Wecho13 - ECE 421 Sum 2010 Detailed Solutions Set 13 Echo...

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ECE 421 - Sum 2010 Detailed Solutions - Set 13 : Echo Cancellation 1 13-1. This is a two-dimension vector example in which the term “1-2” axes represents the orthogonal “ m = 1 and m = 2” axes described in the notes. Two vectors p and v are given by p 5 2 T v 3 6 T . Call the“1-axis” the first component of the vector and the “2-axis” the second component of the vector. On two different plots draw the vectors below. (a) the “1-2” axes, the vectors p and v , and the vector w = 1.2 p + 1.4 v (b) the “1-2” axes, the vectors p and v , and the vector w = - 0.5 p + 0.7 v DETAILED SOLUTION: (a) Plot the “1-2” axes, the vector p 5 2 T , the vector v 3 6 T , and the vector w = 1.2 p + 1.5 v 4 1 2-axis 10.2 + = 10.8 w 6 6 1-axis p 3 5 1 2 p 1.2 v v 1.4 p 1.2 v 1.4 (b) Plot the “1-2” axes, the vector p , the vector v , and the vector w = -0.5 p + 0.7 v 1 5 3 6 4 6 1-axis p 2-axis p -0.5 v v 0.7 v 0.7 w = -0.5 p +
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This note was uploaded on 09/07/2010 for the course ECE 421 taught by Professor Hallen during the Summer '08 term at N.C. State.

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Wecho13 - ECE 421 Sum 2010 Detailed Solutions Set 13 Echo...

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