specified causality determined stability system '''bounded input bounded output stable''' bibo stable every bounded input output finite mathematically math display block x n infty infty math implies math display block n infty infty math bounded input implies bounded output sense maximum absolute values math x n math math n math finite system stable necessary sufficient condition math h n math impulse response satisfies math display block h n mathrel stackrel text def sum n infty infty h n infty math frequency domain region convergence must contain
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