Question: It's about quantum optics. I am confusing the relation between a characteristic func. and Wigner func. Please show me how to solve them Characteristic function

It's about quantum optics. I am confusing the relation between a characteristic func. and Wigner func.
Please show me how to solve them

Characteristic function C(A) = Tr(pD(a)) and Wigner function. (i) Calculate characteristic function of coherent state a). (ii) Calculate Wigner function of the coherent state a)
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