2.1 Given a linear difference equation as shown below, find the output y(n) for 0 ≤ n ≤5, using the recursive algorithm y(n) = 0.3y(n-1) + y(n-2) + x(n) where y(-1)= 1.0. y(-2)= 0 and x(n) = (0.1)"u(n).

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2.1
2.2
Given a linear difference equation as shown below, find the output ym)
for 0 ≤ n ≤5, using the recursive algorithm
y(n) = 0.3y(n-1) + y(n − 2) + x(n)
where y(-1) = 1.0. y(-2) = 0 and x(n) = (0.1)"u(n).
An LTI-DT system is described by the following equation
y(n) = 0.3y(n-1) + y(n-2)-0.2y(n-3) + x(n)
where y(-1) = 1, y(-2) = 0. y(-3) = 2. and .x(n) = (0.5)"u(n). Find
the output samples y(n) for 0 ≤ n ≤5, using the recursive algorithm.
Transcribed Image Text:PROBLEMS 2.1 2.2 Given a linear difference equation as shown below, find the output ym) for 0 ≤ n ≤5, using the recursive algorithm y(n) = 0.3y(n-1) + y(n − 2) + x(n) where y(-1) = 1.0. y(-2) = 0 and x(n) = (0.1)"u(n). An LTI-DT system is described by the following equation y(n) = 0.3y(n-1) + y(n-2)-0.2y(n-3) + x(n) where y(-1) = 1, y(-2) = 0. y(-3) = 2. and .x(n) = (0.5)"u(n). Find the output samples y(n) for 0 ≤ n ≤5, using the recursive algorithm.
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