Convolution of a rectangular impulse train with itself (continuous-time)

Note:

 z(t) and y(t) are periodic CT signals.

 z(t) = 

            ^ z(t)
            |
            |
            |1
        ____|____          ________
       |    |    |        |        |
. . .  |    |    |        |        |  . . .
       |    |    |        |        |
-------+----+----+--------+--------+-------->
       -1   |    1        3        5         t
        -   |    -        -        -
        2   |    2        2        2

 y(t) = z(t) * z(t) 

            ^ y(t)
            |
            | 1    
           /|\       /\       /\
 . . .    / | \     /  \     /  \    . . .
         /  |  \   /    \   /    \
        /   |   \ /      \ /      \
            |               
-------+----+----+--------+--------+-------->
       -1   |    1        3        5         t
            |                       
            |

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