IIR bandpass filter with very low corner frequencies

Hi All! I'm trying to get in the MATLAB Signal Processing Toolbox a bandpass IIR filter having the following specifications: pass-band [0.1-0.5] Hz and stop-band attenuation 30 dB. I'm using the following command:

[fdata,DigFilt] = bandpass(data, [0.1,0.5], fs, 'ImpulseResponse', 'iir', 'StopbandAttenuation', 30);

The sampling frequency fs is 860 Hz. The command

info(DigFilt)

says that

IIR Digital Filter (real)

Number of Sections  : 5
Stable              : Yes
Linear Phase        : No

Design Method Information
Design Algorithm : Elliptic

Design Options
Match Exactly : both

Design Specifications
Sample Rate            : 860 Hz
Response               : Bandpass
Specification          : Fst1,Fp1,Fp2,Fst2,Ast1,Ap,Ast2
Passband Ripple        : 0.1 dB
First Stopband Edge    : 84.3 mHz
Second Stopband Atten. : 30 dB
Second Stopband Edge   : 67.9315 Hz
Second Passband Edge   : 500 mHz
First Passband Edge    : 100 mHz
First Stopband Atten.  : 30 dB

The very strange parameter is Second Stopband Edge = 67.9315 Hz that seems to me too high considering the high corner frequency of 0.5 Hz. In fact, when i plot the frequency response with

fvtool(DigFilt)

i get the following

where i see that at 67.9315 Hz the attenuation is far below 30 dB. A zoom of the pass-band is the following

With this image, the first stop-band edge seems to be 57 mHz (and not 84.3 mHz as indicated by the command info) and the second stop-band edge seems to be 577 mHz. Why is there such disagreement between the images and the output of the command info ? Is it caused by the very low corner frequencies? Thanks to all.

Answer 1

[Frantz Bouchereau]

Emanuele, the passband frequencies are extremely small for the 860 Hz sample rate. I recomend you donwssmple the signal to a much smaller sample rate and then design the filter with the required passband frequencies.

HTH