Question: We would like to express an arbitrary discrete - time signal x [ ] as the sum of a symmetric part xs [ ] (

We would like to express an arbitrary discrete-time signal x[] as the sum of a symmetric part xs[](where xs[n]= xs[n]) and
an antisymmetric part xa[](where xa[n]=xa[n]) such that x[n]= xs[n]+ xa[n] for all n.
Is such a decomposition possible for all possible signals x[]? When the decomposition is possible, is the answer always

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