Filter Design Toolbox

iirnotch

Design a second-order IIR notch digital filter

Syntax

• [num,den] = iirnotch(w0,bw)
  [num,den] = iirnotch(w0,bw,ab)
  

Description

[num,den] = iirnotch(w0,bw) eturns a digital notching filter with the notch located at w0, and with the bandwidth at the -3 dB point set to bw. To design the filter, w0 must meet the condition 0.0 < w0 < 1.0, where 1.0 corresponds to  radians per sample in the frequency range.

The quality factor (Q factor) q for the filter is related to the filter bandwidth by q = ₀/bw where ₀ is w0, the frequency to remove from the signal.

[num,den] = iirnotch(w0,bw,ab) returns a digital notching filter whose bandwidth, bw, is specified at a level of -ab decibels. Including the optional input argument ab lets you specify the magnitude response bandwidth at a level that is not the default -3dB point, such as -6 dB or 0 dB.

Examples

Design and plot an IIR notch filter that removes a 60 Hz tone (f0) from a signal at 300 Hz (fs). For this example, set the Q factor for the filter to 35 and use it to specify the filter bandwidth:

• wo = 60/(300/2);  bw = wo/35;
  [b,a] = iirnotch(wo,bw);  
  fvtool(b,a);
  

Shown in the next plot, the notch filter has the desired bandwidth with the notch located at 60 Hz, or 0.4 radians per sample. Compare this plot to the comb filter plot shown on the reference page for iircomb.

See Also

gremez, iircomb, iirpeak

iirlpnormc

iirpeak