'/' used for creating an axis, DFT

How does building an axis in that way: 'freq= [-pi+pi/L:2*pi/L:pi-pi/L];' work exactly? Why so many '/' signs and what do they exactly do? DFT

Answer 1

[Star Strider]

This assignment:

freq = [-pi+pi/L:2*pi/L:pi-pi/L];

is apparently for a two-sided Fourier transform, where ‘L’ is the length of the Fourier transform vector. The increment of the vector is ‘pi/L’, where the ‘/’ is right division (specifically, ‘matrix right division’, see the mrdivide (link) documentation for details). The vector goes from ( -pi + the increment ) to ( pi - the increment ). Supply an integer value for ‘L’ and run that line to see how it works.

Answer 2

[Steven Lord]

The / operator performs division.

>> x = 1/3
x =
         0.333333333333333

The colon operator : creates a vector.

>> from1To7InStepsOf2 = 1:2:7
from1To7InStepsOf2 =
     1     3     5     7