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31 <p class=
"p1"><span class=
"s1"><b>Signal
<span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></b></span><b>sampled audio buffer
</b></p>
32 <p class=
"p2"><br></p>
33 <p class=
"p3"><span class=
"s2"><b>Inherits from:
</b><a href=
"../Core/Object.html"><b>Object
</b></a><b> :
</b><a href=
"Collection.html"><b>Collection
</b></a></span><span class=
"s3"><b> :
</b></span><span class=
"s2"><b> </b><a href=
"SequenceableCollection.html"><b>SequenceableCollection
</b></a></span><span class=
"s3"><b> :
</b><a href=
"ArrayedCollection.html"><span class=
"s4"><b>ArrayedCollection
</b></span></a> :
<a href=
"RawArray.html"><span class=
"s5"><b>RawArray
</b></span></a></span><span class=
"s2"> :
<a href=
"FloatArray.html"><span class=
"s3"><b>FloatArray
</b></span></a></span></p>
34 <p class=
"p4"><br></p>
35 <p class=
"p1">A Signal is a FloatArray that represents a sampled function of time buffer.
<span class=
"Apple-converted-space"> </span></p>
36 <p class=
"p1">Signals support math operations.
</p>
37 <p class=
"p4"><br></p>
38 <p class=
"p1">See also:
<a href=
"Wavetable.html"><span class=
"s3">Wavetable
</span></a></p>
39 <p class=
"p4"><br></p>
40 <p class=
"p4"><br></p>
41 <p class=
"p5"><b><i>Creation
</i></b></p>
42 <p class=
"p4"><br></p>
43 <p class=
"p1"><b>*sineFill(size, amplitudes, phases)
</b></p>
44 <p class=
"p4"><br></p>
45 <p class=
"p1">Fill a Signal of the given size with a sum of sines at the given amplitudes and phases.
</p>
46 <p class=
"p1">The Signal will be normalized.
</p>
47 <p class=
"p1"><b>size
</b> - the number of samples in the Signal.
</p>
48 <p class=
"p1"><b>amplitudes
</b> - an Array of amplitudes for each harmonic beginning with the fundamental.
</p>
49 <p class=
"p1"><b>phases
</b> - an Array of phases in radians for each harmonic beginning with the fundamental.
</p>
50 <p class=
"p6"><br></p>
51 <p class=
"p7"><span class=
"s3">Signal
</span>.sineFill(
1000,
1.0/[
1,
2,
3,
4,
5,
6]).plot;
</p>
52 <p class=
"p8"><br></p>
53 <p class=
"p4"><br></p>
54 <p class=
"p1"><b>*chebyFill(size, amplitudes, phases)
</b></p>
55 <p class=
"p4"><br></p>
56 <p class=
"p1">Fill a Signal of the given size with a sum of Chebyshev polynomials at the given amplitudes.
</p>
57 <p class=
"p1">For eventual use in waveshaping by the Shaper ugen; see Shaper helpfile and Buffer:cheby too.
</p>
58 <p class=
"p1"><b>size
</b> - the number of samples in the Signal.
</p>
59 <p class=
"p1"><b>amplitudes
</b> - an Array of amplitudes for each Chebyshev polynomial beginning with order
1.
</p>
60 <p class=
"p6"><br></p>
61 <p class=
"p7"><span class=
"s3">Signal
</span>.chebyFill(
1000, [
1]).plot;
</p>
62 <p class=
"p6"><br></p>
63 <p class=
"p7"><span class=
"s3">Signal
</span>.chebyFill(
1000, [
0,
1]).plot;
</p>
64 <p class=
"p6"><br></p>
65 <p class=
"p7"><span class=
"s3">Signal
</span>.chebyFill(
1000, [
0,
0,
1]).plot;
</p>
66 <p class=
"p6"><br></p>
67 <p class=
"p7"><span class=
"s3">Signal
</span>.chebyFill(
1000, [
0.3, -
0.8,
1.1]).plot;
</p>
68 <p class=
"p6"><br></p>
69 <p class=
"p6"><br></p>
70 <p class=
"p1"><b>*hanningWindow(size, pad)
</b></p>
71 <p class=
"p4"><br></p>
72 <p class=
"p1">Fill a Signal of the given size with a Hanning window.
</p>
73 <p class=
"p1"><b>size
</b> - the number of samples in the Signal.
</p>
74 <p class=
"p1"><b>pad
</b> - the number of samples of the size that is zero padding.
</p>
75 <p class=
"p6"><br></p>
76 <p class=
"p7"><span class=
"s3">Signal
</span>.hanningWindow(
1024).plot;
</p>
77 <p class=
"p6"><br></p>
78 <p class=
"p7"><span class=
"s3">Signal
</span>.hanningWindow(
1024,
512).plot;
</p>
79 <p class=
"p6"><br></p>
80 <p class=
"p6"><br></p>
81 <p class=
"p1"><b>*hammingWindow(size)
</b></p>
82 <p class=
"p4"><br></p>
83 <p class=
"p1">Fill a Signal of the given size with a Hamming window.
</p>
84 <p class=
"p1"><b>size
</b> - the number of samples in the Signal.
</p>
85 <p class=
"p1"><b>pad
</b> - the number of samples of the size that is zero padding.
</p>
86 <p class=
"p6"><br></p>
87 <p class=
"p7"><span class=
"s3">Signal
</span>.hammingWindow(
1024).plot;
</p>
88 <p class=
"p6"><br></p>
89 <p class=
"p7"><span class=
"s3">Signal
</span>.hammingWindow(
1024,
512).plot;
</p>
90 <p class=
"p6"><br></p>
91 <p class=
"p6"><br></p>
92 <p class=
"p1"><b>*welchWindow(size)
</b></p>
93 <p class=
"p4"><br></p>
94 <p class=
"p1">Fill a Signal of the given size with a Welch window.
</p>
95 <p class=
"p1"><b>size
</b> - the number of samples in the Signal.
</p>
96 <p class=
"p1"><b>pad
</b> - the number of samples of the size that is zero padding.
</p>
97 <p class=
"p6"><br></p>
98 <p class=
"p7"><span class=
"s3">Signal
</span>.welchWindow(
1024).plot;
</p>
99 <p class=
"p6"><br></p>
100 <p class=
"p7"><span class=
"s3">Signal
</span>.welchWindow(
1024,
512).plot;
</p>
101 <p class=
"p6"><br></p>
102 <p class=
"p6"><br></p>
103 <p class=
"p1"><b>*rectWindow(size)
</b></p>
104 <p class=
"p4"><br></p>
105 <p class=
"p1">Fill a Signal of the given size with a rectangular window.
</p>
106 <p class=
"p1"><b>size
</b> - the number of samples in the Signal.
</p>
107 <p class=
"p1"><b>pad
</b> - the number of samples of the size that is zero padding.
</p>
108 <p class=
"p6"><br></p>
109 <p class=
"p7"><span class=
"s3">Signal
</span>.rectWindow(
1024).plot;
</p>
110 <p class=
"p6"><br></p>
111 <p class=
"p7"><span class=
"s3">Signal
</span>.rectWindow(
1024,
512).plot;
</p>
112 <p class=
"p6"><br></p>
113 <p class=
"p6"><br></p>
114 <p class=
"p6"><br></p>
115 <p class=
"p6"><br></p>
116 <p class=
"p6"><br></p>
117 <p class=
"p6"><br></p>
118 <p class=
"p5"><b><i>Instance Methods
</i></b></p>
119 <p class=
"p4"><br></p>
120 <p class=
"p1"><b>plot(name, bounds)
</b></p>
121 <p class=
"p4"><br></p>
122 <p class=
"p1">Plot the Signal in a window. The arguments are not required and if not given defaults will be used.
</p>
123 <p class=
"p1"><b>name
</b> - a String, the name of the window.
</p>
124 <p class=
"p1"><b>bounds
</b> - a Rect giving the bounds of the window.
</p>
125 <p class=
"p6"><br></p>
126 <p class=
"p7"><span class=
"s3">Signal
</span>.sineFill(
512, [
1]).plot;
</p>
127 <p class=
"p6"><br></p>
128 <p class=
"p7"><span class=
"s3">Signal
</span>.sineFill(
512, [
1]).plot(
<span class=
"s6">"Signal 1"</span>,
<span class=
"s3">Rect
</span>(
50,
50,
150,
450));
</p>
129 <p class=
"p6"><br></p>
130 <p class=
"p6"><br></p>
131 <p class=
"p1"><b>play(loop, mul, numChannels, server)
</b></p>
132 <p class=
"p4"><br></p>
133 <p class=
"p1">loads the signal into a buffer on the server and plays it.
<span class=
"Apple-converted-space"> </span></p>
134 <p class=
"p1">returns the buffer so you can free it again.
<span class=
"Apple-converted-space"> </span></p>
135 <p class=
"p1"><b>loop
</b> - A Boolean whether to loop the entire signal or play it once. Default is to loop.
</p>
136 <p class=
"p1"><b>mul
</b> - volume at which to play it,
0.2 by default.
</p>
137 <p class=
"p1"><b>numChannels
</b> - if the signal is an interleaved multichannel file, number of channels, default is
1.
</p>
138 <p class=
"p1"><b>server
</b> - the server on which to load the signal into a buffer.
<span class=
"Apple-converted-space"> </span></p>
139 <p class=
"p6"><br></p>
140 <p class=
"p7">b =
<span class=
"s3">Signal
</span>.sineFill(
512, [
1]).play(
<span class=
"s3">true
</span>,
0.2);
</p>
141 <p class=
"p9"><span class=
"s2">b.free;
<span class=
"Apple-tab-span"> </span></span>// free the buffer again.
<span class=
"Apple-converted-space"> </span></p>
142 <p class=
"p6"><br></p>
143 <p class=
"p6"><br></p>
144 <p class=
"p1"><b>waveFill(function, start, end)
</b></p>
145 <p class=
"p4"><br></p>
146 <p class=
"p1">Fill the Signal with a function evaluated over an interval.
</p>
147 <p class=
"p1"><b>function
</b> - a function that should calculate the value of a sample.
</p>
148 <p class=
"p1">The function is called with two arguments.
</p>
149 <p class=
"p1"><span class=
"Apple-tab-span"> </span><b>x
</b> - the value along the interval.
</p>
150 <p class=
"p1"><span class=
"Apple-tab-span"> </span><b>i
</b> - the sample index.
</p>
151 <p class=
"p1"><b>start
</b> - the starting value of the interval
</p>
152 <p class=
"p1"><b>end
</b> - the ending value of the interval.
</p>
153 <p class=
"p6"><span class=
"Apple-tab-span"> </span></p>
155 <p class=
"p7">s =
<span class=
"s3">Signal
</span>.newClear(
512);
</p>
156 <p class=
"p7">s.waveFill({
<span class=
"s3">arg
</span> x, i; sin(x).max(
0) },
0,
3pi);
</p>
157 <p class=
"p7">s.plot;
</p>
159 <p class=
"p6"><br></p>
160 <p class=
"p1"><b>asWavetable
</b></p>
161 <p class=
"p4"><br></p>
162 <p class=
"p1">Convert the Signal into a Wavetable.
</p>
163 <p class=
"p6"><br></p>
164 <p class=
"p7"><span class=
"s3">Signal
</span>.sineFill(
512, [
1]).asWavetable.plot;
</p>
165 <p class=
"p6"><br></p>
166 <p class=
"p6"><br></p>
167 <p class=
"p1"><b>fill(val)
</b></p>
168 <p class=
"p4"><br></p>
169 <p class=
"p1">Fill the Signal with a value.
</p>
170 <p class=
"p6"><br></p>
171 <p class=
"p7"><span class=
"s3">Signal
</span>.newClear(
512).fill(
0.2).plot;
</p>
172 <p class=
"p6"><br></p>
173 <p class=
"p6"><br></p>
174 <p class=
"p1"><b>scale(scale)
</b></p>
175 <p class=
"p4"><br></p>
176 <p class=
"p1">Scale the Signal by a factor
<b>in place
</b>.
</p>
177 <p class=
"p6"><br></p>
178 <p class=
"p7">a =
<span class=
"s3">Signal
</span>[
1,
2,
3,
4];
</p>
179 <p class=
"p7">a.scale(
0.5); a;
</p>
180 <p class=
"p6"><br></p>
181 <p class=
"p6"><br></p>
182 <p class=
"p1"><b>offset(offset)
</b></p>
183 <p class=
"p4"><br></p>
184 <p class=
"p1">Offset the Signal by a value
<b>in place
</b>.
</p>
185 <p class=
"p6"><br></p>
186 <p class=
"p7">a =
<span class=
"s3">Signal
</span>[
1,
2,
3,
4];
</p>
187 <p class=
"p7">a.offset(
0.5); a;
</p>
188 <p class=
"p6"><br></p>
189 <p class=
"p6"><br></p>
190 <p class=
"p1"><b>peak
</b></p>
191 <p class=
"p4"><br></p>
192 <p class=
"p1">Return the peak absolute value of a Signal.
</p>
193 <p class=
"p6"><br></p>
194 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2, -
3,
2.5].peak;
</p>
195 <p class=
"p6"><br></p>
196 <p class=
"p6"><br></p>
197 <p class=
"p1"><b>normalize
</b></p>
198 <p class=
"p4"><br></p>
199 <p class=
"p1">Normalize the Signal
<b>in place
</b> such that the maximum absolute peak value is
1.
</p>
200 <p class=
"p6"><br></p>
201 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2, -
4,
2.5].normalize;
</p>
202 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2, -
4,
2.5].normalize(
0,
1);
<span class=
"Apple-tab-span"> </span><span class=
"s7">// normalize only a range
</span></p>
203 <p class=
"p6"><br></p>
204 <p class=
"p6"><br></p>
205 <p class=
"p1"><b>normalizeTransfer
</b></p>
206 <p class=
"p4"><br></p>
207 <p class=
"p1">Normalizes a transfer function so that the center value of the table is offset to zero
</p>
208 <p class=
"p1">and the absolute peak value is
1. Transfer functions are meant to be used in the
<span class=
"Apple-converted-space"> </span></p>
209 <p class=
"p1">Shaper ugen.
</p>
210 <p class=
"p6"><br></p>
211 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2,
3,
2.5,
1].normalizeTransfer;
</p>
212 <p class=
"p6"><br></p>
213 <p class=
"p1"><b>invert
</b></p>
214 <p class=
"p4"><br></p>
215 <p class=
"p1">Invert the Signal
<b>in place
</b>.
</p>
216 <p class=
"p6"><br></p>
217 <p class=
"p7">a =
<span class=
"s3">Signal
</span>[
1,
2,
3,
4];
</p>
218 <p class=
"p7">a.invert(
0.5); a;
</p>
219 <p class=
"p6"><br></p>
220 <p class=
"p6"><br></p>
221 <p class=
"p1"><b>reverse(beginSamp, endSamp)
</b></p>
222 <p class=
"p4"><br></p>
223 <p class=
"p1">Reverse a subrange of the Signal
<b>in place
</b>.
</p>
224 <p class=
"p6"><br></p>
225 <p class=
"p7">a =
<span class=
"s3">Signal
</span>[
1,
2,
3,
4];
</p>
226 <p class=
"p7">a.reverse(
1,
2); a;
</p>
227 <p class=
"p6"><br></p>
228 <p class=
"p6"><br></p>
229 <p class=
"p1"><b>fade(beginSamp, endSamp, beginLevel, endLevel)
</b></p>
230 <p class=
"p4"><br></p>
231 <p class=
"p1">Fade a subrange of the Signal
<b>in place
</b>.
</p>
232 <p class=
"p6"><br></p>
233 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
1);
</p>
234 <p class=
"p7">a.fade(
0,
3);
<span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"s7">// fade in
</span></p>
235 <p class=
"p7">a.fade(
6,
9,
1,
0);
<span class=
"Apple-tab-span"> </span><span class=
"s7">// fade out
</span></p>
236 <p class=
"p6"><br></p>
237 <p class=
"p6"><br></p>
238 <p class=
"p1"><b>integral
</b></p>
239 <p class=
"p4"><br></p>
240 <p class=
"p1">Return the integral of a signal.
</p>
241 <p class=
"p6"><br></p>
242 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2,
3,
4].integral;
</p>
243 <p class=
"p6"><br></p>
244 <p class=
"p6"><br></p>
245 <p class=
"p1"><b>overDub(aSignal, index)
</b></p>
246 <p class=
"p4"><br></p>
247 <p class=
"p1">Add a signal to myself starting at the index.
</p>
248 <p class=
"p1">If the other signal is too long only the first part is overdubbed.
</p>
249 <p class=
"p6"><br></p>
250 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
251 <p class=
"p7">a.overDub(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4],
3);
</p>
252 <p class=
"p6"><span class=
"Apple-tab-span"> </span></p>
253 <p class=
"p9"><span class=
"s2"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// run out of range
</p>
254 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
255 <p class=
"p7">a.overDub(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4],
8);
<span class=
"Apple-tab-span"> </span></p>
256 <p class=
"p6"><br></p>
257 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
258 <p class=
"p7">a.overDub(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4], -
4);
<span class=
"Apple-tab-span"> </span></p>
259 <p class=
"p6"><br></p>
260 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
261 <p class=
"p7">a.overDub(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4], -
1);
<span class=
"Apple-tab-span"> </span></p>
262 <p class=
"p6"><br></p>
263 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
264 <p class=
"p7">a.overDub(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4], -
2);
<span class=
"Apple-tab-span"> </span></p>
265 <p class=
"p6"><br></p>
266 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
4,
100);
</p>
267 <p class=
"p7">a.overDub(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4,
5,
6,
7,
8], -
2);
<span class=
"Apple-tab-span"> </span></p>
268 <p class=
"p6"><br></p>
269 <p class=
"p6"><br></p>
270 <p class=
"p1"><b>overWrite(aSignal, index)
</b></p>
271 <p class=
"p4"><br></p>
272 <p class=
"p1">Write a signal to myself starting at the index.
</p>
273 <p class=
"p1">If the other signal is too long only the first part is overdubbed.
</p>
274 <p class=
"p6"><br></p>
275 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
276 <p class=
"p7">a.overWrite(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4],
3);
</p>
277 <p class=
"p6"><span class=
"Apple-tab-span"> </span></p>
278 <p class=
"p9"><span class=
"s2"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// run out of range
</p>
279 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
280 <p class=
"p7">a.overWrite(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4],
8);
<span class=
"Apple-tab-span"> </span></p>
281 <p class=
"p6"><br></p>
282 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
283 <p class=
"p7">a.overWrite(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4], -
4);
<span class=
"Apple-tab-span"> </span></p>
284 <p class=
"p6"><br></p>
285 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
286 <p class=
"p7">a.overWrite(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4], -
1);
<span class=
"Apple-tab-span"> </span></p>
287 <p class=
"p6"><br></p>
288 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
10,
100);
</p>
289 <p class=
"p7">a.overWrite(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4], -
2);
<span class=
"Apple-tab-span"> </span></p>
290 <p class=
"p6"><br></p>
291 <p class=
"p7">a =
<span class=
"s3">Signal
</span>.fill(
4,
100);
</p>
292 <p class=
"p7">a.overWrite(
<span class=
"s3">Signal
</span>[
1,
2,
3,
4,
5,
6,
7,
8], -
2);
<span class=
"Apple-tab-span"> </span></p>
293 <p class=
"p6"><br></p>
294 <p class=
"p6"><br></p>
295 <p class=
"p1"><b>blend(aSignal, blend)
</b></p>
296 <p class=
"p4"><br></p>
297 <p class=
"p1">Blend two signals by some proportion.
</p>
298 <p class=
"p6"><br></p>
299 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2,
3,
4].blend(
<span class=
"s3">Signal
</span>[
5,
5,
5,
0],
0);
</p>
300 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2,
3,
4].blend(
<span class=
"s3">Signal
</span>[
5,
5,
5,
0],
0.2);
</p>
301 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2,
3,
4].blend(
<span class=
"s3">Signal
</span>[
5,
5,
5,
0],
0.4);
</p>
302 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2,
3,
4].blend(
<span class=
"s3">Signal
</span>[
5,
5,
5,
0],
1);
</p>
303 <p class=
"p7"><span class=
"s3">Signal
</span>[
1,
2,
3,
4].blend(
<span class=
"s3">Signal
</span>[
5,
5,
5,
0],
2);
</p>
304 <p class=
"p6"><br></p>
305 <p class=
"p6"><br></p>
306 <p class=
"p6"><br></p>
307 <p class=
"p6"><br></p>
308 <p class=
"p5"><b><i>Fourier Transform:
</i></b></p>
309 <p class=
"p10"><br></p>
310 <p class=
"p10"><br></p>
311 <p class=
"p1"><b>*fftCosTable(size)
</b></p>
312 <p class=
"p4"><br></p>
313 <p class=
"p1">Fill a Signal with the cosine table needed by the FFT methods.
</p>
314 <p class=
"p4"><br></p>
315 <p class=
"p7"><span class=
"s3">Signal
</span>.fftCosTable(
512).plot;
</p>
316 <p class=
"p4"><br></p>
317 <p class=
"p4"><br></p>
318 <p class=
"p1"><b>fft(imag, cosTable)
</b></p>
319 <p class=
"p4"><br></p>
320 <p class=
"p1">Perform an FFT on a real and imaginary signal
<b>in place
</b>.
</p>
321 <p class=
"p4"><br></p>
323 <p class=
"p7"><span class=
"s3">var
</span> size =
512, real, imag, cosTable, complex;
<span class=
"Apple-converted-space"> </span></p>
324 <p class=
"p6"><br></p>
325 <p class=
"p7">real =
<span class=
"s3">Signal
</span>.newClear(size);
<span class=
"Apple-converted-space"> </span></p>
326 <p class=
"p9"><span class=
"s2"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// some harmonics
</p>
327 <p class=
"p7">real.sineFill2([[
8], [
13,
0.5], [
21,
0.25], [
55,
0.125,
0.5pi]]);
</p>
328 <p class=
"p9"><span class=
"s2"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// add a little noise
</p>
329 <p class=
"p7">real.overDub(
<span class=
"s3">Signal
</span>.fill(size, {
0.2.bilinrand }));
</p>
330 <p class=
"p6"><br></p>
331 <p class=
"p7">imag =
<span class=
"s3">Signal
</span>.newClear(size);
</p>
332 <p class=
"p7">cosTable =
<span class=
"s3">Signal
</span>.fftCosTable(size);
</p>
333 <p class=
"p6"><br></p>
334 <p class=
"p7">complex = fft(real, imag, cosTable);
<span class=
"Apple-converted-space"> </span></p>
335 <p class=
"p7">[real, imag, (complex.magnitude) /
100 ].flop.flat
</p>
336 <p class=
"p7"><span class=
"Apple-tab-span"> </span>.plot(
<span class=
"s6">"fft"</span>,
<span class=
"s3">Rect
</span>(
0,
0,
512 +
8,
500), numChannels:
3);
</p>
338 <p class=
"p8"><br></p>
339 <p class=
"p8"><br></p>
340 <p class=
"p1"><b>ifft(imag, cosTable)
</b></p>
341 <p class=
"p4"><br></p>
342 <p class=
"p1">Perform an inverse FFT on a real and imaginary signal
<b>in place
</b>.
</p>
343 <p class=
"p4"><br></p>
345 <p class=
"p7"><span class=
"s3">var
</span> size =
512, real, imag, cosTable, complex, ifft;
<span class=
"Apple-converted-space"> </span></p>
346 <p class=
"p6"><br></p>
347 <p class=
"p7">real =
<span class=
"s3">Signal
</span>.newClear(size);
<span class=
"Apple-converted-space"> </span></p>
348 <p class=
"p9"><span class=
"s2"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// some harmonics
</p>
349 <p class=
"p7">real.sineFill2([[
8], [
13,
0.5], [
21,
0.25], [
55,
0.125,
0.5pi]]);
</p>
350 <p class=
"p9"><span class=
"s2"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// add a little noise
</p>
351 <p class=
"p7">real.overDub(
<span class=
"s3">Signal
</span>.fill(size, {
0.2.bilinrand }));
</p>
352 <p class=
"p6"><br></p>
353 <p class=
"p7">imag =
<span class=
"s3">Signal
</span>.newClear(size);
</p>
354 <p class=
"p7">cosTable =
<span class=
"s3">Signal
</span>.fftCosTable(size);
</p>
355 <p class=
"p6"><br></p>
356 <p class=
"p7">complex = fft(real, imag, cosTable).postln;
</p>
357 <p class=
"p7">ifft = complex.real.ifft(complex.imag, cosTable);
</p>
358 <p class=
"p6"><br></p>
359 <p class=
"p7">[real, ifft.real].flop.flat.plot(
<span class=
"s6">"fft and back"</span>,
<span class=
"s3">Rect
</span>(
0,
0,
512 +
8,
500), numChannels:
2);
</p>
361 <p class=
"p6"><br></p>
362 <p class=
"p6"><br></p>
363 <p class=
"p4"><br></p>
364 <p class=
"p4"><br></p>
365 <p class=
"p5"><b><i>Unary Messages:
</i></b></p>
366 <p class=
"p4"><br></p>
367 <p class=
"p1">Signal will respond to unary operators by returning a new Signal.
</p>
368 <p class=
"p4"><br></p>
369 <p class=
"p1"><b>neg, abs, sign, squared, cubed, sqrt
</b></p>
370 <p class=
"p1"><b>exp, log, log2, log10, sin, cos, tan, asin, acos, atan, sinh, cosh, tanh,
<span class=
"Apple-converted-space"> </span></b></p>
371 <p class=
"p1"><b>distort, softclip, nyqring, isPositive, isNegative,
<span class=
"Apple-converted-space"> </span></b></p>
372 <p class=
"p1"><b>isStrictlyPositive
</b></p>
373 <p class=
"p4"><br></p>
374 <p class=
"p7">x =
<span class=
"s3">Signal
</span>.sineFill(
512, [
0,
0,
0,
1]);
</p>
375 <p class=
"p7">[x, x.neg, x.abs, x.sign, x.squared, x.cubed,
<span class=
"Apple-converted-space"> </span></p>
376 <p class=
"p7">x.asin.normalize, x.exp.normalize, x.distort].flop.flat.plot(numChannels:
9);
</p>
377 <p class=
"p8"><br></p>
378 <p class=
"p8"><br></p>
379 <p class=
"p8"><br></p>
380 <p class=
"p4"><br></p>
381 <p class=
"p5"><b><i>Binary Messages:
</i></b></p>
382 <p class=
"p10"><br></p>
383 <p class=
"p1">Signal will respond to binary operators by returning a new Signal.
</p>
384 <p class=
"p4"><br></p>
385 <p class=
"p1"><b>+, -, *, /, div, %, **, min, max, ring1, ring2, ring3, ring4,
<span class=
"Apple-converted-space"> </span></b></p>
386 <p class=
"p1"><b>difsqr, sumsqr, sqrdif, absdif, amclip,
<span class=
"Apple-converted-space"> </span></b></p>
387 <p class=
"p1"><b>scaleneg, clip2, excess,
<!
</b></p>
388 <p class=
"p4"><br></p>
390 <p class=
"p7">x = Signal.fill(
512, { rrand(
0.0,
1.0) });
</p>
391 <p class=
"p7">y = Signal.fill(
512, { |i| (i * pi /
64).sin });
</p>
392 <p class=
"p7">[x, y, (x + y) *
0.5, x * y, min(x, y), max(x, y) ].flop.flat.plot(numChannels:
6);
</p>
393 <p class=
"p7">)
<span class=
"Apple-converted-space"> </span></p>
