Two complex-valued signals s, (t) and s(t) are represented by s(t)= ah (t) + a,2 (t),...

  

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Two complex-valued signals s, (t) and s₂(t) are represented by s₁(t)= a₁₁h (t) + a,₁2₂ (t), s₂(t) = a ₂₁h(t) + a222₂(t), -∞0 < t <∞0 -∞<t<∞ where the basis function (t) and (t) are both real valued, but the coefficients a₁1a₁2,921, and a 22 are complex valued. Prove the complex form of the Schwarz inequality: [5,05; (1)dt = [*]s, (1) dt [* \s₂(tY³°dt where the asterisk denotes complex conjugation. When is this relation satisfied with the equality sign? Two complex-valued signals s, (t) and s₂(t) are represented by s₁(t)= a₁₁h (t) + a,₁2₂ (t), s₂(t) = a ₂₁h(t) + a222₂(t), -∞0 < t <∞0 -∞<t<∞ where the basis function (t) and (t) are both real valued, but the coefficients a₁1a₁2,921, and a 22 are complex valued. Prove the complex form of the Schwarz inequality: [5,05; (1)dt = [*]s, (1) dt [* \s₂(tY³°dt where the asterisk denotes complex conjugation. When is this relation satisfied with the equality sign?