MATLAB: Selecting mid points

midpoint

I have a values
F=[3 5 6 15 17 21 35 45 46 51 56 57 66 70 71 ]
now i want to calculate the mid points that is
i have to take 2 values that is(3,5)and (5,6) cal mid point(4,5.5)
next (5,6),(6,15) mid point is(5.5,10.5)
(6,15)and(15,17) mid point(10.5,16)
(15,17)and(17,21) mid point is(16,19)
and so on
please help

Best Answer

Use convolution (a sliding window filter), conv():
F=[3 5 6 15 17 21 35 45 46 51 56 57 66 70 71 ]
F_mid = conv(F, [0.5 0.5], 'valid')
Results:
F =
     3     5     6    15    17    21    35    45    46    51    56    57    66    70    71
f_mid =
  Columns 1 through 12
    4.0000    5.5000   10.5000   16.0000   19.0000   28.0000   40.0000   45.5000   48.5000   53.5000   56.5000   61.5000
  Columns 13 through 14
   68.0000   70.5000
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