Difference Between Bit Error Rate And Symbol Error Rate
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Ber And Ser Relation
Stack Exchange is a question and answer site for practitioners of the art and science of signal, image and video processing. Join them; it only symbol error rate for qpsk takes a minute: Sign up Here's how it works: Anybody can ask a question Anybody can answer The best answers are voted up and rise to the top Deriving SER & BER for 4QAM, 16QAM and 32QAM up vote 0 symbol error rate matlab 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 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
Ber/ser Calculation
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 SER for 4QAM and the SER for 16QAM are incorrect. For the correct formulas for SER, see the answers to the question referenced by Matt L. In my answer there, I give a link to lecture notes that cover the SER calculations and show how to find an approximation to the BER for 4QAM and 16QAM (assuming Gray coding on both I and Q signals). The SER calculations can be extended to
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Symbol Rate
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ComparedOEMs traditionally used DSP-based hardware, plugged into a PC, for motion control. But new software-based solutions have challenged this approach, claiming equal or better performance at lower cost.View Forums comp.dsp Symbol Error Rate vs. Bit Error Rate? Started by Randy Yates ●April 3, 2008 ChronologicalNewest https://www.dsprelated.com/showthread/comp.dsp/94533-1.php First I'm feeling confused. Again referring to the chart in Figure 5.2-17 on p.282 of [proakiscomm], these datapoints are for a 10^{-5} symbol error rate. Why symbol error rate? It seems like this isn't comparing apples to apples since http://www.radio-electronics.com/info/rf-technology-design/ber/bit-error-rate-tutorial-definition.php an error in an M-bit symbol could be 1, 2, ..., or M bit errors, thus the bit error rate could be different between any two modulations. It seems like what we'd rather do is compare based on equivalent error rate bit error rates. No? Comments? -- % Randy Yates % "Rollin' and riding and slippin' and %% Fuquay-Varina, NC % sliding, it's magic." %%% 919-577-9882 % %%%%
Formulae Manufacture Satellites Telecoms & networks Jobs RF Technology & Design BER Bit Error Rate Tutorial and Definition - bit error rate, BER is used to quantify a channel carrying data by counting the rate of errors in a data string. It is used in telecommunications, networks and radio systems. Bit Error Rate Tutorial Includes Bit error rate basics / tutorialBit error rate testing Bit error rate, BER is a key parameter that is used in assessing systems that transmit digital data from one location to another. Systems for which bit error rate, BER is applicable include radio data links as well as fibre optic data systems, Ethernet, or any system that transmits data over a network of some form where noise, interference, and phase jitter may cause degradation of the digital signal. Although there are some differences in the way these systems work and the way in which bit error rate is affected, the basics of bit error rate itself are still the same. When data is transmitted over a data link, there is a possibility of errors being introduced into the system. If errors are introduced into the data, then the integrity of the system may be compromised. As a result, it is necessary to assess the performance of the system, and bit error rate, BER, provides an ideal way in which this can be achieved. Unlike many other forms of assessment, bit error rate, BER assesses the full end to end performance of a system including the transmitter, receiver and the medium between the two. In this way, bit error rate, BER enables the actual performance of a system in operation to be tested, rather than testing the component parts and hoping that they will operate satisfactorily when in place. Bit error rate BER definition and basics As the name implies, a bit error rate is defined as the rate at which errors occur in a transmission system. This can be directly translated into the number of errors that occur in a string of a stated number of bits. The definition of bit error rate can be translated into a simple formula: If the medium between the transmitter and receiver is good and the signal to noise ratio is high, then the bit error rate will be very small - possibly insignifi