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Digital Projection Projector HIGHlite 740 Series User Manual

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    							page 82
    Reference Guide
    CHOOSING A LENS
    Basic calculation example
    1. Calculate the throw ratio using the formula.
    Your screen is 4.5 m wide and you wish to place the projector 
    approximately 11  m from the screen. The throw ratio will then be
      
    11
    4.5 = 2.44
    2. Match the result with the lens table.
    The lens matching a throw ratio of 2.44 is the 2.17 - 2.90 : 1 
    zoom lens.
    3. Check whether the lens covers the required throw distance. 
    The range quoted for the 2.17 - 2.90 : 1 zoom lens is  2.7 - 15.4 
    m. The required distance of 11 m is within the range.
    Notes
      The basic calculation on this page 
    does not take into consideration 
    DMD™ and image size, which could 
    affect the throw ratio. For a more 
    complex and realistic calculation, 
    see Full lens calculation  in this 
    section.
      For information about individual lens 
    part numbers, see Appendix A at 
    the end of this document.
    INFORMATION YOU NEED FOR THIS CALCULATION
    • The throw ratio formula:
    Throw distanceScreen width
    Throw ratio =
    • The lens table:
    Throw ratios
    Throw distance range
    0.77 : 1 fixed lens 1.3 - 2.5 m (4.3 - 8.2 ft)
    1.16 : 1 fixed lens 1.4 - 6.2 m (4.6 - 20.3 ft)
    1.45 - 1.74 : 1 zoom lens 1.8 - 9.3 m (5.9 - 30.5 ft)
    1.74 - 2.17 : 1 zoom lens 2.2 - 11.8 m (7.2 - 38.7 ft)
    2.17 - 2.90 : 1 zoom lens 2.7 - 15.4 m (8.9 - 50.5 ft)
    2.90 - 4.34 : 1 zoom lens 3.6 - 22.5 m (11.8 - 73.8 ft)
    4.34 - 6.76 : 1 zoom lens 5.5 - 35 m (18 - 115 ft)
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
    							page 83
    Reference Guide
    CHOOSING A LENS
    Full lens calculation
    Introducing TRC
    The choice of lens will affect the image size and will address discrepancies between the 
    DMD™ resolution and the source.
    When an image fills the height of the DMD™ but not the width, it uses less than 100% of 
    the DMD™ surface. A lens chosen using the basic formula may produce an image that is 
    considerably smaller than the actual screen.
    To compensate for loss of screen space in such situations, you need to in\
    crease the throw 
    ratio using a Throw Ratio Correction (TRC).
    Example
    Fig. 1 illustrates a 4:3 image within a 1080p DMD™.
    When a 1080p projector is used for a 4:3 image, the image does not fill the width of the 
    DMD™, creating a pillarboxing effect - blank spaces to the left and right.
    Fig. 2 shows the same image projected on a 4:3 screen using a standard lens (\
    chosen with 
    the basic calculation).
    The DMD™ accurately fills the width of the screen; however, the pillarboxing is now part of the 
    projected image and is transferred to the screen.
    The DMD™ does not fill the height of the screen, which has caused letterboxing - further 
    blank spaces at the top and bottom of the screen.
    The image is now surrounded by blank space, which can be removed if the \
    throw ratio is 
    increased.
    Fig. 3 shows the image projected on the same screen with a lens chosen using\
     TRC.
    The increased throw ratio has allowed the 4:3 image to fill the 4:3 screen seamlessly.
    Notes
     TRC can only be applied if greater 
    than 1. If TRC is 1 or less, disregard 
    it and calculate the throw ratio using 
    the basic formula.
    Fig. 1
    Fig. 2
    Fig. 3
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
    							page 84
    Reference Guide
    CHOOSING A LENS
    Calculating TRC
    To calculate TRC, use the following formula:
    DMD™ aspect ratioSource aspect ratio
    TRC =
    TRC table
    Alternatively, you can save time by referencing the following table, which shows the \
    TRC value for some popular image formats:
    1080pWUXGA
    2.35:1 (Scope), 1920 x 817 pixelsTRC < 1, not usedTRC < 1, not used
    1.85:1 (Flat), 1920 x 1037 pixelsTRC < 1, not usedTRC < 1, not used
    1.78:1 (16:9), 1920 x 1080TRC = 1, not used (native resolution)TRC < 1, not used
    1.66:1 (Vista), 1792 x 1080 pixelsTRC = 1.07TRC < 1, not used
    1.6:1 (16:10), 1728 x 1080 pixelsTRC = 1.11TRC = 1, not used (native resolution)
    1.33:1 (4:3), 1440 x 1080 pixelsTRC = 1.33TRC = 1.2
    1.25:1 (5:4), 1350 x 1080 pixelsTRC = 1.42TRC = 1.28
    Notes
     
    TRC can only be applied if greater 
    than 1. If TRC is 1 or less, disregard 
    it and calculate the throw ratio using 
    the basic formula.
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
    							page 85
    Reference Guide
    CHOOSING A LENS
    Calculating the throw ratio with TRC
    1. For TRC > 1, amend the basic throw ratio formula as follows:
    Throw distance
    Screen width  x TRC
    Throw ratio =
    2. Once a throw ratio is established, identify the matching lens from the t\
    able:
    Throw ratiosThrow distance range
    0.77 : 1 fixed lens1.3 - 2.5 m (4.3 - 8.2 ft)
    1.16 : 1 fixed lens1.4 - 6.2 m (4.6 - 20.3 ft)
    1.45 - 1.74 : 1 zoom lens1.8 - 9.3 m (5.9 - 30.5 ft)
    1.74 - 2.17 : 1 zoom lens2.2 - 11.8 m (7.2 - 38.7 ft)
    2.17 - 2.90 : 1 zoom lens2.7 - 15.4 m (8.9 - 50.5 ft)
    2.90 - 4.34 : 1 zoom lens3.6 - 22.5 m (11.8 - 73.8 ft)
    4.34 - 6.76 : 1 zoom lens5.5 - 35 m (18 - 115 ft)
    3. Ensure the required throw distance is within the range of the matching l\
    ens.
    Notes
     
    TRC can only be applied if greater 
    than 1. If TRC is 1 or less, disregard 
    it and calculate the throw ratio using 
    the basic formula.
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
    							page 86
    Reference Guide
    CHOOSING A LENS
    Full lens calculation example
    Your screen is 4.5 m wide; you wish to place the projector 
    approximately 11  m from the screen. You use a WUXGA 
    projector; the source is 4:3.
    1. Calculate TRC as follows:
    1.6
    1.33
    TRC = = 1.2
    2. Calculate the throw ratio:
    11
    4.5 x 1.2
    Throw ratio = = 2.04
    3. Find a match in the lens table.
    The table shows that the matching lens is the 1.74 - 2.17 : 1 
    zoom lens.
    4. Check whether the lens covers the required throw distance.
    The range quoted for the 1.74 - 2.17 : 1 zoom lens is  2.2 - 
    11.8 m. The required distance of 11 m is within the range.
    Notes
    INFORMATION YOU NEED FOR THESE CALCULATIONS
    • The TRC formula
    • The TRC table (to use instead of the formula)
    WUXGA
    2.35:1 (Scope) TRC not used
    1.85:1 (Flat) TRC not used
    1.78:1 (16:9) TRC not used
    1.66:1 (Vista) TRC not used
    1.6:1 (16:10) TRC not used (native resolution)
    1.33:1 (4:3) TRC = 1.2
    1.25:1 (5:4) TRC = 1.28
    • The throw ratio formula
    • The lens table:
    Throw ratios Throw distance range
    0.77 : 1 fixed lens 1.3 - 2.5 m (4.3 - 8.2 ft)
    1.16 : 1 fixed lens 1.4 - 6.2 m (4.6 - 20.3 ft)
    1.45 - 1.74 : 1 zoom lens 1.8 - 9.3 m (5.9 - 30.5 ft)
    1.74 - 2.17 : 1 zoom lens 2.2 - 11.8 m (7.2 - 38.7 ft)
    2.17 - 2.90 : 1 zoom lens 2.7 - 15.4 m (8.9 - 50.5 ft)
    2.90 - 4.34 : 1 zoom lens 3.6 - 22.5 m (11.8 - 73.8 ft)
    4.34 - 6.76 : 1 zoom lens 5.5 - 35 m (18 - 115 ft)
    DMD™ aspect ratio
    Source aspect ratioTRC =
    Throw distance
    Screen width x TRCThrow ratio =
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
    							page 87
    Reference Guide
    SCREEN REQUIREMENTS
    Screen Requirements
    Fitting the image to the DMD™
    If the source image supplied to the projector is smaller than the DMD™ resolution, the image will not fill the DMD™. The following examples 
    show how a number of common formats may be displayed, depending on your \
    DMD™ resolution.
    1080p images displayed full width
    Notes
    2.35:1(Scope) 
     =  817 pixels
    full width = 1920 pixels
    1.85:1 
     = 1037 pixels
    16:9 = 1.78:1  
    = 1080 pixels 
    (native resolution)
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
    							page 88
    Reference Guide
    SCREEN REQUIREMENTS
    1080p images displayed full heightNotes
    4:3 = 1.33:1 = 1440 pixels
    full height = 1080 pixels
    1.66:1 (Vista) = 1792 pixels16:9 = 1.78:1 = 1920 pixels  
    (native resolution)
    16:10 = 1.6:1 = 1728 pixels
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
    							page 89
    Reference Guide
    SCREEN REQUIREMENTS
    WUXGA images displayed full width
    WUXGA images displayed with a height of  1080 pixels
    full width = 1920 pixels
    2.35:1(Scope)  =  817 pixels
    1.85:1 
     = 1037 pixels
    16:9 = 1.78:1  
    = 1080 pixelsfull height  
    = 1200 pixels
    Notes
    4:3 = 1.33:1 = 1440 pixels
    full height  
    = 1200 pixels
    1.66:1 (Vista) = 1792 pixels 16:10 = 1.6:1 = 1728 pixels
    max possible  image height 
     
    = 1080 pixels
    full width = 1920 pixels
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
    							page 90
    Reference Guide
    SCREEN REQUIREMENTS
    WUXGA images displayed full heightNotes
     Only WUXGA or UXGA images 
    can fill the full height of the DMD ™, 
    using all 1200 pixels without scaling.
     full height = 1200 pixels
    WUXGA = 16:10 = 1.6:1 = 1920 pixels UXGA = 4:3 = 1.33:1 = 1600 pixels
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
    							page 91
    Reference Guide
    SCREEN REQUIREMENTS
    Diagonal screen sizes
    Screen sizes are sometimes specified by their diagonal size (D). When dealing 
    with large screens and projection distances at different aspect ratios, it is more 
    convenient to measure screen width (W) and height (H).
    The example calculations below show how to convert diagonal sizes into w\
    idth and 
    height, at various aspect ratios.   
    2.35:1 (Scope) 
    W = D x 0.92 H = D x 0.39
    1.85:1 
    W = D x 0.88 H = D x 0.47
    16:9 = 1.78:1 (native aspect ratio for 1080p projectors) 
    W = D x 0.87 H = D x 0.49
    1.66:1 (Vista) 
    W = D x 0.86 H = D x 0.52
    16:10 = 1.6:1 (native aspect ratio for WUXGA projectors) 
    W = D x 0.85 H = D x 0.53
    Notes
    D = diagonal
    W = width
    H = height 
       
    Digital Projection HIGHlite 740 Series 
    Rev I Februar y 2015  
    						
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