poeta e, in qualche momento decisivo, la mente dello scienziato, funzionano secondo un proceimento di associazioni di immagine che è il sistema più veloce di collegare e scegliere tra le infinite forme del possibile e dell’impossibile.” 72 Roberto Magalotti - Augusto Sarti
  • 73. Multiplicity “Ogni vita è un’enciclopedia, una biblioteca, un inventario di oggetti, un campionario di stili, dove tutto può essere continuamente rimescolato e riordinato in tutti i modi possibili.” •  Home systems §  From 2-ch stereo... §  ...to multichannel and sound bars •  Cinema Sound §  From 5.1, 7.1, 10.1, 22.2.... §  ...to 3D Sound (Dolby Atmos) 73 Roberto Magalotti - Augusto Sarti