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Article in DSPDesignLine.com: M-QAM symbol error

Posted By Krishna Sankar On May 24, 2008 @ 6:56 am In Modulation | 21 Comments

Its been a nice week for me, wherein I guest posted an article in DSPDesignLine.com [1].

The article derives the theoretical symbol error rate for M-QAM modulation. The theoretical results are further supplemented by Matlab/Octave simulation scripts.

Those who are familiar with derivation of symbol error rate for 16-QAM modulation [2] will find the equations easy to interpret. As we did for 16-QAM,

(a) We identify the three different types of symbols – corner, inside, neither inside nor corner.

(b) Then we find the symbol error probability for each of the three types of symbols

(c) Total error probability is found assuming that all the symbols are equally likely.

The same article is cross-posted also in Embedded.com [4]

For those who are not interested in the full article, the probability of error for M-QAM modulation is,

$P(e|MQAM) =2\left(1-\frac{1}{\sqrt{M}}\right)erfc\left(k\sqrt{\frac{E_s}{N_0}}\right)-\left(1-\frac{2}{\sqrt{M}}+\frac{1}{M}\right)erfc^2\left(k\sqrt{\frac{E_s}{N_0}}\right)$.

URL to article: http://www.dsplog.com/2008/05/24/article-in-dspdesignlinecom-m-qam-symbol-error/

URLs in this post:

[1] DSPDesignLine.com: http://www.dspdeisgnline.com

[2] symbol error rate for 16-QAM modulation: http://www.dsplog.com/2007/12/09/symbol-error-rate-for-16-qam/

[3] published in DSPDesignLine.com: http://www.dspdesignline.com/howto/207601769;jsessionid=BNSZSDNOJRYKEQSNDLPSKH0CJUNN2JVN

[4] Embedded.com: http://www.embedded.com/columns/technicalinsights/207801597?_requestid=88879