What kind of pdf dose the one that is the output of the inner product
of two random vector have? One of two random vectors,  x, is
independently and identically distributed by the pdf of complex
Gaussian pdf with the mean of unity for each element , and the other
vector, w,  is derived from the vector, y,  with the pdf of
independently and identically complex Gaussian in each element as
follows

w = y / ||y||.

Then we can denote their inner product simply as

a = <w,x>

where <w,x> denotes inner product of two input vectors. The question
can be represented again by using of this question as follow: what is
the pdf of this output variable a? 

Thank you in advance.

BR,
James Sungjin Kim ([EMAIL PROTECTED])
BR,
------
James K. ([EMAIL PROTECTED])
- Any remarks, proposal and/or indicator would be greatly respected.
- Private opinions: These are not the opinions from my affiliation.
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