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Properties of LTI systems

Properties of LTI systems. Commutative: x[n] ¤ h[n] = h[n] ¤ x[n] Distributive: x[n] ¤ (h 1 [n] + h 2 [n]) = x[n] ¤ h 1 [n] + x[n] ¤ h 2 [n] Associative: x[n] ¤ (h 1 [n] ¤ h 2 [n]) = (x[n] ¤ h 1 [n]) ¤ h 2 [n]. x[n]. h[n]. y[n]. h[n]. x[n]. y[n]. h 1 [n]. y[n]. x[n]. x[n].

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Properties of LTI systems

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  1. Properties of LTI systems • Commutative: x[n]¤h[n] = h[n]¤x[n] • Distributive: x[n]¤(h1[n] + h2[n]) = x[n]¤h1[n] + x[n]¤h2[n] • Associative: x[n]¤(h1[n]¤h2[n]) = (x[n]¤h1[n])¤h2[n] x[n] h[n] y[n] h[n] x[n] y[n] h1[n] y[n] x[n] x[n] h1[n] + h2[n] y[n] + h2[n] x[n] h1[n] h2[n] y[n] y[n] x[n] h1[n] ¤ h2[n]

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