http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/ Your window into the Wireless Systems Innovation Laboratory Sun, 27 May 2012 13:13:57 +0000 http://wordpress.org/?v=2.0.3 http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-30894 Sun, 17 Feb 2008 05:48:15 +0000 http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-30894 [...] The concept of switching between diversity and multiplexing should not be confused with the diversity-multiplexing tradeoff (DMT). The reason is that the DMT is an analysis tool. It is good for understanding performance of families of space-time formatting techniques over all channel realizations but does not provide insight into choosing the best technique for a given channel realization. [...] […] The concept of switching between diversity and multiplexing should not be confused with the diversity-multiplexing tradeoff (DMT). The reason is that the DMT is an analysis tool. It is good for understanding performance of families of space-time formatting techniques over all channel realizations but does not provide insight into choosing the best technique for a given channel realization. […]

]]> http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-22979 Sun, 18 Nov 2007 12:22:53 +0000 http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-22979 [...] After my post on the diversity-multiplexing tradeoff, which seemed to create confusion instead of alleviating it, Prof. Heath asked me to clarify the finite-SNR diversity-multiplexing tradeoff proposed by Narasimhan in [1] (pdf). The previous explanation of the Zheng-Tse DMT really simplifies the explanation of the Narasimhan DMT. If you understood the previous post (in the rest of this post I will assume you didn’t), then the finite-SNR result simply defines diversity as the slope of the outage curve at a given SNR. If you have the 3-D plot of outage versus SNR and R, then fix r. Then, for each SNR, the DMT curve is given by (d,r,SNR), where d is the slope of the outage curve at SNR. There is a little bit more to it, so keep reading even if you understood that. [...] […] After my post on the diversity-multiplexing tradeoff, which seemed to create confusion instead of alleviating it, Prof. Heath asked me to clarify the finite-SNR diversity-multiplexing tradeoff proposed by Narasimhan in [1] (pdf). The previous explanation of the Zheng-Tse DMT really simplifies the explanation of the Narasimhan DMT. If you understood the previous post (in the rest of this post I will assume you didn’t), then the finite-SNR result simply defines diversity as the slope of the outage curve at a given SNR. If you have the 3-D plot of outage versus SNR and R, then fix r. Then, for each SNR, the DMT curve is given by (d,r,SNR), where d is the slope of the outage curve at SNR. There is a little bit more to it, so keep reading even if you understood that. […]

]]> http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-22852 Sat, 17 Nov 2007 09:45:38 +0000 http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-22852 Yeah, I'll do that. There are really two graphs that could easily explain it, but one is 3-D, and I'm not sure which software to use to draw it correctly. Yeah, I’ll do that. There are really two graphs that could easily explain it, but one is 3-D, and I’m not sure which software to use to draw it correctly.

]]> http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-22840 Sat, 17 Nov 2007 06:08:59 +0000 http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-22840 Really nice post with good use of equations and plots. I have to confess I just don't get it here. I would like to understand it more. Can you make a post that compares the DMT with the finite-SNR DMT. Something is missing in my mind. I want to clear this up for the MIMO book for sure. Really nice post with good use of equations and plots. I have to confess I just don’t get it here. I would like to understand it more. Can you make a post that compares the DMT with the finite-SNR DMT. Something is missing in my mind. I want to clear this up for the MIMO book for sure.

]]> http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-21593 Mon, 05 Nov 2007 00:36:49 +0000 http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-21593 much needed. thx steve. are you gonna put up the figures? much needed. thx steve. are you gonna put up the figures?

]]> http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-21399 Fri, 02 Nov 2007 22:11:28 +0000 http://windowsil.org/2007/11/02/the-diversity-multiplexing-tradeoff/#comment-21399 Excellent post Steve...this really is what the blog was designed for. I'm looking forward to Prof. Heath's comments. Excellent post Steve…this really is what the blog was designed for. I’m looking forward to Prof. Heath’s comments.

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