# User:The Lamb of God/sandbox-MRTD

### Manual test

An operator uses a series of 4-bar targets of different spatial frequencies. For each target he/she adjusts the blackbody, (source of Infrared radiation), temperature up and down untill the pattern is "just resolvable." The positive and negative temperature differences are inputed into a two dimensional array. The corresponding spatial frequencies used in each test are also inputed into an array. The MRTD curve is a plot of these arrays (just resolvable temperature difference versus target spatial frequency). From the experimental MRTD curve, a general polynomial best fit is calculated and the result of the MRTD polynomial best fit is found.[1]

#### Calculations

${\displaystyle F(x)={\frac {\Delta \,t(i)}{f_{s}(i)}}}$

• ${\displaystyle \Delta \,t(i)}$ = array of just resolvable temperature differences
• ${\displaystyle f_{s}(i)\,\!}$ = array of spatial frequences
• ${\displaystyle F(x)\,\!}$ = MRTD curve
##### MRTD polynomial best fit

${\displaystyle f_{i}=\sum _{j=0}^{m-1}a_{j}x_{i}^{j}\qquad \qquad }$

• ${\displaystyle f\,\!}$ = output sequence best fit
• ${\displaystyle x\,\!}$ = input array of X values
• ${\displaystyle a_{j}\,\!}$ = best fit polynomial coefficients
• ${\displaystyle m\,\!}$ = polynomial order
• ${\displaystyle y\,\!}$ = input array of Y values
• ${\displaystyle n\,\!}$ = number of data points
• ^ EO TestLab Methodology