An Efficient Adaptive Window Size Selection Method for Improving Spectrogram Visualization

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Schemes </td><td class="align_center"> CPU time (seconds) </td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left"><span style="width: 50.6941ptpx;"><svg height="14.1074pt" id="M145" style="vertical-align:-5.341pt" version="1.1" viewbox="-0.0498162 -8.7664 50.6941 14.1074" width="50.6941pt" 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="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z" 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vert-adv-y="529"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,20.93,0)"><path d="M592 498C586 556 582 629 581 675H560C545 656 537 650 510 650H115C87 650 74 652 60 675H40C38 620 33 555 28 495H57C69 539 77 568 89 585C102 607 122 616 205 616H267V123C267 44 259 34 168 28V0H454V28C360 34 352 44 352 123V616H422C498 616 514 608 531 584C542 568 552 543 562 495L592 498Z" id="g121-82"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="617" vert-adv-y="617"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,29.06,5.233)"><path d="M529 0V30C463 35 457 42 457 102V452C402 441 350 439 267 439H185V467C185 548 199 596 218 621C229 641 250 658 281 658C328 658 363 626 386 599C393 590 403 590 416 598C425 605 434 615 439 624C445 637 443 650 434 662C424 677 387 707 325 710C286 706 240 688 199 655C144 611 123 560 116 535C109 512 104 489 104 460V439H55L27 408L32 396H104V102C104 41 97 38 33 30V0H256V30C192 35 185 42 185 102V396H324C373 396 376 388 376 344V102C376 42 369 35 313 30V0H529Z" id="g58-27"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="547" vert-adv-y="547"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,32.615,5.233)"><path d="M482 0V30C420 38 407 48 370 103L273 248C308 299 331 332 352 357C387 397 401 404 463 409V439H277V409C318 405 324 400 307 369C290 337 270 307 251 279L194 367C175 396 180 402 220 409V439H18V409C74 401 87 395 117 349L204 213C173 168 147 130 119 95C78 46 67 38 5 30V0H195V30C144 38 143 47 162 79C181 112 202 149 225 181L297 70C314 43 307 35 264 30V0H482Z" id="g58-118"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="481" vert-adv-y="481"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,35.748,5.233)"><path d="M579 340V395H58V340H579ZM579 145V200H58V145H579Z" id="g180-34"></path><glyph.data ascent="3439" descent="-2858" horiz-adv-x="637" vert-adv-y="637"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,39.889,5.233)"><path d="M394 0V37C301 42 295 50 295 122V635C236 613 178 596 109 583V553L165 551C205 549 209 544 209 495V122C209 50 203 42 111 37V0H394Z" id="g176-50"></path><glyph.data ascent="3439" descent="-2858" horiz-adv-x="494" vert-adv-y="494"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,43.1,5.233)"><path d="M452 139L416 148C386 81 373 77 319 77H141L282 220C372 312 414 373 414 464C414 569 332 635 240 635C181 635 132 609 101 574L42 493L70 467C98 506 143 562 209 562C280 562 324 515 324 435C324 347 261 272 197 197C148 139 89 84 34 29V0H417L452 139Z" id="g176-51"></path><glyph.data ascent="3439" descent="-2858" horiz-adv-x="494" vert-adv-y="494"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,46.311,5.233)"><path d="M449 167C449 258 386 306 319 343C359 372 385 398 393 407C411 429 423 458 423 487C423 569 352 635 256 635C143 635 72 555 72 471C72 401 112 353 177 316C145 294 106 265 92 252C72 231 47 202 47 157C47 50 134 -12 245 -12C334 -12 449 50 449 167ZM342 480C342 424 315 389 281 362C208 395 150 428 150 498C150 546 184 597 242 597C290 597 342 559 342 480ZM365 143C365 72 316 26 255 26C193 26 133 76 133 163C133 216 166 264 216 296C294 259 365 217 365 143Z" id="g176-57"></path><glyph.data ascent="3439" descent="-2858" horiz-adv-x="494" vert-adv-y="494"></glyph.data></g></svg></span></td><td class="align_center"> 0.1560</td></tr><tr><td class="align_left"><span style="width: 47.4711ptpx;"><svg height="14.1074pt" id="M146" style="vertical-align:-5.341pt" version="1.1" viewbox="-0.0498162 -8.7664 47.4711 14.1074" width="47.4711pt" 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="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z" id="g121-81"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="474" vert-adv-y="474"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,6.032,0)"><path d="M592 498C586 556 582 629 581 675H560C545 656 537 650 510 650H115C87 650 74 652 60 675H40C38 620 33 555 28 495H57C69 539 77 568 89 585C102 607 122 616 205 616H267V123C267 44 259 34 168 28V0H454V28C360 34 352 44 352 123V616H422C498 616 514 608 531 584C542 568 552 543 562 495L592 498Z" id="g121-82"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="617" vert-adv-y="617"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,14.052,0)"><path d="M493 503C489 551 484 614 483 650H43V622C120 616 128 611 128 525V126C128 40 120 34 40 28V0H312V28C221 34 213 40 213 126V307H316C407 307 412 296 424 227H453V420H424C412 355 407 346 316 346H213V584C213 613 216 616 246 616H322C398 616 419 607 436 579C449 559 455 539 464 499L493 503Z" id="g121-68"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="529" 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id="g58-27"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="547" vert-adv-y="547"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,32.506,5.233)"><path d="M482 0V30C420 38 407 48 370 103L273 248C308 299 331 332 352 357C387 397 401 404 463 409V439H277V409C318 405 324 400 307 369C290 337 270 307 251 279L194 367C175 396 180 402 220 409V439H18V409C74 401 87 395 117 349L204 213C173 168 147 130 119 95C78 46 67 38 5 30V0H195V30C144 38 143 47 162 79C181 112 202 149 225 181L297 70C314 43 307 35 264 30V0H482Z" id="g58-118"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="481" vert-adv-y="481"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,35.639,5.233)"><path d="M579 340V395H58V340H579ZM579 145V200H58V145H579Z" id="g180-34"></path><glyph.data ascent="3439" descent="-2858" horiz-adv-x="637" vert-adv-y="637"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,39.78,5.233)"><path d="M461 212C461 317 386 401 277 401C257 401 234 394 212 384L145 351C175 478 268 537 333 566C371 583 409 595 443 601L435 641C396 634 343 622 305 610C193 570 37 459 37 240C37 88 127 -12 248 -12C372 -12 461 89 461 212ZM371 176C371 111 344 32 268 32C184 32 132 126 132 248C132 270 133 293 138 310C161 323 197 339 236 339C328 339 371 258 371 176Z" id="g176-55"></path><glyph.data ascent="3439" descent="-2858" horiz-adv-x="494" vert-adv-y="494"></glyph.data></g><g transform="matrix(.0065,0,0,-0.0065,42.991,5.233)"><path d="M468 176V229H370V632H320C217 496 117 353 22 210V176H288V112C288 46 284 42 191 35V0H457V35C374 42 370 46 370 110V176H468ZM288 229H94C161 337 222 429 286 518H288V229Z" id="g176-53"></path><glyph.data ascent="3439" descent="-2858" horiz-adv-x="494" vert-adv-y="494"></glyph.data></g></svg></span></td><td class="align_center"> 0.1716 </td></tr><tr><td class="align_left">CQT </td><td class="align_center"> 0.413 </td></tr><tr><td class="align_left">VSTFT/ASTFT </td><td class="align_center"> 0.5928 </td></tr><tr><td class="align_left">Proposed method</td><td class="align_center"> 0.2845 </td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr><tr class="table-fn"><td>STFT: Short Time Fourier Transform; CQT: constant Q transform; VSTFT: Variable Short Time Fourier Transform; ASTFT: Adoptive Short Time Fourier Transform.<br/></td></tr></table>

Computational Intelligence and Neuroscience

tab3

Table 3

Table 3: An Efficient Adaptive Window Size Selection Method for Improving Spectrogram Visualization 