Robust Normalized Subband Adaptive Filter Algorithm with a Sigmoid-Function-Based Step-Size Scaler and Its Convex Combination Version

<div>NMSD learning curves comparison of the proposed S<i>L</i><sub>0</sub>-SSS-IPNSAF with different step sizes and CS<i>L</i><sub>0</sub>-SSS-IPNSAF algorithms for sparse impulse response with <span class="nowrap"><svg height="11.927pt" id="M186" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 41.6042 11.927" width="41.6042pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"><path d="M397 380C406 395 404 411 396 425S369 451 350 451C302 451 239 372 192 294H189L199 338C214 407 207 451 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27V0H384Z"></path></g></svg>.</span> CS<i>L</i><sub>0</sub>-SSS-IPNSAF: <span class="nowrap"><svg height="11.7782pt" id="M187" style="vertical-align:-3.42938pt" version="1.1" viewbox="-0.0498162 -8.34882 42.3871 11.7782" width="42.3871pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M538 96L524 119C492 88 454 63 446 63C439 63 434 70 440 101C463 223 491 341 518 448H508L433 422L401 276C355 192 240 56 188 56C163 56 154 89 163 133C184 233 207 338 235 443L230 448L152 424L58 17C40 -60 23 -143 23 -185C23 -241 42 -261 63 -261C92 -261 117 -241 125 -227L124 -221C109 -209 89 -165 89 -103C89 -55 96 -13 105 26H107C121 -3 134 -12 151 -12C172 -12 194 -5 221 16C279 61 330 124 384 194H386C381 159 377 141 368 105C343 3 363 -12 383 -12C416 -12 486 35 538 96Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.89,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 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(Other parameters setting of the proposed S<i>L</i><sub>0</sub>-SSS-IPNSAF and CS<i>L</i><sub>0</sub>-SSS-IPNSAF algorithms are the same with those of Figure <a href="../fig7/">7</a>).</div>

Mathematical Problems in Engineering

fig8

Figure 8

Figure 8: Robust Normalized Subband Adaptive Filter Algorithm with a Sigmoid-Function-Based Step-Size Scaler and Its Convex Combination Version 