A set of 2M biorthogonal signals is obtained from a set of M orthogonal signals by augmenting

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A set of 2M biorthogonal signals is obtained from a set of M orthogonal signals by augmenting it with the negative of each signal in the set.

(a) The extension of orthogonal to biorthogonal signals leaves the dimensionality of the signal space unchanged. Why?

(b) Construct the signal constellation for the biorthogonal signals corresponding to the pair of orthogonal signals shown in Figure.

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