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

1. Apr 24, 2012

### elgen

Consider the passive high-pass filter that consists of a resistor (R) and a capacitor (C). The frequency response is
$H(\omega)=\frac{j\omega C R}{j\omega C R + 1}$.

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

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.

elgen