Design an RLC bandpass filter with a quality factor of 8 and a center frequency of 80 krad/s using a 10 nF capacitor. + R www + L3% a. Derive the transfer function equation. Show all your steps; the solution will not be worth any points. Ensure that the s² term in the denominator has a coefficient of 1. b. In terms of R, L, and C, what is the equation for this filter's bandwidth, quality factor, and center frequency? c. Calculate the values for the resistor, R, and inductor, L. d. Calculate the bandwidth, center frequency (f0), and the values of the two cutoff frequencies (fc1 and fc2) based on the values obtained in part c.

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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.