I'm using MATLAB to implement some digital filters. I need to determine the filter attenuation, ATT, and transition width, TW. ATT = -20log_10(gain), with gain between 0 and 1, and TW = fs -fp, with fs the stopband frequency and fp the passband frequency. My question is that the assignment is telling me to choose the more stringent ATT or TW if necessary. Does that mean the smaller of the two values? For the bandpass filter, I have TW_1 = 400 and TW_2 = 1000, so do I use TW = 400? I apologize since this is not clear and there are not a lot of details, but my confusion (for now) is jsut what is meant by "more stringent"?

Thank you.