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  • Electrical Engineering Archive: Questions from 2023-06-25

    Suppose x(t) = -t + 2 if -2 < t <= 2 -1 if 2 < t <= 5 0 otherwise . Plot the signal and determine the turn-on time, turn-off time, and absolute time duration. Also classify this signal as left-sided, right-sided, two-sided, or time-limited.

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    Suppose x[n] = 2n - 3 if -1 <= n < 3 1 if n >= 4 0 otherwise . Plot the signal and determine the turn-on time, turn-off time, and absolute time duration. Also classify this signal as left-sided, right-sided, two-sided, or time-limited.

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    Suppose x(t) = -t + 2 if -2 < t <= 2 -1 if 2 < t <= 5 0 otherwise . Plot y(t) = -x(2t), z(t) = 1/2 x(1

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    Suppose x[n] = 2n - 3 if -1 <= n < 3 1 if n >= 4 0 otherwise . Plot y[n] = x[2 - n], z[n] = -x[2n], and w[n] = 1/2 x^2[n]. For each, determine the turn-on time, the turn-off time, and the absolute time duration.

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    Suppose x(t) = 2 + t if -2 <= t < 0 1 if 0 <= t < 2 0 otherwise and y(t) = -1 if -4 <= t < 0 2 if 0 <= t < 4 0 otherwise. Plot the sum signal z(t) = x(t) + y(t) and the product signal w(t) = x(t)y(t).

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    Suppose x[n] = 2 if n = -2, 0, 3 -1 if n = -1, 1 -2 if n = 2, 4 0 otherwise and y[n] = -1 if n = -2, -1, 3 2 if n = 0, 1 1 if n = 2, 4 0 otherwise . Plot the sum signal z[n] = x[n] + y[n] and the product signal w[n] = x[n]y[n].

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    3. (10 pts.) Plot the even and odd parts of the signal shown below.

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    4. (10 pts.) Plot the even and odd parts of the signal shown below.

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    Suppose x(t) = 3t - 1 if ? 4 < t <= -1 t^2 + 1 if -1 < t <= 1 3 - t if 2 < t <= 3 0 otherwise. Represent x(t) with a sum-of-pulses representation.

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    Suppose x[n] = 3n - 1 if -4 <= n <= -1 n^2 + 1 if 0 <= n <= 1 3 - n if 2 <= n <= 3 0 otherwise. Represent x[n] with a sum-of-pulses representation.

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    Suppose x(t) = |2 - t| if -2 < t <= 4 0 otherwise . Represent x(t) with a sum-of-pulses representation in such a way that there are no absolute values in your answer.

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