A New Wavelet Threshold Determination Method Considering Interscale Correlation in Signal Denoising

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static-preview.hindawi.com/articles/mpe/volume-2015/280251/figures/280251.fig.002a.svgz" name="280251.fig.002a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>Block signal</td></tr><tr class="fig-image" id="b"><td><object data="https://static-preview.hindawi.com/articles/mpe/volume-2015/280251/figures/280251.fig.002b.svgz" name="280251.fig.002b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>Bumps signal</td></tr><tr class="fig-image" id="c"><td><object data="https://static-preview.hindawi.com/articles/mpe/volume-2015/280251/figures/280251.fig.002c.svgz" name="280251.fig.002c" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(c) </b>Heavy sine signal</td></tr><tr class="fig-image" id="d"><td><object data="https://static-preview.hindawi.com/articles/mpe/volume-2015/280251/figures/280251.fig.002d.svgz" name="280251.fig.002d" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(d) </b>Doppler signal</td></tr></table>

<div>Denoising effect of <svg height="8.32035pt" id="M71" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -8.11395 28.6589 8.32035" width="28.6589pt" 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="M548 455L523 469C505 448 490 439 461 439C416 439 374 447 316 447C144 447 23 310 23 161C23 47 89 -12 179 -12C312 -12 429 106 429 244C429 303 419 344 368 386L371 388C404 383 440 378 474 378C507 378 530 411 548 455ZM350 274C350 191 308 25 198 25C144 25 108 75 108 157C108 264 170 395 276 395C296 395 320 384 333 360C347 334 350 316 350 274Z" id="g113-240"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="565" vert-adv-y="565"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,10.979,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="587" vert-adv-y="587"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,22.242,0)"><path d="M153 550H386L412 615L406 623H120L82 318C104 327 142 338 184 338C294 338 347 275 347 187C347 112 305 39 221 39C160 39 119 71 97 89C88 97 80 96 71 90C59 80 50 67 49 57C48 45 52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z" id="g113-54"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g></svg>, hard thresholding function.</div>

Mathematical Problems in Engineering

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Figure 2: A New Wavelet Threshold Determination Method Considering Interscale Correlation in Signal Denoising 