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