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<body class='hmmessage'><div dir='ltr'><font style="" face="Times New Roman,sans-serif" color="#000000"><font style="font-size:16pt;" face="Times New Roman,sans-serif" size="4"><span lang="en"><span>Hi Matt, </span></span></font><br id="FontBreak"></font><br><font style="font-size: 16pt;" face="Times New Roman,sans-serif" size="4"><span id="result_box" lang="en"><span>I </span><span>thank you</span> so much <span>for your reply.</span><br><br><span>Really, you have</span> <span>undersatand</span> <span>very well my goal.</span> <span><br>In fact, I</span>'<span>d like to know</span> <span>if you have applied</span> <span>a specific</span> <span>algorithm</span> <span>for the generation of</span> <span>the</span> <span>AR</span> </span></font><font style="font-size: 16pt;" face="Times New Roman,sans-serif" size="4"><span id="result_box" lang="en"><span>matrix </span></span></font><font style="font-size: 16pt;" face="Times New Roman,sans-serif" size="4"><span id="result_box" lang="en"><span>(A).</span> <br><span>In my work</span><span>, I applied</span> <span>the algorithm</span> <span>'</span><span>arfit</span><span>'</span><span>,</span> <span>and it gives me</span> <span>a</span></span></font><font style="font-size: 16pt;" face="Times New Roman,sans-serif" size="4"><span id="result_box" lang="en"> <span>vector </span><span></span> <span>of</span> p <span>AR</span> <span>parameters for each</span> <span>signal.</span><br><br>I<span>n this case,</span> <span>how can</span> I <span>present my</span> <span>matrix</span> <span>to extract</span> <span class="alt-edited">the eigenvalues?<br><br>Thank's a lot for your reply, Ibtissem<br><br></span></span></font><div><font style="background-color:rgb(255, 255, 255);" face="Comic Sans MS" color="#666666" size="2">----------------------------------------------------------</font></div><div><font style="background-color:rgb(255, 255, 255);" face="Comic Sans MS" color="#666666" size="2">----------------------------------------------------------</font></div><font style="background-color: rgb(255, 255, 255); font-size: 10pt;" face="Comic Sans MS" color="#666666" size="2">Ibtissem KHOUAJA BENFRADJ</font><div><span style="background-color:rgb(255, 255, 255);"><font face="Comic Sans MS" color="#666666" size="2">PhD in computer science</font></span></div><div><span style="background-color:rgb(255, 255, 255);"><font face="Comic Sans MS" color="#666666" size="2">Speciality: Biomedical Signal Processing</font></span></div><div><span style="background-color:rgb(255, 255, 255);"><font face="Comic Sans MS" color="#666666" size="2">Laboratory: LTIM, University of Monastir, Tunisia</font></span></div><div><a href="http://www.labtim.org/accueil.php" target="_blank"><font style="background-color:rgb(255, 255, 255);" face="Comic Sans MS" color="#666666" size="2">http://www.labtim.org/accueil.php</font></a></div><div><span style="background-color:rgb(255, 255, 255);"><font face="Comic Sans MS" color="#666666" size="2">Laboratory: LIGM, Univerisity of Paris-East, France </font></span></div><div><a href="http://ligm.u-pem.fr/" target="_blank"><font style="background-color:rgb(255, 255, 255);" face="Comic Sans MS" color="#666666" size="2">http://ligm.u-pem.fr/</font></a></div><div><span style="background-color:rgb(255, 255, 255);"><font face="Comic Sans MS" color="#666666" size="2"><br></font></span></div><div><span style="font-size:12pt;"><br></span></div><br><br><div><hr id="stopSpelling">Date: Tue, 3 May 2016 21:09:01 +0200<br>Subject: Re: [Eeglablist] Eigenvalues generation<br>From: matt.gerhold@gmail.com<br>To: ibtissem.khouaja@live.fr<br>CC: eeglablist@sccn.ucsd.edu<br><br><div dir="ltr">Hi,<br><br>One would compute the eigenvalues for the autoregressive parameter matrix--your estimated beta coefficients. This would be to assess the stability of the system. One only needs to compute these eigenvalues for this matrix; nothing more nothing less... Then take the modulus of the eigenvalues, they should all be less than one. Following Lutkepohl (2005), a simple way to do this is: <br><br>if A = autoregressive parameters (K x K), where K is number of data-channels: <br><br>>> eig_vals = abs(diag(jordan(A))) % jordan canonical form of A<br>>> eig_vals < 1 % should give a vector of 1's if the system is stable<br><br>Regards,<br><br>Matthew<br><br></div><div class="ecxgmail_extra"><br><div class="ecxgmail_quote">On Mon, May 2, 2016 at 6:20 PM, Ibtissem KHOUAJA BENFRADJ <span dir="ltr"><<a href="mailto:ibtissem.khouaja@live.fr" target="_blank">ibtissem.khouaja@live.fr</a>></span> wrote:<br><blockquote class="ecxgmail_quote" style="border-left:1px #ccc solid;padding-left:1ex;">
<div><div dir="ltr"><font face="Times New Roman,sans-serif" color="#000000"><font style="font-size:16pt;" size="4">Dear list, </font><br><br></font><font face="Times New Roman,sans-serif"><br></font><font style="font-size:16pt;" face="Times New Roman,sans-serif" size="4"><span lang="en"><span>I applied</span> <span>the ARFIT</span> <span>algorithm</span> <span>in the generation of</span> <span>autoregressive</span> <span>parameters</span><br><span>corresponding to the time-varying of EEG.<br>Nest, </span><span>in order to</span> <span>generate</span> <span>the eigenvalues of </span><span>the</span> <span>AR</span> <span>matrix</span> <span>I used</span> <span>ARMODE</span> <span>algorithm.</span><br><br><span>I need</span> <span>your help to</span> <span>generate</span> differently <span>the eigenvalues</span> <span>for</span> <span>the</span> <span>AR</span> <span>parameters</span> <span>of</span> <span>each</span> <span>signal (AR vector) </span><span>and</span> <span>all of </span><span>signal</span> (AR matrix)<span></span></span></font><font style="font-size:16pt;" face="Times New Roman,sans-serif" size="4">.<br><br>Thank you for your help, Ibtissem<br></font><br><div><font style="background-color:rgb(255,255,255);" face="Comic Sans MS" color="#666666" size="2">----------------------------------------------------------</font></div><div><font style="background-color:rgb(255,255,255);" face="Comic Sans MS" color="#666666" size="2">----------------------------------------------------------</font></div><font style="background-color:rgb(255,255,255);font-size:10pt;" face="Comic Sans MS" color="#666666" size="2">Ibtissem KHOUAJA BENFRADJ</font><div><span style="background-color:rgb(255,255,255);"><font face="Comic Sans MS" color="#666666" size="2">PhD in computer science</font></span></div><div><span style="background-color:rgb(255,255,255);"><font face="Comic Sans MS" color="#666666" size="2">Speciality: Biomedical Signal Processing</font></span></div><div><span style="background-color:rgb(255,255,255);"><font face="Comic Sans MS" color="#666666" size="2">Laboratory: LTIM, University of Monastir, Tunisia</font></span></div><div><a href="http://www.labtim.org/accueil.php" target="_blank"><font style="background-color:rgb(255,255,255);" face="Comic Sans MS" color="#666666" size="2">http://www.labtim.org/accueil.php</font></a></div><div><span style="background-color:rgb(255,255,255);"><font face="Comic Sans MS" color="#666666" size="2">Laboratory: LIGM, Univerisity of Paris-East, France </font></span></div><div><a href="http://ligm.u-pem.fr/" target="_blank"><font style="background-color:rgb(255,255,255);" face="Comic Sans MS" color="#666666" size="2">http://ligm.u-pem.fr/</font></a></div><div><span style="background-color:rgb(255,255,255);"><font face="Comic Sans MS" color="#666666" size="2"><br></font></span></div><div><span style="font-size:12pt;"><br></span></div> </div></div>
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