Two sinusoidal signals are given below: x₁(t) = cos(₁t) x2(t) = cos(2t) where ₁ = 1 rad/sec and ₂ = 10 rad/sec. Find the largest sample rate > 0 in rad/sec that does not alias with ₁ and aliases 2 and generate the same signal x[n] after sampling at rates.

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Two sinusoidal signals are given below:
x₁(t) = cos(₁t)
x2(t) = cos(2t)
where ₁ = 1 rad/sec and ₂ = 10 rad/sec. Find the largest sample rate > 0 in rad/sec that does
not alias with ₁ and aliases 2 and generate the same signal x[n] after sampling at rates.
Transcribed Image Text:Two sinusoidal signals are given below: x₁(t) = cos(₁t) x2(t) = cos(2t) where ₁ = 1 rad/sec and ₂ = 10 rad/sec. Find the largest sample rate > 0 in rad/sec that does not alias with ₁ and aliases 2 and generate the same signal x[n] after sampling at rates.
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