deconvolution

[Xao Ping <xao_ping@yahoo.com>]

Dear All:

Suppose that I have a sample Y. Suppose also that it is known that Y=X+E where X is considered as a signal and E as noise. The PDFs of X and E are known: F(y, theta)  and

G(e, xi). Parameters theta and xi are also a priori known. Given all this knowledge,

is that possible to estimate signal X? Just to be precise, I need to substitute each data point in Y by the predicted Y' in such a way as it would be, in a sense, closer to X than in the original sample Y.

Thank you

Xao

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