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Sketch a 3-stage space division switch N=15, group size of n=5, K=2, what is the condition required to make it non-blocking? For the same specifications sketch three stage TST switch using TSI modules
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Given: N=15, n= 5, k=2

To find:

  1. Number of crosspoints.
  2. Minimum no of crosspoints to make the switch nonblocking.

    1. Number of crosspoints for a non-blocking switch:

      Number of crosspoints= $2N(2n-1)+(2n-1)N^2/n^2 =2 x 15(10-1)+(10-1)(15)^2/(5)^2 \\ \hspace{5.2cm} = 351$

    2. Minimum number of crosspoints: Minimum number of crosspoints

      $ = 4N[(2n)^{1/2} -1] \\ =4x 15[(10)^{1/2}-1] \\ =130$

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