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ECE352HW11set2

# ECE352HW11set2 - The Ohio State University Department of...

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The Ohio State University Department of Electrical and Computer Engineering Winter 2011 ECE 352 Problem set 2 Review of Discrete Time systems: ECE 351 Problem 1 (10) Sally and Baines, a modern couple, start to work in January - time k=0. Their income was zero the previous six month. Their income is steady and constant for 0<= k <= infinity. Their income is u(k) - the unit step. The unit, whether it is 5'000 K\$, or 10'000 K\$ is not known. Let x(k) be their monthly income. Their spending strategy is to spend in month k- the average of their income over the past seven month, i.e. y(k)= (1/7)* [ x(k)+x(k-1)+ ...... +x(k-6)] 1.1 Tabulate their spending y(k) for 0 <= k <= 10 1.2 Plot their spending function y(k) versus k. 1.3 Are they overspending or under-spending? Why? Explain. Problem 2 (10) Jose and Mria, start to work in January - time k=0. Their income was zero the previous year. Their income is steady and constant for 0<= k <= infinity. Their income is u(k) - the unit step. The unit, whether it is 5'000 K\$, or 10'000 K\$ is not known.

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