Question: Question: We need a three-stage time-space-time switch with N = 100. We use 10 TSIs at the first and third stages and 4 crossbars at

Question:

We need a three-stage time-space-time switch with N = 100. We use 10 TSIs at the first and third stages and 4 crossbars at the middle stage.

a. Draw the configuration diagram.

b. Calculate the total number of crosspoints.

c. Calculate the total number of memory locations we need for the TSIs.

Question: We need a three-stage time-space-time switch with N = 100. We

We first solve the problem using only crossbars and then we replace the crossbars at the first and the last stage with TSIs. Figure 8.1 shows the solution using only crossbars. We can replace the crossbar at the first and third stages with TSIs as shown in Figure 8.4. The total number of crosspoints is 400 and the total number of memory locations is 200. Each TSI at the first stage needs one TDM multiplexer and one TDM demultiplexer. The multiplexer is 10 1, but the demultiplexer is 1 4. In other words, the input frame has 10 slots and the output frame has only 4 slots. The data in the first slot of all input TSIs are directed to the first switch, the output in the second slot are directed to the second switch, and so on.

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This is the answer that was given on chegg. BUT I have no idea how they got the answer for (b) and (c) . Can someone explain how they got 400 for the total number of crosspoints and 200 for total number of memory locations mathmatically?

10 TSl 10 TSls 4 Crossbars 10101 10x10 1010 10 10 Stage 1 Stage 2 Stage 3

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