HLG Reference EOTF Calculator

Calculate the rendered luminance of an achromatic HLG signal for a nominal HLG display peak and viewing surround.

Results

Evaluated HLG Signal
Surround Luminance (LS)
Black Level Lift (β)
Peak LW Adjusted Gamma (Base)
Surround Gamma Factor (EBU R 167)
Effective System Gamma
HDR Reference White Luminance (75% HLG)

Display

Enter the measured achromatic luminance produced by a nominal 100% HLG signal in the exact display mode and window size being modeled. Do not substitute an advertised HDR peak, EDID/CTA maximum, Windows HDR Calibration maximum, or PQ review measurement unless it has been verified to equal the display's nominal 100% HLG output. For EBU R 167 extended modes such as "1000ext", enter the nominal Lw (1000), not the brighter 109% output.

Viewing Environment

Typical Values (ITU-R BT.2408-9 Table 5): - Office (Sunny Day): 130 Lux - Office (Cloudy Day): 75 Lux - Edit Suite: 50 Lux - Grading Suite: 25 Lux - Prod. Gallery/Dark Grading: 3 Lux (Perpendicular to the monitor surface)
Common Reflectivity Estimates: - Fresh Matte White Wall: ~0.8 to 0.9 - Light Grey / Off-White Wall: ~0.6 to 0.7 - ITU-R BT.2408-9 Table 5 assumes approximately 0.6 for light-coloured walls. - This estimate uses Ls = illuminance × reflectivity / π and assumes a diffuse Lambertian surround. - 18% Grey Card: 0.18 - Darker surfaces have lower values.
Advanced Settings
ITU-R BT.2408-9 identifies 75% HLG as the nominal HDR Reference White signal. A custom value is evaluated as an arbitrary HLG signal level; it is not automatically a new paper-white recommendation. The reference default is 75%. The accepted limits are the EBU R 103 10-bit total video range, normalized against narrow-range black (code 64) and nominal white (code 940): −6.849315% (code 4) to 109.018265% (code 1019). Negative sub-black values are retained through the BT.2100 black-lift stage for PLUGE evaluation.
Enter the measured minimum visible display luminance in the viewing conditions being modeled. BT.2100 references PLUGE alignment for determining LB. A value of 0 uses the idealized reference calculation with no black-level lift and is the reference default. The published low-light β expression reproduces LB only while β ≤ 0.5. The calculator rejects larger black levels instead of silently applying the wrong inverse-OETF branch.
Calculates and displays the luminance produced by the 109.018% HLG total-range maximum, based on the current LW (for 100% signal) and system gamma. This utilizes the "super-white" headroom defined in EBU R 103. The value conventionally called 109% is exactly (1019−64)/(940−64) for 10-bit narrow range.
ITU-R BT.2100-3 Note 5f specifies a piecewise function for System Gamma based on Display Peak Luminance: one formula for the 400-2000 cd/m² range and an 'extended' formula for values outside this range. Enabling this option forces the continuous 'extended' formula (γ = 1.2 × κ^(log2(Lw/1000))) across all peak luminance values. Strict mode follows the published range selection; because the two formulas are not exactly equal, small jumps at 400 and 2000 cd/m² are expected. The forced extended mode avoids those jumps but deviates from the strict range recommendation.