[amp_mcq option1=”$${1 \\over 4}$$” option2=”Zero” option3=”1″ option4=”Infinity” correct=”option1″]<\/p>\n
The correct answer is A.<\/p>\n
The final value of a z-transform is the value of the z-transform as $z \\to 1$. In this case, we have<\/p>\n
$$C\\left( z \\right) = {1 \\over 4}{{{z^{ – 1}}\\left( {1 – {z^{ – 4}}} \\right)} \\over {{{\\left( {1 – {z^{ – 1}}} \\right)}^2}}} \\to {1 \\over 4}{{{z^{ – 1}}\\left( {1 – 0} \\right)} \\over {{{\\left( {1 – 0} \\right)}^2}}} = {1 \\over 4}$$<\/p>\n
as $z \\to 1$.<\/p>\n
Option B is incorrect because the z-transform does not approach zero as $z \\to 1$. Option C is incorrect because the z-transform does not approach 1 as $z \\to 1$. Option D is incorrect because the z-transform is finite as $z \\to 1$.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”$${1 \\over 4}$$” option2=”Zero” option3=”1″ option4=”Infinity” 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-45855","post","type-post","status-publish","format-standard","hentry","category-signal-processing","no-featured-image-padding"],"yoast_head":"\n