Also called band-elimination, band-reject, or notch filters, this kind of filter passes all frequencies above and below a particular range set by the component values. Not surprisingly, it can be made out of a low-pass and a high-pass filter, just like the band-pass design, except that this time we connect the two filter sections in parallel with each other instead of in series.
System level block diagram of a band-stop filter.
Constructed using two capacitive filter sections, it looks something like:
“Twin-T” band-stop filter.
The low-pass filter section is comprised of R1, R2, and C1 in a “T” configuration. The high-pass filter section is comprised of C2, C3, and R3 in a “T” configuration as well. Together, this arrangement is commonly known as a “Twin-T” filter, giving sharp response when the component values are chosen in the following ratios:
Given these component ratios, the frequency of maximum rejection (the “notch frequency”) can be calculated as follows:
The impressive band-stopping ability of this filter is illustrated by the following SPICE analysis:
twin-t bandstop filter v1 1 0 ac 1 sin r1 1 2 200 c1 2 0 2u r2 2 3 200 c2 1 4 1u r3 4 0 100 c3 4 3 1u rload 3 0 1k .ac lin 20 200 1.5k .plot ac v(3) .end
Response of “twin-T” band-stop filter.
In Partnership with NXP Semiconductors
by Jake Hertz
by Jake Hertz
Can you explain the purpose of R2 and C3?