BIBO

• Bounded means finite
• BIBO Stable means that any bounded input will produce a bounded output.
• An DT LTI system is BIBO Stable if and only if h[n] is absolutely summable. This is easy to prove for signals which are finite in length, or those which are finite periodic sequencues, but some signals grow without bound.
• This is more or less a review of Calc2, divergence and convergence.
  \(\(\sum\limits_{k=-\infty}^{\infty}{\big|h[k]\big|}< \infty\)\)