band pass filter

A Band Pass filter is a filter that passes frequencies in a desired range and attenuates frequencies below and above. A closely related Knowledgebase item discusses the concept of the Q of a filter. The Knowledgebase makes a distinction between high Q band pass filters and low Q bandpass filters. While there are separate terms for the opposite of a bandpass filter – the notch and band reject – there are no corresponding terms to differentiate between a high Q bandpass filter – covered by this item – and a low Q bandpass filter. This knowledgebase item is geared towards the single tone, narrowband RF, and IF type of filters. The audio, speech, and broadband communications type of filter are covered in the low Q bandpass filter item.
The amplitude response of a band pass filter is flat from the center frequency down and up to points where it begins to roll off. The standard reference points for these roll-offs are the points where the amplitude has decreased by 3 dB, to 70.7% of its original amplitude. This is the passband of the filter. The regions above the passband to infinity, and below the passband to zero (or near zero) are the stop bands of the filter.
The -3 dB points and -20 dB amplitude points of the filter are determined by the size of the passband in relation to the center frequency, in other words the Q of the filter. The Q knowledgebase item will have additional information, but it is hard to talk about the roll-off points of a bandpass filter without defining the Q, which is the center frequency divided by the bandwidth.
There are applications where a particular band, or spread, or frequencies need to be filtered from a wider range of mixed signals. Filter circuits can be designed to accomplish this task by combining the properties of low-pass and high-pass into a single filter. The result is called a band-pass filter. Creating a bandpass filter from a low-pass and high-pass filter can be illustrated using block diagrams: (Figure

System level block diagram of a band-pass filter.
What emerges from the series combination of these two filter circuits is a circuit that will only allow passage of those frequencies that are neither too high nor too low. Using real components, here is what a typical schematic might look like Figure

The response of the band-pass filter is shown in (Figure

Capacitive band-pass filter.
capacitive bandpass filter
v1 1 0 ac 1 sin
r1 1 2 200
c1 2 0 2.5u
c2 2 3 1u
rload 3 0 1k
.ac lin 20 100 500
.plot ac v(3)

< !-3.737E+02 5.384E-01 . . * . .-->

The response of a capacitive bandpass filter peaks within a narrow frequency range.
Band-pass filters can also be constructed using inductors, but as mentioned before, the reactive “purity” of capacitors gives them a design advantage. If we were to design a bandpass filter using inductors, it might look something like Figure

Inductive band-pass filter.
The fact that the high-pass section comes “first” in this design instead of the low-pass section makes no difference in its overall operation. It will still filter out all frequencies too high or too low.
While the general idea of combining low-pass and high-pass filters together to make a bandpass filter is sound, it is not without certain limitations. Because this type of band-pass filter works by relying on either section to block unwanted frequencies, it can be difficult to design such a filter to allow unhindered passage within the desired frequency range. Both the low-pass and high-pass sections will always be blocking signals to some extent, and their combined effort makes for an attenuated (reduced amplitude) signal at best, even at the peak of the “pass-band” frequency range. Notice the curve peak on the previous SPICE analysis: the load voltage of this filter never rises above 0.59 volts, although the source voltage is a full volt. This signal attenuation becomes more pronounced if the filter is designed to be more selective (steeper curve, narrower band of passable frequencies).
There are other methods to achieve band-pass operation without sacrificing signal strength within the pass-band. We will discuss those methods a little later in this chapter.