Patent ID: 11889263
Assignee: nan
Field: Audio-visual technology (Electrical engineering)
Classification: CPC H | IPC H

Claim 0:
1. The Space Shaded Constant-Beamwidth Transducer (SSCBT) system comprising:
plurality of drivers arranged so that a radial velocity distribution of an array they form follows a Legendre shading function,
wherein a driver density is proportional to the Legendre shading function,, wherein in SSCBT system an attenuation is not required, and the attenuation is replaced with incremental spacing between the drivers, where spacing can be implemented to achieve more accurate representations of the Legendre function
wherein the number of drivers over a certain angular region is proportional to the velocity of that region which is equal to the Legendre function, n
    
     Δ
     ⁢
     θ
    
   
   ∼
   
    μ
    ⁡
    (
    θ
    )
   
  
  =
  
   
    ρ
    v
   
   (
   
    cos
    ⁢
    
     (
     θ
     )
    
   
   ), wherein, n
  
   Δ
   ⁢
   θ, is the driver density, where n is the number of drivers, over a range of angles angle Δθ, μ(θ) is the radial velocity distribution, ρv(cos(θ)) is the Legendre function of argument x and order v where v>0,, wherein the number of drivers in a given area x1 through x2 is considered to be the average driver density in that area and is equal to the average velocity in that region, n
    ·
    g
   
   
    (
    
     
      x
      2
     
     -
     
      x
      1
     
    
    )
   
  
  =
  
   
    Avg
    ⁡
    (
    
     μ
     ⁡
     (
     x
     )
    
    )
   
   =
   
    
     1
     
      (
      
       
        x
        2
       
       -
       
        x
        1
       
      
      )
     
    
    ⁢
    
     
      ∫
      
       x
       1
      
      
       x
       2
      
     
     
      
       μ
       ⁡
       (
       x
       )
      
      ⁢
      dx, wherein n is the number of driver,, g is the equalizing constant, wherein g is dependent on the total size and total number of drivers of the system,, x1 through x2 are the regions over that area is considered the average driver density in that area,, μ(x) is the velocity.