hw2_002

hw2_002 - a. y [ n ] = x [ n ] − x [ n − 1] b. y [ n ]...

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ECE 178 HW #2 Due: Wednesday, Jan 24, 2007. See the enclosed handout as well. 1. Problem 2.11 2. Problem 2.12 3. Problem 2.15 4. Problem 2.16 5. Problem 2.17 6. Problem 2.19 7. Determine, for each of the following systems defined by the input/output relations, if the system is (a) linear, and (b) shift invariant. (“ t ” denotes a continuous time variable and “[n]” represents a discrete time variable.) In the following, y[n] denotes the output of a system for input x[n].
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Unformatted text preview: a. y [ n ] = x [ n ] − x [ n − 1] b. y [ n ] = Ax [ n ] + B where A and B are constants c. y [ n ] = Ax [ n ] + g [ n ] d. y [ n ] = x [ n ]cos(0.2 π n ) e. y [ m , n ] = g [ m , n ] x [ m , n ] f. y [ m , n ] = x [ m − 1, n ] g. y [ m , n ] = mx [ m , n − 1] + nx [ m − 1, n ] . h. y [ m , n ] = x [ m , k ] k = n ∑ i. y [ m , n ] = x [2,5]...
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This note was uploaded on 12/28/2011 for the course ECE 178 taught by Professor Manjunath during the Fall '08 term at UCSB.

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