Capacitor passes high frequencies, blocks low frequencies

In frequency domain, capacitor impedance,  Z(ω)=1/jωc

So, the impulse response, 

where, 

Whose magnitude, 

And phase, 

So that, 

G is easiest viewed on a Bode (log-log) plot:   

Φ is 0° for high frequencies, 90° at low frequencies, and 45° at the -3dB point:   

Note:  The affect of a high-pass filter can be numerically undone with the droop correction algorithm.

Capacitor passes high frequencies, blocks low frequencies

In frequency domain, capacitor impedance,   Z(ω)=1/jωc

So, the impulse response, 

where, 

Whose magnitude, 

And phase, 

So that, 

G is easiest viewed on a Bode (log-log) plot:   

Φ is 0° for high frequencies, 90° at low frequencies, and 45° at the -3dB point:   

A simple algorithm can synthesize the response of input discrete-time waveform data to a low-pass RC filter.  A KCL node equation at the output node gives:

Which can be expressed by the implicit difference equation:

So,