- #1
elgen
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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.
elgen
[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.
elgen