CR active filters find extensive use in communications and instrumentation measurements. a) By considering how the capacitor impedance in Figure 1 varies with frequency, explain if the circuit in Figure 1 acts as a low-pass or high-pass filter. b) Derive the closed-loop gain for the case of very high frequencies. c) Draw a graph that shows the frequency response of the CR active high-pass filter. The y-axis should correspond to gain in dBs and the x-axis to frequency. Make sure that you clearly indicate the 3 dB point and the equation that describes the relationship between ω and CinRin at the cut-off frequency.

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Filter

A filter is a device or process which removes some of the unwanted features or components like frequencies from a signal in signal processing. The feature of filters is the complete or partial suppression of some part of the signal, and filtering is a class of signal processing. This most often means removing some frequency bands or some frequencies. In the frequency domain, the filters do not exclusively act, especially in the image processing field many other targets for filtering exist. Without having to act in the frequency domain, the correlations can be removed for certain frequency components and not for others. The filters are widely used in electronics and telecommunication, in television, radio, radar, audio recording, music synthesis, control systems, computer graphics, and image processing.