MI HW $3$ #$3$

PLEASE USE MATLAB OR EXCEL AND EXPLAIN THE WORK

Consider an Anger camera with $9$ square phot$-$multiplier tubes arranged in a $3x3$ matrix with pulse heights as

recorded in the matrix. The dimension of each pixel is $2mm2mm.$ What is the centroid of the signal $(x$ and $y$

coordinates$)?$ What is the total pulse height.

Pulse height $($amplitude$)$ in each PMT

$510,15$

$1040,30$

$0510$

Spatial $($x$,$y$)$ Coordinates of each PMT $($in mm$)$

$-2,2,0,2,2,2$

$-2,0,0,0,2,0$

$-2,-2,0,-2,2,-2$