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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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11 <title>What are LTPDA spectral windows? (LTPDA Toolbox)</title>
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20
21 <p style="font-size:1px;">&nbsp;</p>
22
23 <table class="nav" summary="Navigation aid" border="0" width=
24 "100%" cellpadding="0" cellspacing="0">
25 <tr>
26 <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td>
27
28 <td valign="baseline" align="right"><a href=
29 "specwin.html"><img src="b_prev.gif" border="0" align=
30 "bottom" alt="Spectral Windows"></a>&nbsp;&nbsp;&nbsp;<a href=
31 "specwin_using.html"><img src="b_next.gif" border="0" align=
32 "bottom" alt="Using spectral windows"></a></td>
33 </tr>
34 </table>
35
36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>What are LTPDA spectral windows?</h1>
37 <hr>
38
39 <p>
40 <p>
41 MATLAB already contains a number of window functions suitable for spectral analysis. However,
42 these functions simply return vectors of window samples; no additional information is given.
43 It is also desirable to have more information about a window function, for example, its normalised
44 equivalent noise bandwidth (NENBW), its peak side-lobe level (PSLL), and its recommended overlap
45 (ROV).
46 </p>
47 <p>
48 The <a href="class_desc_specwin.html"><tt>specwin</tt></a> class implements many window
49 functions as class objects that contain many descriptive properties. The following table lists
50 the available window functions and some of their properties:
51 </p>
52 <div align="center">
53 <table cellspacing="0" class="body" cellpadding="4" border="2">
54 <colgroup>
55 <col width="37%">
56 <col width="63%">
57 </colgroup>
58 <thead>
59 <tr valign="top">
60 <th bgcolor="#B2B2B2">Window name</th>
61 <th bgcolor="#B2B2B2">NENBW</th>
62 <th bgcolor="#B2B2B2">PSLL [dB]</th>
63 <th bgcolor="#B2B2B2">ROV [%]</th>
64 </tr>
65 </thead>
66 <tbody>
67 <!-- Rectangular -->
68 <tr valign="top">
69 <td bgcolor="#F2F2F2">
70 <p>Rectangular</p>
71 </td>
72 <td bgcolor="#F2F2F2">
73 <p>1.000</p>
74 </td>
75 <td bgcolor="#F2F2F2">
76 <p>-13.3</p>
77 </td>
78 <td bgcolor="#F2F2F2">
79 <p>0.0</p>
80 </td>
81 </tr>
82 <!-- Welch -->
83 <tr valign="top">
84 <td bgcolor="#F2F2F2">
85 <p>Welch</p>
86 </td>
87 <td bgcolor="#F2F2F2">
88 <p>1.200</p>
89 </td>
90 <td bgcolor="#F2F2F2">
91 <p>-21.3</p>
92 </td>
93 <td bgcolor="#F2F2F2">
94 <p>29.3</p>
95 </td>
96 </tr>
97 <!-- Bartlett -->
98 <tr valign="top">
99 <td bgcolor="#F2F2F2">
100 <p>Bartlett</p>
101 </td>
102 <td bgcolor="#F2F2F2">
103 <p>1.333</p>
104 </td>
105 <td bgcolor="#F2F2F2">
106 <p>-26.5</p>
107 </td>
108 <td bgcolor="#F2F2F2">
109 <p>50.0</p>
110 </td>
111 </tr>
112 <!-- Hanning -->
113 <tr valign="top">
114 <td bgcolor="#F2F2F2">
115 <p>Hanning</p>
116 </td>
117 <td bgcolor="#F2F2F2">
118 <p>1.500</p>
119 </td>
120 <td bgcolor="#F2F2F2">
121 <p>-31.5</p>
122 </td>
123 <td bgcolor="#F2F2F2">
124 <p>50.0</p>
125 </td>
126 </tr>
127 <!-- Hamming -->
128 <tr valign="top">
129 <td bgcolor="#F2F2F2">
130 <p>Hamming</p>
131 </td>
132 <td bgcolor="#F2F2F2">
133 <p>1.363</p>
134 </td>
135 <td bgcolor="#F2F2F2">
136 <p>-42.7</p>
137 </td>
138 <td bgcolor="#F2F2F2">
139 <p>50.0</p>
140 </td>
141 </tr>
142 <!-- Nuttall3 -->
143 <tr valign="top">
144 <td bgcolor="#F2F2F2">
145 <p>Nuttall3</p>
146 </td>
147 <td bgcolor="#F2F2F2">
148 <p>1.944</p>
149 </td>
150 <td bgcolor="#F2F2F2">
151 <p>-46.7</p>
152 </td>
153 <td bgcolor="#F2F2F2">
154 <p>64.7</p>
155 </td>
156 </tr>
157 <!-- Nuttall4 -->
158 <tr valign="top">
159 <td bgcolor="#F2F2F2">
160 <p>Nuttall4</p>
161 </td>
162 <td bgcolor="#F2F2F2">
163 <p>2.310</p>
164 </td>
165 <td bgcolor="#F2F2F2">
166 <p>-60.9</p>
167 </td>
168 <td bgcolor="#F2F2F2">
169 <p>70.5</p>
170 </td>
171 </tr>
172 <!-- Nuttall3a -->
173 <tr valign="top">
174 <td bgcolor="#F2F2F2">
175 <p>Nuttall3a</p>
176 </td>
177 <td bgcolor="#F2F2F2">
178 <p>1.772</p>
179 </td>
180 <td bgcolor="#F2F2F2">
181 <p>-64.2</p>
182 </td>
183 <td bgcolor="#F2F2F2">
184 <p>61.2</p>
185 </td>
186 </tr>
187 <!-- Nuttall3b -->
188 <tr valign="top">
189 <td bgcolor="#F2F2F2">
190 <p>Nuttall3b</p>
191 </td>
192 <td bgcolor="#F2F2F2">
193 <p>1.704</p>
194 </td>
195 <td bgcolor="#F2F2F2">
196 <p>-71.5</p>
197 </td>
198 <td bgcolor="#F2F2F2">
199 <p>59.8</p>
200 </td>
201 </tr>
202 <!-- Nuttall4a -->
203 <tr valign="top">
204 <td bgcolor="#F2F2F2">
205 <p>Nuttall4a</p>
206 </td>
207 <td bgcolor="#F2F2F2">
208 <p>2.125</p>
209 </td>
210 <td bgcolor="#F2F2F2">
211 <p>-82.6</p>
212 </td>
213 <td bgcolor="#F2F2F2">
214 <p>68.0</p>
215 </td>
216 </tr>
217 <!-- Nuttall4b -->
218 <tr valign="top">
219 <td bgcolor="#F2F2F2">
220 <p>Nuttall4b</p>
221 </td>
222 <td bgcolor="#F2F2F2">
223 <p>2.021</p>
224 </td>
225 <td bgcolor="#F2F2F2">
226 <p>-93.3</p>
227 </td>
228 <td bgcolor="#F2F2F2">
229 <p>66.3</p>
230 </td>
231 </tr>
232 <!-- Nuttall4c -->
233 <tr valign="top">
234 <td bgcolor="#F2F2F2">
235 <p>Nuttall4c</p>
236 </td>
237 <td bgcolor="#F2F2F2">
238 <p>1.976</p>
239 </td>
240 <td bgcolor="#F2F2F2">
241 <p>-98.1</p>
242 </td>
243 <td bgcolor="#F2F2F2">
244 <p>65.6</p>
245 </td>
246 </tr>
247 <!-- BH92 -->
248 <tr valign="top">
249 <td bgcolor="#F2F2F2">
250 <p>BH92</p>
251 </td>
252 <td bgcolor="#F2F2F2">
253 <p>2.004</p>
254 </td>
255 <td bgcolor="#F2F2F2">
256 <p>-92.0</p>
257 </td>
258 <td bgcolor="#F2F2F2">
259 <p>66.1</p>
260 </td>
261 </tr>
262 <!-- SFT3F -->
263 <tr valign="top">
264 <td bgcolor="#F2F2F2">
265 <p>SFT3F</p>
266 </td>
267 <td bgcolor="#F2F2F2">
268 <p>3.168</p>
269 </td>
270 <td bgcolor="#F2F2F2">
271 <p>-31.7</p>
272 </td>
273 <td bgcolor="#F2F2F2">
274 <p>66.7</p>
275 </td>
276 </tr>
277 <!-- SFT3M -->
278 <tr valign="top">
279 <td bgcolor="#F2F2F2">
280 <p>SFT3M</p>
281 </td>
282 <td bgcolor="#F2F2F2">
283 <p>2.945</p>
284 </td>
285 <td bgcolor="#F2F2F2">
286 <p>-44.2</p>
287 </td>
288 <td bgcolor="#F2F2F2">
289 <p>65.5</p>
290 </td>
291 </tr>
292 <!-- FTNI -->
293 <tr valign="top">
294 <td bgcolor="#F2F2F2">
295 <p>FTNI</p>
296 </td>
297 <td bgcolor="#F2F2F2">
298 <p>2.966</p>
299 </td>
300 <td bgcolor="#F2F2F2">
301 <p>-44.4</p>
302 </td>
303 <td bgcolor="#F2F2F2">
304 <p>65.6</p>
305 </td>
306 </tr>
307 <!-- SFT4F -->
308 <tr valign="top">
309 <td bgcolor="#F2F2F2">
310 <p>SFT4F</p>
311 </td>
312 <td bgcolor="#F2F2F2">
313 <p>3.797</p>
314 </td>
315 <td bgcolor="#F2F2F2">
316 <p>-44.7</p>
317 </td>
318 <td bgcolor="#F2F2F2">
319 <p>75.0</p>
320 </td>
321 </tr>
322 <!-- SFT5F -->
323 <tr valign="top">
324 <td bgcolor="#F2F2F2">
325 <p>SFT5F</p>
326 </td>
327 <td bgcolor="#F2F2F2">
328 <p>4.341</p>
329 </td>
330 <td bgcolor="#F2F2F2">
331 <p>-57.3</p>
332 </td>
333 <td bgcolor="#F2F2F2">
334 <p>78.5</p>
335 </td>
336 </tr>
337 <!-- SFT4M -->
338 <tr valign="top">
339 <td bgcolor="#F2F2F2">
340 <p>SFT4M</p>
341 </td>
342 <td bgcolor="#F2F2F2">
343 <p>3.387</p>
344 </td>
345 <td bgcolor="#F2F2F2">
346 <p>-66.5</p>
347 </td>
348 <td bgcolor="#F2F2F2">
349 <p>72.1</p>
350 </td>
351 </tr>
352 <!-- FTHP -->
353 <tr valign="top">
354 <td bgcolor="#F2F2F2">
355 <p>FTHP</p>
356 </td>
357 <td bgcolor="#F2F2F2">
358 <p>3.428</p>
359 </td>
360 <td bgcolor="#F2F2F2">
361 <p>-70.4</p>
362 </td>
363 <td bgcolor="#F2F2F2">
364 <p>72.3</p>
365 </td>
366 </tr>
367 <!-- HFT70 -->
368 <tr valign="top">
369 <td bgcolor="#F2F2F2">
370 <p>HFT70</p>
371 </td>
372 <td bgcolor="#F2F2F2">
373 <p>3.413</p>
374 </td>
375 <td bgcolor="#F2F2F2">
376 <p>-70.4</p>
377 </td>
378 <td bgcolor="#F2F2F2">
379 <p>72.2</p>
380 </td>
381 </tr>
382 <!-- FTSRS -->
383 <tr valign="top">
384 <td bgcolor="#F2F2F2">
385 <p>FTSRS</p>
386 </td>
387 <td bgcolor="#F2F2F2">
388 <p>3.770</p>
389 </td>
390 <td bgcolor="#F2F2F2">
391 <p>-76.6</p>
392 </td>
393 <td bgcolor="#F2F2F2">
394 <p>75.4</p>
395 </td>
396 </tr>
397 <!-- SFT5M -->
398 <tr valign="top">
399 <td bgcolor="#F2F2F2">
400 <p>SFT5M</p>
401 </td>
402 <td bgcolor="#F2F2F2">
403 <p>3.885</p>
404 </td>
405 <td bgcolor="#F2F2F2">
406 <p>-89.9</p>
407 </td>
408 <td bgcolor="#F2F2F2">
409 <p>76.0</p>
410 </td>
411 </tr>
412 <!-- HFT90D -->
413 <tr valign="top">
414 <td bgcolor="#F2F2F2">
415 <p>HFT90D</p>
416 </td>
417 <td bgcolor="#F2F2F2">
418 <p>3.883</p>
419 </td>
420 <td bgcolor="#F2F2F2">
421 <p>-90.2</p>
422 </td>
423 <td bgcolor="#F2F2F2">
424 <p>76.0</p>
425 </td>
426 </tr>
427 <!-- HFT95 -->
428 <tr valign="top">
429 <td bgcolor="#F2F2F2">
430 <p>HFT95</p>
431 </td>
432 <td bgcolor="#F2F2F2">
433 <p>3.811</p>
434 </td>
435 <td bgcolor="#F2F2F2">
436 <p>-95.0</p>
437 </td>
438 <td bgcolor="#F2F2F2">
439 <p>75.6</p>
440 </td>
441 </tr>
442 <!-- HFT116D -->
443 <tr valign="top">
444 <td bgcolor="#F2F2F2">
445 <p>HFT116D</p>
446 </td>
447 <td bgcolor="#F2F2F2">
448 <p>4.219</p>
449 </td>
450 <td bgcolor="#F2F2F2">
451 <p>-116.8</p>
452 </td>
453 <td bgcolor="#F2F2F2">
454 <p>78.2</p>
455 </td>
456 </tr>
457 <!-- HFT144D -->
458 <tr valign="top">
459 <td bgcolor="#F2F2F2">
460 <p>HFT144D</p>
461 </td>
462 <td bgcolor="#F2F2F2">
463 <p>4.539</p>
464 </td>
465 <td bgcolor="#F2F2F2">
466 <p>-114.1</p>
467 </td>
468 <td bgcolor="#F2F2F2">
469 <p>79.9</p>
470 </td>
471 </tr>
472 <!-- HFT169D -->
473 <tr valign="top">
474 <td bgcolor="#F2F2F2">
475 <p>HFT169D</p>
476 </td>
477 <td bgcolor="#F2F2F2">
478 <p>4.835</p>
479 </td>
480 <td bgcolor="#F2F2F2">
481 <p>-169.5</p>
482 </td>
483 <td bgcolor="#F2F2F2">
484 <p>81.2</p>
485 </td>
486 </tr>
487 <!-- HFT196D -->
488 <tr valign="top">
489 <td bgcolor="#F2F2F2">
490 <p>HFT196D</p>
491 </td>
492 <td bgcolor="#F2F2F2">
493 <p>5.113</p>
494 </td>
495 <td bgcolor="#F2F2F2">
496 <p>-196.2</p>
497 </td>
498 <td bgcolor="#F2F2F2">
499 <p>82.3</p>
500 </td>
501 </tr>
502 <!-- HFT223D -->
503 <tr valign="top">
504 <td bgcolor="#F2F2F2">
505 <p>HFT223D</p>
506 </td>
507 <td bgcolor="#F2F2F2">
508 <p>5.389</p>
509 </td>
510 <td bgcolor="#F2F2F2">
511 <p>-223.0</p>
512 </td>
513 <td bgcolor="#F2F2F2">
514 <p>83.3</p>
515 </td>
516 </tr>
517 <!-- HFT248D -->
518 <tr valign="top">
519 <td bgcolor="#F2F2F2">
520 <p>HFT248D</p>
521 </td>
522 <td bgcolor="#F2F2F2">
523 <p>5.651</p>
524 </td>
525 <td bgcolor="#F2F2F2">
526 <p>-248.0</p>
527 </td>
528 <td bgcolor="#F2F2F2">
529 <p>84.1</p>
530 </td>
531 </tr>
532
533 </tbody>
534 </table>
535 </div>
536 <p>
537 In addition to these 'standard' windows, Kaiser windows can be designed to give a chosen
538 PSLL.
539 </p>
540
541
542 </p>
543
544 <br>
545 <br>
546 <table class="nav" summary="Navigation aid" border="0" width=
547 "100%" cellpadding="0" cellspacing="0">
548 <tr valign="top">
549 <td align="left" width="20"><a href="specwin.html"><img src=
550 "b_prev.gif" border="0" align="bottom" alt=
551 "Spectral Windows"></a>&nbsp;</td>
552
553 <td align="left">Spectral Windows</td>
554
555 <td>&nbsp;</td>
556
557 <td align="right">Using spectral windows</td>
558
559 <td align="right" width="20"><a href=
560 "specwin_using.html"><img src="b_next.gif" border="0" align=
561 "bottom" alt="Using spectral windows"></a></td>
562 </tr>
563 </table><br>
564
565 <p class="copy">&copy;LTP Team</p>
566 </body>
567 </html>