a = x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 = 1 1 1 1 1 1 -1 -1 1 -1 1 -1 1 -1 -1 1 PSC = 1 + j a a a -a -a a -a -a a a a -a a -a a a
To find the value of PSC, we need to multiply each element of the vector a by (1 + j) and sum them up.
PSC = (1 + j) * (1) + (1 + j) * (1) + (1 + j) * (1) + (1 + j) * (-1) + (1 + j) * (-1) + (1 + j) * (1) + (1 + j) * (-1) + (1 + j) * (-1) + (1 + j) * (1) + (1 + j) * (-1) + (1 + j) * (1) + (1 + j) * (-1) + (1 + j) * (1) + (1 + j) * (-1) + (1 + j) * (-1) + (1 + j) * (1)
Simplifying this expression, we get:
PSC = 16 + 16j
Therefore, PSC = 16 + 16j.
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