Bit Error Rate Confidence Interval
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Search All Support Resources Support Documentation MathWorks Search MathWorks.com MathWorks Documentation Support Documentation Toggle navigation Trial Software Product Updates Documentation Home Communications System Toolbox Examples Functions and bit error rate confidence level Other Reference Release Notes PDF Documentation Measurements, Visualization, and Analysis Communications System measure error rates quickly and accurately Toolbox Functions berconfint On this page Syntax Description Examples References See Also This is machine translation Translated by Mouse bit error rate calculator over text to see original. Click the button below to return to the English verison of the page. Back to English × Translate This Page Select Language Bulgarian Catalan Chinese
Ber Calculation In Matlab
Simplified Chinese Traditional Czech Danish Dutch English Estonian Finnish French German Greek Haitian Creole Hindi Hmong Daw Hungarian Indonesian Italian Japanese Korean Latvian Lithuanian Malay Maltese Norwegian Polish Portuguese Romanian Russian Slovak Slovenian Spanish Swedish Thai Turkish Ukrainian Vietnamese Welsh MathWorks Machine Translation The automated translation of this page is provided by a general purpose third party translator tool. MathWorks does not bit error rate measurement warrant, and disclaims all liability for, the accuracy, suitability, or fitness for purpose of the translation. Translate berconfintBit error rate (BER) and confidence interval of Monte Carlo simulation Syntax[ber,interval] = berconfint(nerrs,ntrials)
[ber,interval] = berconfint(nerrs,ntrials,level)
Description[ber,interval] = berconfint(nerrs,ntrials) returns the error probability estimate ber and the 95% confidence interval interval for a Monte Carlo simulation of ntrials trials with nerrs errors. interval is a two-element vector that lists the endpoints of the interval. If the errors and trials are measured in bits, the error probability is the bit error rate (BER); if the errors and trials are measured in symbols, the error probability is the symbol error rate (SER).[ber,interval] = berconfint(nerrs,ntrials,level) specifies the confidence level as a real number between 0 and 1.ExamplesIf a simulation of a communication system results in 100 bit errors in 106 trials, the BER (bit error rate) for that simulation is the quotient 10-4. The command below finds the 95% confidence interval for the BER of the system.nerrs = 100; % Number of bit errors in simulation ntrials = 10^6; % Number of trials in simula
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December 26, 2010 by mathscinotes Introduction Test time is expensive. Since our products need to conform to industry standards for Bit Error Rate (BER), we need to test for BER. It is important that we test long enough to http://mathscinotes.com/2010/12/test-time-and-estimating-bit-error-rate/ ensure that we meet the requirements, yet not so long as to spend more money than we need to. I was asked to develop a rational approach for determining the amount of test time required. I put together our current procedures years ago, but now they need to be refreshed as we prepare to offer newer, higher speed transports. While I was reviewing these procedures, I saw that the analysis required was interesting and thought I error rate would document it here. Our procedures are based on a couple of papers from Maxim and Lightwave Magazine. In this blog, I generate a Mathcad model of BER based on the results of these papers and examine a couple of transport examples. For testing purposes, a number of bits must be transferred with the number of errors less than a given amount to provide sufficient confidence of meeting the BER requirement. This analysis will compute the number bit error rate of bits that must be transferred with less than a given number of errors to provide sufficient confidence that we are meeting the BER requirement. The test time is computed by multiplying the number of bits by the transfer rate. Analysis Definitions As with most technical discussions, it is important to get your terms defined upfront. Bit Error Rate (BER) BER is the ratio of the number of bit errors to the total number of bits transferred over an infinite time interval. Mathematically, we can express this definition as , where n is the number of bits transferred and the ε is the number of errors among those n bits. Confidence Interval (CI) The confidence interval is a particular kind of interval estimate of a population parameter and is used to indicate the reliability of an estimate. It is an observed interval (i.e it is calculated from the observations), in principle different from sample to sample, that frequently includes the parameter of interest, if the experiment is repeated. The frequency that the observed interval contains the parameter is determined by the confidence level or confidence coefficient. Confidence Level (CL) Confidence level refers to the likelihood that the true population parameter lies within the range specified by the confidence interval. In this case, the confidence interval is in the range from 0 to the specified BER limit. For exam