A system is described by . Classify this system as to time invariance, BIBO stability and invertibility.

What will be an ideal response?


Solution:



Time invariant

BIBO Stability:

If the excitation is a constant, the response increases without bound.

BIBO Unstable

Causality:

At any time n = the response depends on the excitation at the next time in the future.

Not causal.



Memory:

At any time n = the response depends on the excitation at that time and previous times.

System has memory.



Invertibility:

Inverting the functional relationship, Taking the first backward difference of both sides of the original system equation,



The excitation is uniquely determined by the response.

Invertible.

Trades & Technology

You might also like to view...

Which vehicles must have low air pressure warning signals

a. Those built after 2010 must have low air pressure warning signals b. Those built after 2005 must have low air pressure warning signals c. All vehicles with air brakes currently in operation must have low air pressure warning signals d. Warning signals are optional

Trades & Technology

En los sistemas de alarma contra incendios direccionables analógicos, el estado de la alarma lo determina(n):

a. el panel de control. b. los dispositivos de iniciación. c. los dispositivos de notificación. d. los dispositivos de comunicación.

Trades & Technology

Give two advantages for using artificial insemination (AI)

What will be an ideal response?

Trades & Technology

Why should restaurant employees be careful about the mixture of sanitizers they use?

a. If it is too strong it may bleach the employee’s uniform or the customers’ clothes. b. Straight bleach, or at least a strong solution, is needed to kill bacteria. c. Too much bleach residue on surfaces can be poisonous to humans.

Trades & Technology