Iterative Design of FIR Filters - Advances in Heuristic Signal Processing and Applications - page 151

Ta b l e 7 . 3 Comparison of results for lowpass FIR filters

Case I

Case II CLS

PSO DEPSO PSO-QI PSO DEPSO PSO-QI I 1 I 2

Avg Time (s) 61.00296 63.51265 63.84031 63.80519 66.25460 67.14100 < 0.05
Iterations: 200
Avg 2.309090 1.367769 1.696142 2.217716 1.290407 1.582336

Min 0.918869 0.542448 0.839119 0.828234 0.398866 0.780351

Max 5.857412 3.868421 2.652464 4.590857 2.214809 3.848432

Std 0.885853 0.516622 0.447363 0.732349 0.420632 0.536772

Iterations: 500
Avg 1.353529 0.647617 0.950669 1.203629 0.647285 0.957092

Min 0.491010 0.196000 0.447505 0.493261 0.291929 0.536816

Max 4.034052 3.035559 1.509080 3.417326 1.074832 3.396342

Std 0.698160 0.408098 0.233942 0.494053 0.182853 0.409753

Iterations: 2000
Avg 0.172948 0.073314 0.019102 0.064034 0.015196 0.015353
Min 0.007040 0.004527 0.004621 0.003499 0.002368 0.002583
Max 2.572305 2.569120 0.056903 2.458580 0.047153 0.048897
Std 0.610465 0.360470 0.011947 0.345662 0.009839 0.011033
Iterations: 5000

Avg 0.154615 0.052767 0.001628 0.049444 0.000559 0.000508 0.001790

Avg Case I a 0.154615 0.052767 0.001628 0.054134 0.002973 0.002867 0.003577

Min 0.001465 0.001465 0.001466 0.000338 0.000338 0.000338

Max 2.556164 2.558192 0.002145 2.447605 0.000939 0.000991

Std 0.611835 0.361552 0.000171 0.346073 0.000130 0.000137

Maximum passband ripple (PBR)
Avg

0.352552 0.248751 0.207626 0.290292 0.245822 0.240912 0.280047

Min 0.171267 0.157795 0.158447 0.214734 0.206672 0.210183

Max 2.752903 2.512941 0.248144 2.609865 0.288430 0.273903

Std 0.584106 0.327469 0.023396 0.334947 0.015451 0.011410

Maximum stopband ripple (SBR)
Avg 0.400418 0.287675 0.228088 0.224103 0.172175 0.166285 0.294372

Min 0.208338 0.208427 0.208663 0.141762 0.141850 0.141765

Max 3.152688 3.087697 0.265057 3.089060 0.206332 0.215424

Std 0.697131 0.404287 0.011508 0.413732 0.016193 0.016907

a

Case II evaluated using I 1 for comparison