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Unformatted text preview: he system would be of the form: y(t) = A1*x(t‐t1) + A2*x(t‐t2) +....An*x(t‐tn) for the direct sound and (n‐1) echoes. Here the constants A1 to An would be less than 1 and smaller if the mic is farther from the source. Using the same logic as the other parts in the above equation additivity and homogeneity apply. Thus the system is Linear. If the input is delayed by t0, then the output is also delayed by t0 and hence the system is Time Invariant.  g)  i) Linearity: Let is not linear. ii) TI:  , then  , then    . Si...
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 Fall '14

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