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Unformatted text preview: -2 ≤ n ≤ 3. Part a: x [ n ] = U [ n + 2]-2 U [ n ] + U [ n-1] Part b: x [ n ] = ( n + 1) U [ n + 1]-2 U [ n ]-( n-1) U [ n-3] Part c: x [ n ] = δ [ n ]-δ [ n-1] + U [ n-2]-U [ n + 1] Problem 8 Part a: Any discrete-time signal can be expressed as x [ n ] = ∞ X k =-∞ α k δ [ n-k ] Find the coeﬃcients, α k . (Hint: we did this in class) Part b: x [ n ] can also be expressed as a sum of unit-step functions x [ n ] = ∞ X k =-∞ β k U [ n-k ] Find the coeﬃcints, β k . (Hint: δ [ n ] and U [ n ] are related). Problem 9 Problem 1.27 (a), (b), (c) 2...
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- Fall '06
- Signal Processing, Summation, Ellen Page