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Homework Help: The impulse response of a high-pass filter

  1. Apr 24, 2012 #1
    Consider the passive high-pass filter that consists of a resistor (R) and a capacitor (C). The frequency response is
    [itex]H(\omega)=\frac{j\omega C R}{j\omega C R + 1}[/itex].

    What would be the impulse response of this high pass filter? This question translates to how to evaluate the following Fourier integral:
    [itex]h(t) = \frac{1}{\sqrt{2\pi}}\int_{-\infty}^{+\infty} H(\omega ) e^{j\omega t} d\omega [/itex]

    If this integral cannot be evaluated in the close form, would it be possible to seek the asymptotic expansion? as R becomes large or C becomes large?

    Many thanks.

  2. jcsd
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