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<!DOCTYPE html
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PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN">
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<html xmlns:mwsh="http://www.mathworks.com/namespace/mcode/v1/syntaxhighlight.dtd"> |
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<head>
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<meta http-equiv="Content-Type" content="text/html; charset=utf-8"> |
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<!--
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This HTML is auto-generated from an M-file.
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To make changes, update the M-file and republish this document.
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-->
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<title>myConv</title> |
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<meta name="generator" content="MATLAB 7.6"> |
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<meta name="date" content="2011-06-05"> |
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<meta name="m-file" content="myConv"><style> |
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/* Make the text shrink to fit narrow windows, but not stretch too far in
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wide windows. */
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p,h1,h2,div.content div {
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max-width: 600px;
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width: auto !important; width: 600px;
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}
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</style></head> |
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<body>
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<div class="content"> |
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<h2>Contents</h2> |
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<div>
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<ul>
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<li><a href="#3">testing convolution speculation</a></li> |
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<li><a href="#4">convolution function</a></li> |
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<li><a href="#5">normalise conv function</a></li> |
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<li><a href="#6">adjust for spike current</a></li> |
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<li><a href="#7">convolution</a></li> |
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</ul>
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</div><pre class="codeinput">signalDuration=.1; |
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spikeTime= signalDuration/2; |
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<span class="keyword">for</span> sampleRate=[1000 2000]; |
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</pre><pre class="codeinput"> disp([<span class="string">'sample rate= '</span> num2str(sampleRate)]) |
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</pre><pre class="codeoutput">sample rate= 1000 |
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</pre><pre class="codeoutput">sample rate= 2000 |
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</pre><h2>testing convolution speculation<a name="3"></a></h2><pre class="codeinput">dt= 1/sampleRate; |
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signalLength=round(signalDuration/dt); |
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spikeArray=zeros(1,signalLength); |
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spikeLocation=round(spikeTime/dt); |
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spikeArray(spikeLocation)=1; |
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disp([<span class="string">'length of spike array= '</span> num2str(length(spikeArray))]) |
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t=dt*(1:length(spikeArray)); |
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plot(t, spikeArray) |
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</pre><pre class="codeoutput">length of spike array= 100 |
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</pre><img vspace="5" hspace="5" src="myConv_01.png"> <pre class="codeoutput">length of spike array= 200 |
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</pre><img vspace="5" hspace="5" src="myConv_06.png"> <h2>convolution function<a name="4"></a></h2><pre class="codeinput">CNspikeToCurrentTau=0.01; |
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t=dt:dt:3*CNspikeToCurrentTau; |
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CNalphaFunction=<span class="keyword">...</span> |
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(1/CNspikeToCurrentTau)*t.*exp(-t/CNspikeToCurrentTau); |
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plot(t, CNalphaFunction) |
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</pre><img vspace="5" hspace="5" src="myConv_02.png"> <img vspace="5" hspace="5" src="myConv_07.png"> <h2>normalise conv function<a name="5"></a></h2><pre class="codeinput">CNalphaFunction=CNalphaFunction/sum(CNalphaFunction); |
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plot(t, CNalphaFunction) |
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disp([<span class="string">'area under function= '</span> num2str(sum(CNalphaFunction))]) |
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</pre><pre class="codeoutput">area under function= 1 |
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</pre><img vspace="5" hspace="5" src="myConv_03.png"> <pre class="codeoutput">area under function= 1 |
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</pre><img vspace="5" hspace="5" src="myConv_08.png"> <h2>adjust for spike current<a name="6"></a></h2><pre class="codeinput">CNcurrentPerSpike=2; |
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CNalphaFunction=CNalphaFunction*CNcurrentPerSpike; |
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plot(t, CNalphaFunction) |
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</pre><img vspace="5" hspace="5" src="myConv_04.png"> <img vspace="5" hspace="5" src="myConv_09.png"> <h2>convolution<a name="7"></a></h2><pre class="codeinput">result=conv(spikeArray,CNalphaFunction); |
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t=dt*(1:length(result)); |
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plot(t, result) |
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disp([<span class="string">'area under function= '</span> num2str(sum(result))]) |
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</pre><pre class="codeoutput">area under function= 2 |
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</pre><img vspace="5" hspace="5" src="myConv_05.png"> <pre class="codeoutput">area under function= 2 |
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</pre><img vspace="5" hspace="5" src="myConv_10.png"> <pre class="codeinput"><span class="keyword">end</span> |
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</pre><p class="footer"><br> |
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Published with MATLAB® 7.6<br></p> |
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</div>
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<!--
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##### SOURCE BEGIN #####
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signalDuration=.1;
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spikeTime= signalDuration/2;
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for sampleRate=[1000 2000];
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disp(['sample rate= ' num2str(sampleRate)])
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%% testing convolution speculation
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dt= 1/sampleRate;
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signalLength=round(signalDuration/dt);
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spikeArray=zeros(1,signalLength);
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spikeLocation=round(spikeTime/dt);
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spikeArray(spikeLocation)=1;
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disp(['length of spike array= ' num2str(length(spikeArray))])
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t=dt*(1:length(spikeArray));
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plot(t, spikeArray)
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%% convolution function
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CNspikeToCurrentTau=0.01;
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t=dt:dt:3*CNspikeToCurrentTau;
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CNalphaFunction=...
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(1/CNspikeToCurrentTau)*t.*exp(-t/CNspikeToCurrentTau);
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plot(t, CNalphaFunction)
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%% normalise conv function
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CNalphaFunction=CNalphaFunction/sum(CNalphaFunction);
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plot(t, CNalphaFunction)
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disp(['area under function= ' num2str(sum(CNalphaFunction))])
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%% adjust for spike current
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CNcurrentPerSpike=2;
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CNalphaFunction=CNalphaFunction*CNcurrentPerSpike;
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plot(t, CNalphaFunction)
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%% convolution
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result=conv(spikeArray,CNalphaFunction);
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t=dt*(1:length(result));
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plot(t, result)
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disp(['area under function= ' num2str(sum(result))])
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end
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##### SOURCE END #####
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-->
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</body>
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</html>
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