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An LTIC system impulse response is given by h(t) = u(t)-u(t - 1).
a. Determine the transfer function H(s). Using H(s), determine and plot the magnitude response |H(jω)|. Which type of filter most accurately describes the behavior of this system: lowpass, highpass, bandpass, or bandstop?
b. What are the poles and zeros of H(s)? Explain your answer.
c. Can you determine the impulse response of the inverse system? If so, provide it. If not, suggest a method that could be used to approximate the impulse response of the inverse system.
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