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	<title>Overblaze's Impact</title>
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	<description>Internet, Linux, Joke, Knowledge, Pleasure</description>
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		<title>Overblaze's Impact</title>
		<link>http://overblaze.wordpress.com</link>
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		<item>
		<title>Gliffy Online</title>
		<link>http://overblaze.wordpress.com/2009/02/07/gliffy-online/</link>
		<comments>http://overblaze.wordpress.com/2009/02/07/gliffy-online/#comments</comments>
		<pubDate>Sat, 07 Feb 2009 05:40:54 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[internet]]></category>
		<category><![CDATA[diagram]]></category>
		<category><![CDATA[gliffy]]></category>
		<category><![CDATA[online]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=150</guid>
		<description><![CDATA[If you need to create a diagram but you don&#8217;t have a powerful tool like Visio (cause it&#8217;s expensive n it&#8217;s for windows :p ), or you have the tool but not comfortable with it (like ADA, well in my case ), you might want to try Gliffy Online. Through that website, you can create [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=overblaze.wordpress.com&amp;blog=4922356&amp;post=150&amp;subd=overblaze&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>If you need to create a diagram but you don&#8217;t have a powerful tool like Visio (cause it&#8217;s expensive n it&#8217;s for windows :p ), or you have the tool but not comfortable with it (like ADA, well in my case <img src='http://s0.wp.com/wp-includes/images/smilies/icon_biggrin.gif' alt=':D' class='wp-smiley' />  ), you might want to try <a href="http://www.gliffy.com" target="_blank">Gliffy Online</a>. Through that website, you can create a very nice diagram easily (well again, for me it&#8217;s easy to use). And just like Visio and ADA, you can create any type of diagram like UML, network, flow chart, etc. After done creating your diagram, you can save it as jpeg or png. Or you can just publish it like this one.</p>
<div class="wp-caption aligncenter" style="width: 449px"><img title="First taste of Gliffy Online" src="http://www.gliffy.com/pubdoc/1600032/L.jpg" alt="First taste of Gliffy Online" width="439" height="373" /><p class="wp-caption-text">First taste of Gliffy Online</p></div>
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			<media:title type="html">overblaze</media:title>
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		<media:content url="http://www.gliffy.com/pubdoc/1600032/L.jpg" medium="image">
			<media:title type="html">First taste of Gliffy Online</media:title>
		</media:content>
	</item>
		<item>
		<title>Easily Share Internet Connection in Ubuntu Ibex</title>
		<link>http://overblaze.wordpress.com/2009/02/04/easily-share-internet-connection-in-ubuntu-ibex/</link>
		<comments>http://overblaze.wordpress.com/2009/02/04/easily-share-internet-connection-in-ubuntu-ibex/#comments</comments>
		<pubDate>Wed, 04 Feb 2009 00:32:27 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[internet]]></category>
		<category><![CDATA[linux]]></category>
		<category><![CDATA[ibex]]></category>
		<category><![CDATA[ubuntu]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=148</guid>
		<description><![CDATA[So here is the case, you have more than one computers in your place, one internet connection, one of them (or all) has Ubuntu inside, and you want all of your pcs to be able to connect to internet through the Ubuntu pc. What you need to do in your Ubuntu pc (the gateway) is: [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=overblaze.wordpress.com&amp;blog=4922356&amp;post=148&amp;subd=overblaze&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>So here is the case, you have more than one computers in your place, one internet connection, one of them (or all) has Ubuntu inside, and you want all of your pcs to be able to connect to internet through the Ubuntu pc. What you need to do in your Ubuntu pc (the gateway) is:</p>
<ol>
<li>Install dhcp server<br />
<code>sudo apt-get install dhcp3-server</code></li>
<li>Install firestarter<br />
<code>sudo apt-get install firestarter</code></li>
<li>Create symbolic link for dhcpd. Need to do this because firestarter looks for dhcpd, while in Ibex there’s only dhcpd3.<br />
<code>sudo ln -s /usr/sbin/dhcpd3 /usr/sbin/dhcpd</code></li>
<li>You might need to assign ipaddress to the network interface card that connect to your LAN.<br />
<code>sudo ifconfig eth0 192.168.0.1</code></li>
<li>Run firestarter</li>
<li><img class="aligncenter size-full wp-image-535" title="firestarterwizard1" src="http://www.nicnocquee.com/blog/wp-content/uploads/2009/02/firestarterwizard1.png" alt="firestarterwizard1" width="549" height="309" /></li>
<li><img class="aligncenter size-full wp-image-536" title="firestarterwizard2" src="http://www.nicnocquee.com/blog/wp-content/uploads/2009/02/firestarterwizard2.png" alt="firestarterwizard2" width="547" height="312" /></li>
<li><img class="aligncenter size-full wp-image-537" title="firestarter3" src="http://www.nicnocquee.com/blog/wp-content/uploads/2009/02/firestarter3.png" alt="firestarter3" width="547" height="313" /></li>
<li><img class="aligncenter size-full wp-image-538" title="firestarter4" src="http://www.nicnocquee.com/blog/wp-content/uploads/2009/02/firestarter4.png" alt="firestarter4" width="545" height="380" /></li>
<li>Just connect your other pcs to the hub/switch <img class="wp-smiley" src="http://www.nicnocquee.com/blog/wp-content/plugins/smilies-themer/Yahoo/yahoo_wink.gif" alt="" /></li>
</ol>
<p><em>Note:</em></p>
<ol>
<li><em>I used Intrepid Ibex.</em></li>
<li><em>I connected the pcs through cable. Haven’t tried this method for sharing internet connection over wireless (adhoc).</em></li>
</ol>
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			<media:title type="html">overblaze</media:title>
		</media:content>

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			<media:title type="html">firestarterwizard1</media:title>
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			<media:title type="html">firestarterwizard2</media:title>
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			<media:title type="html">firestarter3</media:title>
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			<media:title type="html">firestarter4</media:title>
		</media:content>

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	</item>
		<item>
		<title>Name Your Dream Assignment</title>
		<link>http://overblaze.wordpress.com/2009/01/30/name-your-dream-assignment/</link>
		<comments>http://overblaze.wordpress.com/2009/01/30/name-your-dream-assignment/#comments</comments>
		<pubDate>Fri, 30 Jan 2009 05:04:06 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[news]]></category>
		<category><![CDATA[photography]]></category>
		<category><![CDATA[contest]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=146</guid>
		<description><![CDATA[<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=overblaze.wordpress.com&amp;blog=4922356&amp;post=146&amp;subd=overblaze&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p style="text-align:center;"><a href="http://www.nameyourdreamassignment.com/?utm_source=dream&amp;utm_medium=lgaban"><img class="aligncenter" src="http://media.nameyourdreamassignment.com/badge3.jpg" alt="" /></a></p>
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		<slash:comments>1</slash:comments>
	
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			<media:title type="html">overblaze</media:title>
		</media:content>

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	</item>
		<item>
		<title>Two Effecient Firefox Addons</title>
		<link>http://overblaze.wordpress.com/2009/01/08/two-effecient-firefox-addons/</link>
		<comments>http://overblaze.wordpress.com/2009/01/08/two-effecient-firefox-addons/#comments</comments>
		<pubDate>Thu, 08 Jan 2009 06:20:25 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[internet]]></category>
		<category><![CDATA[linux]]></category>
		<category><![CDATA[software]]></category>
		<category><![CDATA[addons]]></category>
		<category><![CDATA[fire gesture]]></category>
		<category><![CDATA[firefox]]></category>
		<category><![CDATA[morning coffee]]></category>
		<category><![CDATA[ubuntu]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=144</guid>
		<description><![CDATA[Morning Coffee.  There are some urls I always open everytime I start firefox like mail.google, mail.yahoo, ipv6mail, planet ubuntu id, planet el02, and detik.com. Although I have them all bookmarked in my toolbar, it still annoying (but I still do it ) to do it everytime. But using this addon, I can add them to [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=overblaze.wordpress.com&amp;blog=4922356&amp;post=144&amp;subd=overblaze&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<ol>
<li><a href="https://addons.mozilla.org/en-US/firefox/addon/2677" target="_blank"><img class="alignnone size-full wp-image-520" title="morningcoffee" src="http://www.nicnocquee.com/blog/wp-content/uploads/2009/01/morningcoffee.jpg" alt="morningcoffee" width="247" height="196" /> Morning Coffee</a>.  There are some urls I always open everytime I start firefox like mail.google, mail.yahoo, ipv6mail, planet ubuntu id, planet el02, and detik.com. Although I have them all bookmarked in my toolbar, it still annoying (but I still do it <img class="wp-smiley" src="http://www.nicnocquee.com/blog/wp-content/plugins/smilies-themer/Yahoo/yahoo_tongue.gif" alt="P" /> ) to do it everytime. But using this addon, I can add them to my everyday morning coffee, so that everytime I want to open them I just need to click once, and they all will be opened in tabs. 便利ですね。。。</li>
<li><img class="alignnone" title="firegesture" src="https://addons.mozilla.org/en-US/firefox/images/t/24574/1218472197" alt="" width="200" height="100" /> <a href="https://addons.mozilla.org/en-US/firefox/addon/6366" target="_blank">Fire Gesture</a>. For this one, I got influenced by my japanese lab friends. I think all of them are using it. Using this addon, I can just hold right click than drag to the left to go back one page, or to the right to go forward one page. Another 便利 addon. There are also other gestures  we can set up.</li>
</ol>
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			<media:title type="html">overblaze</media:title>
		</media:content>

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			<media:title type="html">morningcoffee</media:title>
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			<media:title type="html">P</media:title>
		</media:content>

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			<media:title type="html">firegesture</media:title>
		</media:content>
	</item>
		<item>
		<title>Great Speech From Steve Job</title>
		<link>http://overblaze.wordpress.com/2008/12/31/great-speech-from-steve-job/</link>
		<comments>http://overblaze.wordpress.com/2008/12/31/great-speech-from-steve-job/#comments</comments>
		<pubDate>Wed, 31 Dec 2008 03:31:44 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[internet]]></category>
		<category><![CDATA[news]]></category>
		<category><![CDATA[video]]></category>
		<category><![CDATA[steve job]]></category>
		<category><![CDATA[youtube]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=142</guid>
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		<title>Gnome-ppp and Huawei 3G USB Modem</title>
		<link>http://overblaze.wordpress.com/2008/12/23/gnome-ppp-and-huawei-3g-usb-modem/</link>
		<comments>http://overblaze.wordpress.com/2008/12/23/gnome-ppp-and-huawei-3g-usb-modem/#comments</comments>
		<pubDate>Tue, 23 Dec 2008 04:16:02 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[internet]]></category>
		<category><![CDATA[linux]]></category>
		<category><![CDATA[3g modem]]></category>
		<category><![CDATA[emobile]]></category>
		<category><![CDATA[gadget]]></category>
		<category><![CDATA[huawei]]></category>
		<category><![CDATA[ibex]]></category>
		<category><![CDATA[technology]]></category>
		<category><![CDATA[ubuntu]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=140</guid>
		<description><![CDATA[I had a problem connecting to internet using huawei 3G modem D02HW inUbuntu Intrepid Ibex before. The modem was detected, I already set the gnome-ppp to use this setting: username: em password: em phone number: *99***1# Deveice: /dev/ttyUSB0 Type: USB Modem Speed: 460800 Phone Line: tone Volume: High InitString: init2=&#62;ATH0E1 but it still couldn&#8217;t connect [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=overblaze.wordpress.com&amp;blog=4922356&amp;post=140&amp;subd=overblaze&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<div id="attachment_139" class="wp-caption aligncenter" style="width: 273px"><img class="size-full wp-image-139" title="image060resized" src="http://overblaze.files.wordpress.com/2008/12/image060resized.jpg?w=263&#038;h=349" alt="emobile modem" width="263" height="349" /><p class="wp-caption-text">emobile modem</p></div>
<p>I had a problem connecting to internet using huawei 3G modem D02HW inUbuntu Intrepid Ibex before. The modem was detected, I already set the gnome-ppp to use this setting:<br />
<code>username: em<br />
password: em<br />
phone number: *99***1#<br />
Deveice: /dev/ttyUSB0<br />
Type: USB Modem<br />
Speed: 460800<br />
Phone Line: tone<br />
Volume: High<br />
InitString: init2=&gt;ATH0E1</code><br />
but it still couldn&#8217;t connect to the internet. It kept saying waiting for prompt and then permission denied on /usr/bin/pppd bla bla bla.<br />
Here is the solution: change the user privilage in System -&gt; Administration -&gt; User and Groups -&gt; Unlock -&gt; Insert your password -&gt; Properties -&gt; User Privileges -&gt; Check “Connect to internet using a modem” -&gt; OK -&gt; Logout -&gt; Login -&gt; Try connect again, it should be working now.<br />
<a href="http://www.nicnocquee.com/blog/wp-content/uploads/2008/12/connecttointernetusingmodem-250x300.png"><img class="aligncenter" title="User Privileges" src="http://www.nicnocquee.com/blog/wp-content/uploads/2008/12/connecttointernetusingmodem-250x300.png" alt="" width="250" height="300" /></a></p>
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			<media:title type="html">User Privileges</media:title>
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		<title>Firefox 3 Starts in Offline Mode Problem</title>
		<link>http://overblaze.wordpress.com/2008/12/20/firefox-3-starts-in-offline-mode-problem/</link>
		<comments>http://overblaze.wordpress.com/2008/12/20/firefox-3-starts-in-offline-mode-problem/#comments</comments>
		<pubDate>Sat, 20 Dec 2008 05:10:41 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[internet]]></category>
		<category><![CDATA[firefox]]></category>
		<category><![CDATA[offline]]></category>
		<category><![CDATA[problem]]></category>
		<category><![CDATA[ubuntu]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=137</guid>
		<description><![CDATA[In my ubuntu, firefox always starts in offline mode. The solution is simple, in firefox, open new tab -&#62; type “about:config” (without the double quotes) -&#62; type toolkit.networkmanager.disable -&#62; change the value to true. It should be working in online mode from now on.<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=overblaze.wordpress.com&amp;blog=4922356&amp;post=137&amp;subd=overblaze&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>In my ubuntu, firefox always starts in offline mode. The solution is simple, in firefox, open new tab -&gt; type “about:config” (without the double quotes) -&gt; type toolkit.networkmanager.disable -&gt; change the value to true. It should be working in online mode from now on.</p>
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			<media:title type="html">overblaze</media:title>
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		<title>Motivation For Research</title>
		<link>http://overblaze.wordpress.com/2008/12/09/motivation-for-research/</link>
		<comments>http://overblaze.wordpress.com/2008/12/09/motivation-for-research/#comments</comments>
		<pubDate>Tue, 09 Dec 2008 02:48:36 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[mumble]]></category>
		<category><![CDATA[news]]></category>
		<category><![CDATA[japan]]></category>
		<category><![CDATA[motivation]]></category>
		<category><![CDATA[research]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=134</guid>
		<description><![CDATA[Japan is not only famous of its manga and anime, but also of the advance of technology. One of the reason of this advance is because of so many researches conducted in universities and companies. Recently I just found out about the reason why students and lecturers in Japan willingly conduct so many researches. Not [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=overblaze.wordpress.com&amp;blog=4922356&amp;post=134&amp;subd=overblaze&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<div class="wp-caption aligncenter" style="width: 277px"><a href="http://www.nicnocquee.com/blog/wp-content/gallery/tokyo/00325.jpg.watermarked.jpg"><img title="Tokyo tower" src="http://www.nicnocquee.com/blog/wp-content/gallery/tokyo/00325.jpg.watermarked.jpg" alt="Tokyo tower" width="267" height="400" /></a><p class="wp-caption-text">Tokyo tower</p></div>
<p>Japan is not only famous of its manga and anime, but also of the advance of technology. One of the reason of this advance is because of so many researches conducted in universities and companies. Recently I just found out about the reason why students and lecturers in Japan willingly conduct so many researches. Not only to add more entries on their curriculum vitae, but also because they want to go abroad. As you may know, there are so many international conferences about technology. And since it&#8217;s international scale, most of the time it&#8217;s held outside Japan. By doing research, they can submit papers, and if the papers passed the review, they will have the chance to go abroad. They also don&#8217;t have to worry about the money, because the university will pay for them, everything. For university, money is not a problem. The more papers produced by their students/lecturers, the more famous the university will be.</p>
<p>Researching is like racing here. In a meeting few days ago, my sensei listed the international conferences that will be held next year like PIMRC in Tokyo, VTC in Alaska, and APWCS in Seoul. He encouraged everyone to submit a paper to any of the conferences. Not only the master student or PhD students, but also the bachelor students as well. Even one of my friend who is still in bachelor degree is ready to submit paper to APWCS cause he wants to go to Seoul.</p>
<p>I believe this is one of motivation that universities in Indonesia should have to advance in technology. Especially to ITB, since I heard ITB is planning to be a research based institute. Hopefully more good quality papers are produced from ITB.</p>
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			<media:title type="html">overblaze</media:title>
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			<media:title type="html">Tokyo tower</media:title>
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		<title>Probability of Error for BPSK over Rayleigh channel with Maximal Ratio Combiner</title>
		<link>http://overblaze.wordpress.com/2008/11/13/probability-of-error-for-bpsk-over-rayleigh-channel-with-maximal-ratio-combiner/</link>
		<comments>http://overblaze.wordpress.com/2008/11/13/probability-of-error-for-bpsk-over-rayleigh-channel-with-maximal-ratio-combiner/#comments</comments>
		<pubDate>Thu, 13 Nov 2008 16:51:43 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[math]]></category>
		<category><![CDATA[ber]]></category>
		<category><![CDATA[bpsk]]></category>
		<category><![CDATA[maximal ratio combining]]></category>
		<category><![CDATA[mrc]]></category>
		<category><![CDATA[rayleigh]]></category>
		<category><![CDATA[telecommunication]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=108</guid>
		<description><![CDATA[Aside from deriving BER for BPSK over rayleigh channel, I also got another assignment to derive the equation of probability of error (BER) for BPSK over rayleigh channel with maximal ratio combiner (mrc). After searching here and there, I found the solution in Digital Communications by Proakis page 825. But just like the previous assignment, [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=overblaze.wordpress.com&amp;blog=4922356&amp;post=108&amp;subd=overblaze&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>Aside from deriving <a href="http://overblaze.wordpress.com/2008/11/06/ber-for-bpsk-in-rayleigh-channel/" target="_blank">BER for BPSK over rayleigh channel</a>, I also got another assignment to derive the equation of probability of error (BER) for BPSK over rayleigh channel with maximal ratio combiner (mrc). After searching here and there, I found the solution in Digital Communications by Proakis page 825. But just like the previous assignment, Proakis didn&#8217;t derive the equation in detail. Even <a href="http://www.google.com" target="_blank">Mr. Google</a> couldn&#8217;t help me this time <img src='http://s0.wp.com/wp-includes/images/smilies/icon_sad.gif' alt=':(' class='wp-smiley' />  So I tried to solve it myself, but I&#8217;m stuck. So I posted here my unfinished work, maybe you can help me figuring it out.</p>
<p>For a certain value of time, the bit error rate probability is</p>
<p><img src='http://s0.wp.com/latex.php?latex=P_b%28%5Cgamma_b%29%3DQ%28%5Csqrt%7B2%5Cgamma_b%7D%29&amp;bg=161410&amp;fg=999999&amp;s=0' alt='P_b(&#92;gamma_b)=Q(&#92;sqrt{2&#92;gamma_b})' title='P_b(&#92;gamma_b)=Q(&#92;sqrt{2&#92;gamma_b})' class='latex' /></p>
<p>where <img src='http://s0.wp.com/latex.php?latex=%5Cgamma_b%3D%5Cfrac%7BE_b%7D%7BN_o%7D%5Csum_%7Bk%3D1%7D%5EL+%7Bh_k%7D%5E2+%3D+%5Csum_%7Bk%3D1%7D%5EL+%5Cgamma_k&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;gamma_b=&#92;frac{E_b}{N_o}&#92;sum_{k=1}^L {h_k}^2 = &#92;sum_{k=1}^L &#92;gamma_k' title='&#92;gamma_b=&#92;frac{E_b}{N_o}&#92;sum_{k=1}^L {h_k}^2 = &#92;sum_{k=1}^L &#92;gamma_k' class='latex' /> . <img src='http://s0.wp.com/latex.php?latex=%5Cgamma_k&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;gamma_k' title='&#92;gamma_k' class='latex' /> is the instantaneous SNR on the <img src='http://s0.wp.com/latex.php?latex=k&amp;bg=161410&amp;fg=999999&amp;s=0' alt='k' title='k' class='latex' />th channel.</p>
<p>When <img src='http://s0.wp.com/latex.php?latex=k%3D1+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='k=1 ' title='k=1 ' class='latex' />, <img src='http://s0.wp.com/latex.php?latex=%5Cgamma_b%5Cequiv%5Cgamma_1&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;gamma_b&#92;equiv&#92;gamma_1' title='&#92;gamma_b&#92;equiv&#92;gamma_1' class='latex' /> and</p>
<p><img src='http://s0.wp.com/latex.php?latex=P%28%5Cgamma_1%29%3D%5Cfrac%7B1%7D%7B%5Cbar+%5Cgamma_c%7D+e%5E%7B-%5Cfrac%7B%5Cgamma_1%7D%7B%5Cgamma_c%7D%7D&amp;bg=161410&amp;fg=999999&amp;s=0' alt='P(&#92;gamma_1)=&#92;frac{1}{&#92;bar &#92;gamma_c} e^{-&#92;frac{&#92;gamma_1}{&#92;gamma_c}}' title='P(&#92;gamma_1)=&#92;frac{1}{&#92;bar &#92;gamma_c} e^{-&#92;frac{&#92;gamma_1}{&#92;gamma_c}}' class='latex' /></p>
<p>where <img src='http://s0.wp.com/latex.php?latex=%5Cbar+%5Cgamma_c%3D%5Cfrac%7BE_b%7D%7BN_0%7DE%28%7Bh_k%7D%5E2%29+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;bar &#92;gamma_c=&#92;frac{E_b}{N_0}E({h_k}^2) ' title='&#92;bar &#92;gamma_c=&#92;frac{E_b}{N_0}E({h_k}^2) ' class='latex' /> (average SNR per channel). So the characteristic function is</p>
<p><img src='http://s0.wp.com/latex.php?latex=%5Cpsi_%7B%5Cgamma_1%7D%28jv%29+%3D+E%28e%5E%7Bjv%5Cgamma_1%7D%29+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;psi_{&#92;gamma_1}(jv) = E(e^{jv&#92;gamma_1}) ' title='&#92;psi_{&#92;gamma_1}(jv) = E(e^{jv&#92;gamma_1}) ' class='latex' /><br />
<img src='http://s0.wp.com/latex.php?latex=%3D%5Cint_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7D+e%5E%7Bjv%5Cgamma_1%7D%5Cfrac%7B1%7D%7B%5Cbar+%5Cgamma_c%7De%5E%7B-%5Cfrac%7B%5Cgamma_1%7D%7B%5Cbar+%5Cgamma_c%7D%7Dd%5Cgamma_1+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;int_{-&#92;infty}^{&#92;infty} e^{jv&#92;gamma_1}&#92;frac{1}{&#92;bar &#92;gamma_c}e^{-&#92;frac{&#92;gamma_1}{&#92;bar &#92;gamma_c}}d&#92;gamma_1 ' title='=&#92;int_{-&#92;infty}^{&#92;infty} e^{jv&#92;gamma_1}&#92;frac{1}{&#92;bar &#92;gamma_c}e^{-&#92;frac{&#92;gamma_1}{&#92;bar &#92;gamma_c}}d&#92;gamma_1 ' class='latex' /><br />
<img src='http://s0.wp.com/latex.php?latex=%3D%5Cfrac%7B1%7D%7B%5Cbar+%5Cgamma_c%7D%5Cint_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7De%5E%7Bjv%5Cgamma_1%7D%5Cfrac%7B1%7D%7B%5Cbar+%5Cgamma_c%7De%5E%7B-%5Cfrac%7B%5Cgamma_1%7D%7B%5Cbar+%5Cgamma_c%7D%7Dd%5Cgamma_1+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;frac{1}{&#92;bar &#92;gamma_c}&#92;int_{-&#92;infty}^{&#92;infty}e^{jv&#92;gamma_1}&#92;frac{1}{&#92;bar &#92;gamma_c}e^{-&#92;frac{&#92;gamma_1}{&#92;bar &#92;gamma_c}}d&#92;gamma_1 ' title='=&#92;frac{1}{&#92;bar &#92;gamma_c}&#92;int_{-&#92;infty}^{&#92;infty}e^{jv&#92;gamma_1}&#92;frac{1}{&#92;bar &#92;gamma_c}e^{-&#92;frac{&#92;gamma_1}{&#92;bar &#92;gamma_c}}d&#92;gamma_1 ' class='latex' /><br />
<img src='http://s0.wp.com/latex.php?latex=%3D%5Cleft.+-%5Cfrac%7B1%7D%7B%5Cbar+%5Cgamma_c%7D%5Cfrac%7B%5Cbar+%5Cgamma_c%7D%7B1-jv%5Cbar+%5Cgamma_c%7De%5E%7B-%5Cgamma_1%5Cleft%28%5Cfrac%7B1%7D%7B%5Cbar+%5Cgamma_c%7D-jv+%5Cright%29+%7D%5Cright%7C_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;left. -&#92;frac{1}{&#92;bar &#92;gamma_c}&#92;frac{&#92;bar &#92;gamma_c}{1-jv&#92;bar &#92;gamma_c}e^{-&#92;gamma_1&#92;left(&#92;frac{1}{&#92;bar &#92;gamma_c}-jv &#92;right) }&#92;right|_{-&#92;infty}^{&#92;infty} ' title='=&#92;left. -&#92;frac{1}{&#92;bar &#92;gamma_c}&#92;frac{&#92;bar &#92;gamma_c}{1-jv&#92;bar &#92;gamma_c}e^{-&#92;gamma_1&#92;left(&#92;frac{1}{&#92;bar &#92;gamma_c}-jv &#92;right) }&#92;right|_{-&#92;infty}^{&#92;infty} ' class='latex' /><br />
<img src='http://s0.wp.com/latex.php?latex=%3D%5Cfrac%7B1%7D%7B1-jv%5Cbar+%5Cgamma_c%7D&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;frac{1}{1-jv&#92;bar &#92;gamma_c}' title='=&#92;frac{1}{1-jv&#92;bar &#92;gamma_c}' class='latex' /></p>
<p>Since the fading on K channels is mutually statistically independent<br />
<img src='http://s0.wp.com/latex.php?latex=%5Cpsi_%7B%5Cgamma_b%7D%28jv%29%3D%5Cfrac%7B1%7D%7B%281-jv%5Cbar+%5Cgamma_c%29%5EK%7D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;psi_{&#92;gamma_b}(jv)=&#92;frac{1}{(1-jv&#92;bar &#92;gamma_c)^K} ' title='&#92;psi_{&#92;gamma_b}(jv)=&#92;frac{1}{(1-jv&#92;bar &#92;gamma_c)^K} ' class='latex' /></p>
<p>Using inverse fourier transform,</p>
<p><img src='http://s0.wp.com/latex.php?latex=p%28%5Cgamma_b%29+%3D+%5Cfrac%7B1%7D%7B2%5Cpi%7D%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty+%5Cpsi_%5Cgamma%28jv%29e%5E%7B-jv%5Cgamma_b%7D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='p(&#92;gamma_b) = &#92;frac{1}{2&#92;pi}&#92;int_{-&#92;infty}^&#92;infty &#92;psi_&#92;gamma(jv)e^{-jv&#92;gamma_b} ' title='p(&#92;gamma_b) = &#92;frac{1}{2&#92;pi}&#92;int_{-&#92;infty}^&#92;infty &#92;psi_&#92;gamma(jv)e^{-jv&#92;gamma_b} ' class='latex' /></p>
<p><img src='http://s0.wp.com/latex.php?latex=%3D%5Cfrac%7B1%7D%7B2%5Cpi%7D%5Cint_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7D+%5Cfrac%7B1%7D%7B%281-jv%5Cbar+%5Cgamma_c%29%7De%5E%7B-jv%5Cgamma_b%7D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;frac{1}{2&#92;pi}&#92;int_{-&#92;infty}^{&#92;infty} &#92;frac{1}{(1-jv&#92;bar &#92;gamma_c)}e^{-jv&#92;gamma_b} ' title='=&#92;frac{1}{2&#92;pi}&#92;int_{-&#92;infty}^{&#92;infty} &#92;frac{1}{(1-jv&#92;bar &#92;gamma_c)}e^{-jv&#92;gamma_b} ' class='latex' /></p>
<p><img src='http://s0.wp.com/latex.php?latex=%3D%5Cfrac%7B1%7D%7B%7B%5Cbar+%5Cgamma_c%7D%5EK+%5CGamma%28K%29%7D%7B%5Cgamma_b%7D%5E%7BK-1%7De%5E%7B-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D%7D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;frac{1}{{&#92;bar &#92;gamma_c}^K &#92;Gamma(K)}{&#92;gamma_b}^{K-1}e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}} ' title='=&#92;frac{1}{{&#92;bar &#92;gamma_c}^K &#92;Gamma(K)}{&#92;gamma_b}^{K-1}e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}} ' class='latex' /></p>
<p><img src='http://s0.wp.com/latex.php?latex=%3D%5Cfrac%7B1%7D%7B%28K-1%29%21%7B%5Cbar+%5Cgamma_c%7D%5EK%7D%7B%5Cgamma_b%7D%5E%7BK-1%7De%5E%7B-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D%7D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;frac{1}{(K-1)!{&#92;bar &#92;gamma_c}^K}{&#92;gamma_b}^{K-1}e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}} ' title='=&#92;frac{1}{(K-1)!{&#92;bar &#92;gamma_c}^K}{&#92;gamma_b}^{K-1}e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}} ' class='latex' /></p>
<p>So, the Bit error rate (error probability)</p>
<p><img src='http://s0.wp.com/latex.php?latex=P_2%3D%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty+P_2%28%5Cgamma_b%29p%28%5Cgamma_b%29d%5Cgamma_b+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='P_2=&#92;int_{-&#92;infty}^&#92;infty P_2(&#92;gamma_b)p(&#92;gamma_b)d&#92;gamma_b ' title='P_2=&#92;int_{-&#92;infty}^&#92;infty P_2(&#92;gamma_b)p(&#92;gamma_b)d&#92;gamma_b ' class='latex' /></p>
<p><img src='http://s0.wp.com/latex.php?latex=%3D%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty+Q%28%5Csqrt%7B2%5Cgamma_b%7D%29p%28%5Cgamma_b%29d%5Cgamma_b+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;int_{-&#92;infty}^&#92;infty Q(&#92;sqrt{2&#92;gamma_b})p(&#92;gamma_b)d&#92;gamma_b ' title='=&#92;int_{-&#92;infty}^&#92;infty Q(&#92;sqrt{2&#92;gamma_b})p(&#92;gamma_b)d&#92;gamma_b ' class='latex' /></p>
<p>To solve equation above, use integration by parts.<br />
By definition, <img src='http://s0.wp.com/latex.php?latex=%5Cint+f%28x%29g%28x%29dx+%3D+F%28x%29g%28x%29-%5Cint+F%28x%29g%27%28x%29+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;int f(x)g(x)dx = F(x)g(x)-&#92;int F(x)g&#039;(x) ' title='&#92;int f(x)g(x)dx = F(x)g(x)-&#92;int F(x)g&#039;(x) ' class='latex' /><br />
which is another way of rewriting the usual <img src='http://s0.wp.com/latex.php?latex=%5Cint+udv%3Duv-%5Cint+vdu+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;int udv=uv-&#92;int vdu ' title='&#92;int udv=uv-&#92;int vdu ' class='latex' /></p>
<p>Let <img src='http://s0.wp.com/latex.php?latex=f%28%5Cgamma_b%29%3Dp%28%5Cgamma_b%29+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='f(&#92;gamma_b)=p(&#92;gamma_b) ' title='f(&#92;gamma_b)=p(&#92;gamma_b) ' class='latex' />.<br />
And by definition</p>
<p><img src='http://s0.wp.com/latex.php?latex=%5Cint+x%5Ene%5E%7Bax%7Ddx%3D%5Cfrac%7Be%5E%7Bax%7D%7D%7Ba%5E%7Bn%2B1%7D%7D%5Cleft%5B+%28ax%29%5En-n%28ax%29%5E%7Bn-1%7D%2Bn%28n-1%29%28ax%29%5E%7Bn-2%7D-%5Cdots%2B%28-1%29%5Enn%21%5Cright%5D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;int x^ne^{ax}dx=&#92;frac{e^{ax}}{a^{n+1}}&#92;left[ (ax)^n-n(ax)^{n-1}+n(n-1)(ax)^{n-2}-&#92;dots+(-1)^nn!&#92;right] ' title='&#92;int x^ne^{ax}dx=&#92;frac{e^{ax}}{a^{n+1}}&#92;left[ (ax)^n-n(ax)^{n-1}+n(n-1)(ax)^{n-2}-&#92;dots+(-1)^nn!&#92;right] ' class='latex' /></p>
<p>So we have</p>
<p><img src='http://s0.wp.com/latex.php?latex=F%28%5Cgamma_b%29+%3D+%5Cint+f%28%5Cgamma_b%29d%5Cgamma_b+%3D+%5Cint+%5Cfrac%7B1%7D%7B%28K-1%29%21%7B%5Cbar+%5Cgamma_c%7D%5EK%7D%7B%5Cgamma_b%7D%5E%7BK-1%7De%5E%7B-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D%7D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='F(&#92;gamma_b) = &#92;int f(&#92;gamma_b)d&#92;gamma_b = &#92;int &#92;frac{1}{(K-1)!{&#92;bar &#92;gamma_c}^K}{&#92;gamma_b}^{K-1}e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}} ' title='F(&#92;gamma_b) = &#92;int f(&#92;gamma_b)d&#92;gamma_b = &#92;int &#92;frac{1}{(K-1)!{&#92;bar &#92;gamma_c}^K}{&#92;gamma_b}^{K-1}e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}} ' class='latex' /></p>
<p><img src='http://s0.wp.com/latex.php?latex=%3D%5Cfrac%7B1%7D%7B%28K-1%29%21%7B%5Cbar+%5Cgamma_c%7D%5EK%7D+%5Cint+%7B%5Cgamma_b%7D%5E%7BK-1%7De%5E%7B-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D%7D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;frac{1}{(K-1)!{&#92;bar &#92;gamma_c}^K} &#92;int {&#92;gamma_b}^{K-1}e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}} ' title='=&#92;frac{1}{(K-1)!{&#92;bar &#92;gamma_c}^K} &#92;int {&#92;gamma_b}^{K-1}e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}} ' class='latex' /></p>
<p><img src='http://s0.wp.com/latex.php?latex=%3D%5Cfrac%7Be%5E%7B-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D%7D%7D%7B%28-1%29%5EK%28K-1%29%21%7D%5Cleft%5B+%5Cleft%28-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D+%5Cright%29%5E%7BK-1%7D-%28K-1%29%5Cleft%28-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D+%5Cright%29%5E%7BK-2%7D%2B%5Cright.+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;frac{e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}}}{(-1)^K(K-1)!}&#92;left[ &#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-1}-(K-1)&#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-2}+&#92;right. ' title='=&#92;frac{e^{-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c}}}{(-1)^K(K-1)!}&#92;left[ &#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-1}-(K-1)&#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-2}+&#92;right. ' class='latex' /></p>
<p><img src='http://s0.wp.com/latex.php?latex=%5Cleft.%28K-1%29%28K-2%29%5Cleft%28-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D+%5Cright%29%5E%7BK-3%7D-%5Cdots%2B%28-1%29%5E%7BK-1%7D%28K-1%29%21%5Cright%5D+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;left.(K-1)(K-2)&#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-3}-&#92;dots+(-1)^{K-1}(K-1)!&#92;right] ' title='&#92;left.(K-1)(K-2)&#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-3}-&#92;dots+(-1)^{K-1}(K-1)!&#92;right] ' class='latex' /></p>
<p>Let <img src='http://s0.wp.com/latex.php?latex=g%28%5Cgamma_b%29%3DQ%28%5Csqrt%7B2%5Cgamma_b%7D%29&amp;bg=161410&amp;fg=999999&amp;s=0' alt='g(&#92;gamma_b)=Q(&#92;sqrt{2&#92;gamma_b})' title='g(&#92;gamma_b)=Q(&#92;sqrt{2&#92;gamma_b})' class='latex' /> also</p>
<p><img src='http://s0.wp.com/latex.php?latex=%5Cfrac%7Bd%7D%7Bdx%7D%5Cint_%7Bu%28x%29%7D%5E%7Bv%28x%29%7D+f%28t%29dt%3Df%28v%28x%29%29v%27%28x%29-f%28u%28x%29%29u%27%28x%29&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;frac{d}{dx}&#92;int_{u(x)}^{v(x)} f(t)dt=f(v(x))v&#039;(x)-f(u(x))u&#039;(x)' title='&#92;frac{d}{dx}&#92;int_{u(x)}^{v(x)} f(t)dt=f(v(x))v&#039;(x)-f(u(x))u&#039;(x)' class='latex' /></p>
<p>So</p>
<p><img src='http://s0.wp.com/latex.php?latex=g%27%28%5Cgamma_b%29%3D%5Cfrac%7Bd%7D%7Bd%5Cgamma_b%7DQ%28%5Csqrt%7B2%5Cgamma_b%7D%29%3D%5Cleft%28+-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%5Cpi%7D%7De%5E%7B-%5Cgamma_b%7D%5Cright%29%5Cleft%28+%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5Cgamma_b%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%5Cright%29+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='g&#039;(&#92;gamma_b)=&#92;frac{d}{d&#92;gamma_b}Q(&#92;sqrt{2&#92;gamma_b})=&#92;left( -&#92;frac{1}{&#92;sqrt{2&#92;pi}}e^{-&#92;gamma_b}&#92;right)&#92;left( &#92;frac{1}{&#92;sqrt{2}}&#92;gamma_b^{-&#92;frac{1}{2}}&#92;right) ' title='g&#039;(&#92;gamma_b)=&#92;frac{d}{d&#92;gamma_b}Q(&#92;sqrt{2&#92;gamma_b})=&#92;left( -&#92;frac{1}{&#92;sqrt{2&#92;pi}}e^{-&#92;gamma_b}&#92;right)&#92;left( &#92;frac{1}{&#92;sqrt{2}}&#92;gamma_b^{-&#92;frac{1}{2}}&#92;right) ' class='latex' /></p>
<p>Probability of error becomes</p>
<p><img src='http://s0.wp.com/latex.php?latex=P_2%3D%5Cint_0%5E%5Cinfty+Q%28%5Csqrt%7B2%5Cgamma_b%7D%29p%28%5Cgamma_b%29d%5Cgamma_b%3D%5Cleft.+F%28%5Cgamma_b%29g%28%5Cgamma_b%29%5Cright%7C_0%5E%5Cinfty-%5Cint_0%5E%5Cinfty+F%28%5Cgamma_b%29g%27%28%5Cgamma_b%29+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='P_2=&#92;int_0^&#92;infty Q(&#92;sqrt{2&#92;gamma_b})p(&#92;gamma_b)d&#92;gamma_b=&#92;left. F(&#92;gamma_b)g(&#92;gamma_b)&#92;right|_0^&#92;infty-&#92;int_0^&#92;infty F(&#92;gamma_b)g&#039;(&#92;gamma_b) ' title='P_2=&#92;int_0^&#92;infty Q(&#92;sqrt{2&#92;gamma_b})p(&#92;gamma_b)d&#92;gamma_b=&#92;left. F(&#92;gamma_b)g(&#92;gamma_b)&#92;right|_0^&#92;infty-&#92;int_0^&#92;infty F(&#92;gamma_b)g&#039;(&#92;gamma_b) ' class='latex' /></p>
<p><img src='http://s0.wp.com/latex.php?latex=%3D%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B%28-1%29%5EK%28K-1%29%21%7D%5Cfrac%7B1%7D%7B2%5Csqrt%7B%5Cpi%7D%7D%5Cint_0%5E%5Cinfty+%5Cgamma_b%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7De%5E%7B-%5Cgamma_b%5Cleft%28+1%2B%5Cfrac%7B1%7D%7B%5Cbar+%5Cgamma_c%7D+%5Cright%29%7D%5Cleft%5B+%5Cleft%28-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D+%5Cright%29%5E%7BK-1%7D-%28K-1%29%5Cleft%28-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D+%5Cright%29%5E%7BK-2%7D%5Cright.+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='=&#92;frac{1}{2}-&#92;frac{1}{(-1)^K(K-1)!}&#92;frac{1}{2&#92;sqrt{&#92;pi}}&#92;int_0^&#92;infty &#92;gamma_b^{-&#92;frac{1}{2}}e^{-&#92;gamma_b&#92;left( 1+&#92;frac{1}{&#92;bar &#92;gamma_c} &#92;right)}&#92;left[ &#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-1}-(K-1)&#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-2}&#92;right. ' title='=&#92;frac{1}{2}-&#92;frac{1}{(-1)^K(K-1)!}&#92;frac{1}{2&#92;sqrt{&#92;pi}}&#92;int_0^&#92;infty &#92;gamma_b^{-&#92;frac{1}{2}}e^{-&#92;gamma_b&#92;left( 1+&#92;frac{1}{&#92;bar &#92;gamma_c} &#92;right)}&#92;left[ &#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-1}-(K-1)&#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-2}&#92;right. ' class='latex' /></p>
<p><img src='http://s0.wp.com/latex.php?latex=%5Cleft.%2B%28K-1%29%28K-2%29%5Cleft%28-%5Cfrac%7B%5Cgamma_b%7D%7B%5Cbar+%5Cgamma_c%7D+%5Cright%29%5E%7BK-3%7D-%5Cdots%2B%28-1%29%5E%7BK-1%7D%28K-1%29%21%5Cright%5Dd%5Cgamma_b+&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;left.+(K-1)(K-2)&#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-3}-&#92;dots+(-1)^{K-1}(K-1)!&#92;right]d&#92;gamma_b ' title='&#92;left.+(K-1)(K-2)&#92;left(-&#92;frac{&#92;gamma_b}{&#92;bar &#92;gamma_c} &#92;right)^{K-3}-&#92;dots+(-1)^{K-1}(K-1)!&#92;right]d&#92;gamma_b ' class='latex' /></p>
<p>And somehow the equation becomes</p>
<p><img src='http://s0.wp.com/latex.php?latex=P_2%3D%5Cleft%5B+%5Cfrac%7B1%7D%7B2%7D%281-%5Cmu%29%5Cright%5D%5EK%5Csum_%7Bk%3D0%7D%5EK+%5Cbinom%7BK-1%2Bk%7D%7Bk%7D%5Cleft%5B+%5Cfrac%7B1%7D%7B2%7D%281%2B%5Cmu%29%5Cright%5D%5Ek&amp;bg=161410&amp;fg=999999&amp;s=0' alt='P_2=&#92;left[ &#92;frac{1}{2}(1-&#92;mu)&#92;right]^K&#92;sum_{k=0}^K &#92;binom{K-1+k}{k}&#92;left[ &#92;frac{1}{2}(1+&#92;mu)&#92;right]^k' title='P_2=&#92;left[ &#92;frac{1}{2}(1-&#92;mu)&#92;right]^K&#92;sum_{k=0}^K &#92;binom{K-1+k}{k}&#92;left[ &#92;frac{1}{2}(1+&#92;mu)&#92;right]^k' class='latex' /></p>
<p>where<br />
<img src='http://s0.wp.com/latex.php?latex=%5Cmu%3D%5Csqrt%7B%5Cfrac%7B%5Cbar+%5Cgamma_c%7D%7B1%2B%5Cbar+%5Cgamma_c%7D%7D&amp;bg=161410&amp;fg=999999&amp;s=0' alt='&#92;mu=&#92;sqrt{&#92;frac{&#92;bar &#92;gamma_c}{1+&#92;bar &#92;gamma_c}}' title='&#92;mu=&#92;sqrt{&#92;frac{&#92;bar &#92;gamma_c}{1+&#92;bar &#92;gamma_c}}' class='latex' /></p>
<p>So that&#8217;s it. Anybody can help me on the last part of the derivation? You can download the pdf version of that equation <a href="http://overblaze.files.wordpress.com/2008/11/ber_rayleigh_bpsk_mrc.pdf">here</a>.</p>
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		<title>PSP and Linux</title>
		<link>http://overblaze.wordpress.com/2008/11/12/psp-and-linux/</link>
		<comments>http://overblaze.wordpress.com/2008/11/12/psp-and-linux/#comments</comments>
		<pubDate>Wed, 12 Nov 2008 06:16:12 +0000</pubDate>
		<dc:creator>overblaze</dc:creator>
				<category><![CDATA[linux]]></category>
		<category><![CDATA[psp]]></category>
		<category><![CDATA[converter]]></category>
		<category><![CDATA[pdf]]></category>
		<category><![CDATA[video]]></category>

		<guid isPermaLink="false">http://overblaze.wordpress.com/?p=105</guid>
		<description><![CDATA[For Linux(nix) users, creating psp compatible files is so easy. Use the following. How to convert videos to psp compatible format: ffmpeg -i InputVideo -f psp -r 29.97 -b 768k -ar 24000 -ab 64k -s 320x240 outputvideo.mp4 How to convert pdf to image(s): convert nani.pdf nani.jpg or you can use ghostscript instead using this script: [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=overblaze.wordpress.com&amp;blog=4922356&amp;post=105&amp;subd=overblaze&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>For Linux(nix) users, creating psp compatible files is so easy. Use the following.</p>
<p>How to convert videos to psp compatible format:<br />
<code>ffmpeg -i InputVideo -f psp -r 29.97 -b 768k -ar 24000 -ab 64k -s 320x240 outputvideo.mp4</code></p>
<p>How to convert pdf to image(s):<br />
<code>convert nani.pdf nani.jpg</code><br />
or you can use ghostscript instead using this script:<br />
<code>#!/bin/bash<br />
if [ $# -ne 2 ];then<br />
echo “Usage: $0 input.pdf outfile”<br />
exit<br />
fi<br />
<code>INPUT=$1<br />
OUTFILE=$2<br />
gs \<br />
-dSAFER \<br />
-dBATCH \<br />
-dNOPAUSE \<br />
-sDEVICE=jpeg \<br />
-r150 \<br />
-dTextAlphaBits=4 \<br />
-dGraphicsAlphaBits=4 \<br />
-dMaxStripSize=8192 \<br />
-sOutputFile=${INPUT}_%d.jpg \<br />
${TARGET}</code></code></p>
<p>To be able to execute convert and ffmpeg, you need to install them first of course.</p>
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