Howtosignalprocessing
- How do we define the BIBO stability of a system?
- What is relationship between zero input stability and BIBO stability?
- What is a BIBO stability of a discrete time system?
- Which of the following system is BIBO stable?
How do we define the BIBO stability of a system?
A system is BIBO stable if every bounded input signal results in a bounded output signal, where boundedness is the property that the absolute value of a signal does not exceed some finite constant.
What is relationship between zero input stability and BIBO stability?
A system is asymptotically stable iff all s of A have magnitudes less than 1. Since every pole of G(z) is an eigenvalue of A, asymptotic stability (zero-input response) implies BIBO stability (zero-state response). BIBO stability does not in general imply asymptotic stability.
What is a BIBO stability of a discrete time system?
BIBO stability is the system property that any bounded input yields a bounded output. This is to say that as long as we input a signal with absolute value less than some constant, we are guaranteed to have an output with absolute value less than some other constant.
Which of the following system is BIBO stable?
In this signal, as t → ∞ , the impulse response value is not approaching 0 value. Hence it's BIBO stable. A system is bounded input bounded output (BIBO) stable if the output is guaranteed to be bounded for every bounded input. The magnitude of a sum of terms is less than or equal to the sum of their magnitudes.
