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.

Calculations

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

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

MRTD polynomial best fit

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

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