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Frequency Response and Filters

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Bode Plot

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A graphical representation of the frequency response of a system, showing magnitude (in dB) and phase (in degrees) plotted against frequency (on a logarithmic scale).

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Butterworth Filter

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A type of filter with a maximally flat frequency response in the passband, meaning no ripples and a smooth cutoff at the transition to the stopband.

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Band-stop Filter

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Attenuates signals within a certain frequency range, allowing frequencies outside of this range to pass through.

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Active Filter

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Filters that use active components such as transistors or operational amplifiers, along with resistors and capacitors, and require an external power source.

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High-pass Filter

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Allows signals with a frequency higher than a certain cutoff frequency to pass through and attenuates frequencies lower than the cutoff frequency.

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Chebyshev Filter

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A filter that allows ripples in the passband for a steeper rate of attenuation in the stopband as compared to a Butterworth filter.

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Low-pass Filter

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Allows signals with a frequency lower than a certain cutoff frequency to pass through and attenuates frequencies higher than the cutoff frequency.

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Roll-off Rate

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The rate at which a filter attenuates the signal beyond the cutoff frequency, typically expressed in decibels per octave or decibels per decade.

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Band-pass Filter

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Allows signals within a certain range of frequencies to pass through, attenuating frequencies outside this range.

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Passive Filter

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Filters that consist of passive elements (resistors, inductors, and capacitors) and do not require an external power source to operate.

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