Derivation Of Probability Of Error
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removed. (December 2009) (Learn how and when to remove this template message) In statistics, the term "error" arises in two ways. Firstly, it arises derivation of probability density function in the context of decision making, where the probability of error may
Tunneling Probability Derivation
be considered as being the probability of making a wrong decision and which would have a different value
Probability Current Derivation
for each type of error. Secondly, it arises in the context of statistical modelling (for example regression) where the model's predicted value may be in error regarding the observed
Conditional Probability Derivation
outcome and where the term probability of error may refer to the probabilities of various amounts of error occurring. Hypothesis testing[edit] In hypothesis testing in statistics, two types of error are distinguished. Type I errors which consist of rejecting a null hypothesis that is true; this amounts to a false positive result. Type II errors which consist of failing transmission probability derivation to reject a null hypothesis that is false; this amounts to a false negative result. The probability of error is similarly distinguished. For a Type I error, it is shown as α (alpha) and is known as the size of the test and is 1 minus the specificity of the test. It should also be noted that α (alpha) is sometimes referred to as the confidence of the test, or the level of significance (LOS) of the test. For a Type II error, it is shown as β (beta) and is 1 minus the power or 1 minus the sensitivity of the test. Statistical and econometric modelling[edit] The fitting of many models in statistics and econometrics usually seeks to minimise the difference between observed and predicted or theoretical values. This difference is known as an error, though when observed it would be better described as a residual. The error is taken to be a random variable and as such has a probability distribution. Thus distribution can be used to calculate the probabilities of errors with valu
Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site About Us Learn more conditional probability formula derivation about Stack Overflow the company Business Learn more about hiring developers or posting ads probability of error in mmse multiuser detection with us Signal Processing Questions Tags Users Badges Unanswered Ask Question _ Signal Processing Stack Exchange is a question and answer probability of error bpsk site for practitioners of the art and science of signal, image and video processing. Join them; it only takes a minute: Sign up Here's how it works: Anybody can ask a question Anybody can https://en.wikipedia.org/wiki/Probability_of_error answer The best answers are voted up and rise to the top Deriving SER & BER for 4QAM, 16QAM and 32QAM up vote 0 down vote favorite Required to find symbol error rate vs $\dfrac{E_b}{N_0}$ for 4QAM, 16QAM & 32QAM. Thought that SER & BER are the same but did my research to find that BER is $\dfrac{1}{\log_2(M)}$ of SER...(could you please confirm this?) Also found SER for: 4QAM http://dsp.stackexchange.com/questions/16240/deriving-ser-ber-for-4qam-16qam-and-32qam to be: $\text{erfc}\sqrt{\dfrac{E_b}{2N_0}}$ and that of 16QAM to be: $\dfrac{3}{2} \text{erfc}\sqrt{\dfrac{E_b}{10N_0}}$ Are these values correct? Still have problems to find SER for 32QAM... Hope you can help. derivation share|improve this question edited May 13 '14 at 19:26 jojek♦ 6,70041444 asked May 13 '14 at 19:14 John Smith 112 Take a look at this question and its answers: dsp.stackexchange.com/questions/15996/… –Matt L. May 13 '14 at 19:15 still can't understand the relation (not mentioned anywhere in those questions & answers). Also 16QAM & 32QAM weren't covered in that question.. –John Smith May 13 '14 at 19:23 did my research, cant use that formula when dealing with an odd number of bits per symbol, for which bits per symbol for 32QAM is 5... –John Smith May 13 '14 at 19:41 @JohnSmith: The problem is that there isn't a standard definition of what 32-QAM is. For non-square QAM modulations, there are multiple geometries in which you could implement the constellation, will have an effect on the error rate. You need to specify the exact constellation in order to calculate its theoretical SER. –Jason R May 13 '14 at 19:44 1 Your formulas for BER as a function of SER, the SE
Google. Het beschrijft hoe wij gegevens gebruiken en welke opties je hebt. Je moet dit vandaag nog doen. Navigatie overslaan NLUploadenInloggenZoeken Laden... Kies https://www.youtube.com/watch?v=UWZZ5Ig3d8M je taal. Sluiten Meer informatie View this message in English Je gebruikt YouTube in het Nederlands. Je kunt deze voorkeur hieronder wijzigen. Learn more You're viewing YouTube in Dutch. You can change this preference below. Sluiten Ja, nieuwe versie behouden Ongedaan maken Sluiten Deze video is niet beschikbaar. WeergavewachtrijWachtrijWeergavewachtrijWachtrij Alles verwijderenOntkoppelen Laden... Weergavewachtrij Wachtrij __count__/__total__ Lecture - 24 Calculation of probability of Probability of Error nptelhrd AbonnerenGeabonneerdAfmelden614.675614K Laden... Laden... Bezig... Toevoegen aan Wil je hier later nog een keer naar kijken? Log in om deze video toe te voegen aan een afspeellijst. Inloggen Delen Meer Rapporteren Wil je een melding indienen over de video? Log in om ongepaste content te melden. Inloggen Transcript Statistieken 14.917 weergaven 6 Vind je dit een leuke video? probability of error Log in om je mening te geven. Inloggen 7 0 Vind je dit geen leuke video? Log in om je mening te geven. Inloggen 1 Laden... Laden... Transcript Het interactieve transcript kan niet worden geladen. Laden... Laden... Beoordelingen zijn beschikbaar wanneer de video is verhuurd. Deze functie is momenteel niet beschikbaar. Probeer het later opnieuw. Geüpload op 28 aug. 2008Lecture Series on Digital Communication by Prof.Bikash. Kumar. Dey , Department of Electrical Engineering,IIT Bombay. For more details on NPTEL visit http://nptel.iitm.ac.in Categorie Onderwijs Licentie Standaard YouTube-licentie Meer weergeven Minder weergeven Laden... Autoplay Wanneer autoplay is ingeschakeld, wordt een aanbevolen video automatisch als volgende afgespeeld. Volgende Lecture - 23 Calculation of Probability of Error - Duur: 53:39. nptelhrd 16.858 weergaven 53:39 Lecture - 25 Equalizers - Duur: 56:09. nptelhrd 17.439 weergaven 56:09 Lecture - 22 Probability of Error Calculation - Duur: 58:33. nptelhrd 27.886 weergaven 58:33 Lecture - 3 Quantization , PCM and Delta Modulation - Duur: 51:43. nptelhrd 138.270 weergaven 51:43 36. Error Performance of BFSK and M-ARY PSK - Duur: 56:21. kashyap B 4.570 weergaven 56:21 QAM, QPSK Explanati