Kubke Lab:Research/ABR/Notebook/2013/10/29: Difference between revisions

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|style="background-color: #EEE"|[[Image:owwnotebook_icon.png|128px]]<span style="font-size:22px;"> Hearing development in barn owls</span>
|style="background-color: #EEE"|[[Image:owwnotebook_icon.png|128px]]<span style="font-size:22px;"> Hearing development in barn owls</span>
|style="background-color: #F2F2F2" align="center"|<html><img src="/images/9/94/Report.png" border="0" /></html> [[{{#sub:{{FULLPAGENAME}}|0|-11}}|Main project page]]<br />{{#if:{{#lnpreventry:{{FULLPAGENAME}}}}|<html><img src="/images/c/c3/Resultset_previous.png" border="0" /></html>[[{{#lnpreventry:{{FULLPAGENAME}}}}{{!}}Previous entry]]<html>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</html>}}{{#if:{{#lnnextentry:{{FULLPAGENAME}}}}|[[{{#lnnextentry:{{FULLPAGENAME}}}}{{!}}Next entry]]<html><img src="/images/5/5c/Resultset_next.png" border="0" /></html>}}
|style="background-color: #F2F2F2" align="center"|[[File:Report.png|frameless|link={{#sub:{{FULLPAGENAME}}|0|-11}}]][[{{#sub:{{FULLPAGENAME}}|0|-11}}|Main project page]]<br />{{#if:{{#lnpreventry:{{FULLPAGENAME}}}}|[[File:Resultset_previous.png|frameless|link={{#lnpreventry:{{FULLPAGENAME}}}}]][[{{#lnpreventry:{{FULLPAGENAME}}}}{{!}}Previous entry]]&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;}}{{#if:{{#lnnextentry:{{FULLPAGENAME}}}}|[[{{#lnnextentry:{{FULLPAGENAME}}}}{{!}}Next entry]][[File:Resultset_next.png|frameless|link={{#lnnextentry:{{FULLPAGENAME}}}}]]}}
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== Feedback from Andy ==
== Feedback from Andy ==


* Filter: Higher order is sharper cutoff.
* Filter: Higher order is sharper cutoff. A sharp butterworth would be a 5th or 6th order.  I wouldn't use any higher.


* Try an fft to see where the low pass cutoff should be. If the filter order is too high you get ringing. [ see http://t.co/QfrGaDjvj2 ]
* Try an fft to see where the low pass cutoff should be. If the filter order is too high you get ringing. [ see http://t.co/QfrGaDjvj2 ]
* entered wrong sampling rate - sampling rate is actually 50 kHz - need to recalculate the filters based on that. They are off by a factor of 10, so what says lowpassed at 100 is actually at 1k.


=Personal Entries=
=Personal Entries=

Latest revision as of 23:31, 26 September 2017

Hearing development in barn owls Main project page
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General Entries

  • Played around with filter() and butter() in library.signal MF Kubke 20:11, 28 October 2013 (EDT)

Feedback from Andy

  • Filter: Higher order is sharper cutoff. A sharp butterworth would be a 5th or 6th order. I wouldn't use any higher.
  • Try an fft to see where the low pass cutoff should be. If the filter order is too high you get ringing. [ see http://t.co/QfrGaDjvj2 ]
  • entered wrong sampling rate - sampling rate is actually 50 kHz - need to recalculate the filters based on that. They are off by a factor of 10, so what says lowpassed at 100 is actually at 1k.

Personal Entries

Fabiana

  • File 2013-10-29-MFK.Rmd

<html>

<body> <h1>Trying to apply a low pass filter to ABR data </h1>

<p>Using package signal</p>

<pre><code class="r">install.packages(&quot;signal&quot;) </code></pre>

<pre><code>## Error: trying to use CRAN without setting a mirror </code></pre>

<pre><code class="r">library(signal) </code></pre>

<pre><code>## Warning: package &#39;signal&#39; was built under R version 3.0.2 </code></pre>

<pre><code>## Loading required package: MASS

    1. Attaching package: &#39;signal&#39;
    2. The following object is masked from &#39;package:stats&#39;:
    3. filter, poly

</code></pre>

<p>Read test file</p>

<pre><code class="r">dir() </code></pre>

<pre><code>## [1] &quot;2013-10-27-MFK.Rmd&quot; &quot;2013-10-27.html&quot; &quot;2013-10-27.R&quot;

    1. [4] &quot;2013-10-27.txt&quot; &quot;2013-10-28-MFK.html&quot; &quot;2013-10-28-MFK.md&quot;
    2. [7] &quot;2013-10-28-MFK.Rmd&quot; &quot;2013-10-29-MFK.Rmd&quot; &quot;Copy189L0A.ABR&quot;
    3. [10] &quot;Copy224l0a.txt&quot; &quot;Copy233L0B.ABR.log&quot; &quot;Copy233L0B.ABR.txt&quot;
    4. [13] &quot;figure&quot; &quot;knitr-testr.html&quot; &quot;knitr-testr.md&quot;
    5. [16] &quot;knitr-testr.Rmd&quot; &quot;kntR2.html&quot; &quot;kntR2.md&quot;
    6. [19] &quot;kntR2.Rmd&quot; &quot;my first knitr.html&quot; &quot;my first knitr.md&quot;
    7. [22] &quot;my first knitr.Rmd&quot; &quot;mydata_new&quot; &quot;mydata_new.txt&quot;
    8. [25] &quot;readrawabr.R&quot; &quot;Sandbox1.R&quot; &quot;Sandbox1.txt&quot;
    9. [28] &quot;signal.pdf&quot; &quot;texput.log&quot;

</code></pre>

<pre><code class="r">mydata &lt;- read.table(&quot;Copy233L0B.ABR.txt&quot;, header = T) head(mydata) #passed test </code></pre>

<pre><code>## msec left right spont bin

    1. 1 0.00 1000 1000 1000 1000
    2. 2 0.02 1000 1000 1000 1000
    3. 3 0.04 1000 1000 1000 1000
    4. 4 0.06 1000 1000 1000 1000
    5. 5 0.08 1000 1000 1000 1000
    6. 6 0.10 1000 1000 1000 1000

</code></pre>

<pre><code class="r">write.table(mydata, &quot;mydata_new.txt&quot;) mydata_new &lt;- read.table(&quot;mydata_new&quot;, header = T) head(mydata_new) #passed test </code></pre>

<pre><code>## msec left right spont bin

    1. 1 0.00 1000 1000 1000 1000
    2. 2 0.02 1000 1000 1000 1000
    3. 3 0.04 1000 1000 1000 1000
    4. 4 0.06 1000 1000 1000 1000
    5. 5 0.08 1000 1000 1000 1000
    6. 6 0.10 1000 1000 1000 1000

</code></pre>

<pre><code class="r">mydata_new$bincomp[1:1000] &lt;- (mydata_new$bin[1:1000] - (mydata_new$left[1:1000] +

   mydata_new$right[1:1000]))

head(mydata_new) </code></pre>

<pre><code>## msec left right spont bin bincomp

    1. 1 0.00 1000 1000 1000 1000 -1000
    2. 2 0.02 1000 1000 1000 1000 -1000
    3. 3 0.04 1000 1000 1000 1000 -1000
    4. 4 0.06 1000 1000 1000 1000 -1000
    5. 5 0.08 1000 1000 1000 1000 -1000
    6. 6 0.10 1000 1000 1000 1000 -1000

</code></pre>

<pre><code class="r">write.table(mydata_new, &quot;mydata_new.txt&quot;) #passed test head(mydata_new) </code></pre>

<pre><code>## msec left right spont bin bincomp

    1. 1 0.00 1000 1000 1000 1000 -1000
    2. 2 0.02 1000 1000 1000 1000 -1000
    3. 3 0.04 1000 1000 1000 1000 -1000
    4. 4 0.06 1000 1000 1000 1000 -1000
    5. 5 0.08 1000 1000 1000 1000 -1000
    6. 6 0.10 1000 1000 1000 1000 -1000

</code></pre>

<p>Test plotting for comparison </p>

<pre><code class="r"> plot(mydata_new[c(1, 2)], type = &quot;l&quot;, main = &quot;original left&quot;) </code></pre>

<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-3"/> </p>

<p>Now - try to apply a low pass filterusing butter() to determine the properties of the filter. </p>

<pre><code class="r">bf &lt;- butter(3, 0.1) test1 &lt;- filter(bf, mydata_new$left)

par(mfrow = c(1, 2)) plot(mydata_new[c(1, 2)], type = &quot;l&quot;, main = &quot;original left&quot;) plot(test1, main = &quot;butter(3, 0.1)&quot;) </code></pre>

<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-4"/> </p>

<p>Test type = &ldquo;low&rdquo; vs type = &ldquo;high&rdquo;</p>

<pre><code class="r">bf &lt;- butter(3, 0.1, type = &quot;low&quot;) test1 &lt;- filter(bf, mydata_new$left)

par(mfrow = c(1, 2)) plot(test1, main = &quot;butter type low&quot;)

bf &lt;- butter(3, 0.1, type = &quot;high&quot;) test1 &lt;- filter(bf, mydata_new$left) plot(test1, main = &quot;butter type high&quot;) </code></pre>

<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-5"/> </p>

<p>(guess default is low then)</p>

<p>Try changing filter properties - change filter order (first argument in function)</p>

<pre><code class="r">par(mfrow = c(2, 2)) plot(mydata_new[c(1, 2)], type = &quot;l&quot;, main = &quot;original left&quot;)

bf &lt;- butter(1, 0.1, type = &quot;low&quot;) test1 &lt;- filter(bf, mydata_new$left) plot(test1, main = &quot;butter(1, 0.1)&quot;)

bf &lt;- butter(3, 0.1, type = &quot;low&quot;) test1 &lt;- filter(bf, mydata_new$left) plot(test1, main = &quot;butter(3, 0.1)&quot;)

bf &lt;- butter(15, 0.1, type = &quot;low&quot;) test1 &lt;- filter(bf, mydata_new$left) plot(test1, main = &quot;butter(30, 0.1)&quot;) </code></pre>

<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-6"/> </p>

<p>Not really sure what the order is doing - ????</p>

<p>Stick with filter order == 3, change crirical frequency W. W-&gt; [0-1] where 1 is the Nyquist frequency (&frac12; of the sampling rate )</p>

<pre><code class="r">head(mydata_new) </code></pre>

<pre><code>## msec left right spont bin bincomp

    1. 1 0.00 1000 1000 1000 1000 -1000
    2. 2 0.02 1000 1000 1000 1000 -1000
    3. 3 0.04 1000 1000 1000 1000 -1000
    4. 4 0.06 1000 1000 1000 1000 -1000
    5. 5 0.08 1000 1000 1000 1000 -1000
    6. 6 0.10 1000 1000 1000 1000 -1000

</code></pre>

<p>sampling rate =&gt; every 0.2 msec ()</p>

<p>Looks like sampling rate at 5 kHz =&gt; Nyquist = 2.5 KHz</p>

<pre><code class="r">par(mfrow = c(2, 2)) plot(mydata_new[c(1, 2)], type = &quot;l&quot;, main = &quot;original left&quot;)

bf &lt;- butter(3, 0.01, type = &quot;low&quot;) test1 &lt;- filter(bf, mydata_new$left) plot(test1, main = &quot;butter(3, 0.01 (25 Hz)&quot;)

bf &lt;- butter(3, 0.1, type = &quot;low&quot;) test1 &lt;- filter(bf, mydata_new$left) plot(test1, main = &quot;butter(3, 0.1 (250 Hz))&quot;)

bf &lt;- butter(3, 1, type = &quot;low&quot;) test1 &lt;- filter(bf, mydata_new$left) plot(test1, main = &quot;butter(30, 1 (2.5KHz))&quot;) </code></pre>

<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-8"/> </p>

<p>Try the first derivative on the 250 LP</p>

<pre><code class="r"> bf &lt;- butter(3, 0.1, type = &quot;low&quot;) mydata_new$leftlow &lt;- filter(bf, mydata_new$left)

par(mfrow = c(1, 3)) plot(mydata_new$msec, mydata_new$left, type = &quot;l&quot;, main = &quot;original left&quot;) plot(mydata_new$msec, mydata_new$leftlow, type = &quot;l&quot;, main = &quot;lowpassed left&quot;) mydata_new$diffleft2[2:1000] &lt;- diff(mydata_new$leftlow)/diff(mydata_new$msec) plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,

   main = &quot;first diff on lowpassed left&quot;)

</code></pre>

<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-9"/> </p>

<p>First deriv stil looks noisy - try different filters </p>

<pre><code class="r"> bf &lt;- butter(3, 0.04, type = &quot;low&quot;) mydata_new$leftlow &lt;- filter(bf, mydata_new$left)

par(mfrow = c(1, 3)) plot(mydata_new$msec, mydata_new$left, type = &quot;l&quot;, main = &quot;original left&quot;) plot(mydata_new$msec, mydata_new$leftlow, type = &quot;l&quot;, main = &quot;lowpassed 100 left&quot;) mydata_new$diffleft2[2:1000] &lt;- diff(mydata_new$leftlow)/diff(mydata_new$msec) plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,

   main = &quot;first diff on lowpassed left&quot;)

</code></pre>

<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-10"/> </p>

<pre><code class="r"> par(mfrow = c(1, 1))

plot(mydata_new$msec, mydata_new$diffleft2, ylim = c(-3000, 3000), type = &quot;l&quot;,

   main = &quot;first diff on lowpassed left&quot;)

</code></pre>

<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-10"/> </p>

<p>Mmmmmmm&hellip;.</p>

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