Iterative Design of FIR Filters - Advances in Heuristic Signal Processing and Applications - page 153

Ta b l e 7 . 5 Comparison of results for bandpass FIR filters

Case I

Case II CLS

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

Avg Time (s) 63.58043 66.26156 66.67736 65.81591 68.68277 69.082577 < 0.05
Iterations: 200
Avg 2.313546 1.179951 1.554501 1.982181 1.170335 1.586532

Min 1.172316 0.596113 0.734473 1.062480 0.426690 0.777035

Max 5.305936 2.400848 3.782131 5.406325 4.640706 3.857878

Std 0.818909 0.389749 0.553299 0.705846 0.592620 0.522986

Iterations: 500
Avg 1.279520 0.569743 0.946342 1.123554 0.577790 0.893920

Min 0.531468 0.305807 0.496780 0.339226 0.259503 0.346511

Max 3.662125 1.199284 3.478458 4.336395 3.292193 3.598533

Std 0.481833 0.198388 0.433324 0.564460 0.417246 0.457655

Iterations: 2000
Avg 0.028687 0.031538 0.036194 0.073863 0.026110 0.026231
Min 0.018695 0.018111 0.020022 0.014262 0.012300 0.012841
Max 0.043332 0.074883 0.095605 2.440620 0.058284 0.071384
Std 0.006733 0.011413 0.014509 0.341638 0.009765 0.013427
Iterations: 5000

Avg 0.016428 0.016461 0.016384 0.058796 0.010273 0.010180 0.014942

Avg Case I a 0.016428 0.016461 0.016384 0.069030 0.017737 0.017593 0.022408

Min 0.016131 0.016137 0.016126 0.009753 0.009745 0.009748

Max 0.018635 0.018114 0.017252 2.434750 0.012572 0.011388

Std 0.000368 0.000382 0.000262 0.342869 0.000616 0.000456

Maximum passband ripple (PBR)
Avg

0.479268 0.482948 0.479261 0.547783 0.523475 0.524352 0.522534

Min 0.439810 0.442510 0.430079 0.503902 0.501465 0.504393

Max 0.501762 0.504366 0.500726 1.756379 0.537421 0.537750

Std 0.017339 0.017040 0.017466 0.174703 0.010566 0.010480

Maximum stopband ripple (SBR)
Avg 0.481411 0.478034 0.480510 0.465866 0.433212 0.432359 0.444855

Min 0.451668 0.455327 0.455083 0.412330 0.411028 0.411814

Max 0.518466 0.518381 0.524113 2.060793 0.460651 0.462116

Std 0.019935 0.019943 0.020896 0.230634 0.014247 0.013644

a

Case II evaluated using I 1 for comparison