[amp_mcq option1=”Stable and causal” option2=”Causal but not stable” option3=”Stable but not causal” option4=”Unstable and noncausal” correct=”option1″]<\/p>\n
The correct answer is: A. Stable and causal.<\/p>\n
A system is said to be stable if its output does not grow unbounded in response to a bounded input. A system is said to be causal if its output depends only on the present and past inputs, not on future inputs.<\/p>\n
The impulse response of a system is the response of the system to a unit impulse input. The impulse response of a stable system is always non-negative. The impulse response of a causal system is always zero for negative time.<\/p>\n
The impulse response of the system in the question is $h(n) = 2n u(n – 2)$. This is a non-negative function, which means that the system is stable. It is also zero for negative time, which means that the system is causal. Therefore, the system is stable and causal.<\/p>\n
Here is a brief explanation of each option:<\/p>\n
[amp_mcq option1=”Stable and causal” option2=”Causal but not stable” option3=”Stable but not causal” option4=”Unstable and noncausal” correct=”option1″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[959],"tags":[],"class_list":["post-56532","post","type-post","status-publish","format-standard","hentry","category-signal-processing","no-featured-image-padding"],"yoast_head":"\n