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High-pass filter : ウィキペディア英語版
High-pass filter

A high-pass filter is an electronic filter that passes signals with a frequency higher than a certain cutoff frequency and attenuates signals with frequencies lower than the cutoff frequency. The amount of attenuation for each frequency depends on the filter design. A high-pass filter is usually modeled as a linear time-invariant system. It is sometimes called a low-cut filter or bass-cut filter. High-pass filters have many uses, such as blocking DC from circuitry sensitive to non-zero average voltages or radio frequency devices. They can also be used in conjunction with a low-pass filter to produce a bandpass filter.
==First-order continuous-time implementation==

The simple first-order electronic high-pass filter shown in Figure 1 is implemented by placing an input voltage across the series combination of a capacitor and a resistor and using the voltage across the resistor as an output. The product of the resistance and capacitance (''R''×''C'') is the time constant (τ); it is inversely proportional to the cutoff frequency ''f''''c'', that is,
:f_c = \frac = \frac,\,
where ''f''''c'' is in hertz, ''τ'' is in seconds, ''R'' is in ohms, and ''C'' is in farads.
Figure 2 shows an active electronic implementation of a first-order high-pass filter using an operational amplifier. In this case, the filter has a passband gain of -''R''2/''R''1 and has a cutoff frequency of
:f_c = \frac = \frac,\,
Because this filter is active, it may have non-unity passband gain. That is, high-frequency signals are inverted and amplified by ''R''2/''R''1.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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