Quantization Error Of Adc
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How To Reduce Quantization Error
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 What is “Maximum Quantization Error”? up vote 2 down vote favorite 1 I have an formula for
Quantization Level
this "Maximum Quantization Error" but i dont know what it is based in. Its just thrown in my study material without further explanation. It is defined as: $$Q = \dfrac {\Delta x}{2^{N+1}}$$ where $N$ is the number of bits used for quantization in a analog to digital conversion, and $\Delta x$ is, in portuguese "Faixa de Excursão do Sinal", I don't know what would be the correct translation, but I bet on something like "Signal Excursion Band". I know, its a strange name. Can what is quantization someone help me with this? What is this $\Delta x$? Sorry for my bad english, it isnt my native language. adc quantization share|improve this question edited Apr 29 '14 at 17:07 jojek♦ 6,71041444 asked Apr 29 '14 at 15:19 Diedre 20115 Evidently you are learning the basics. Speaking as a retired EE; real designs are a lot more complicated. The answer below is idealized for discussion. While not wrong, there are large confounding terms in physical implementation. –rrogers Dec 30 '15 at 14:42 add a comment| 1 Answer 1 active oldest votes up vote 4 down vote accepted When you quantize a signal, you introduce and error which can be defined as $$q[n] = x_q[n]-x[n]$$ where $q[n]$ is the quantization error, $x[n]$ the original signal, and $x_q[n]$ of the quantized signal. The maximum quantization error is simply $max(\left | q \right |)$, the absolute maximum of this error function. Dx in this definition seems to be the range of the input signal so we could rewrite this as $$Q = \frac{max(x)-min(x)}{2^{N+1}}$$ Let's look at a quick example. Let's assume you have a signal that's uniformly distributed between -1 and +1 and you want to quantize this with 3 bits. You have a total 8 of quantizaton steps which would map to [-1 -.75 -.5 -25 0 .25 .5 .75]. The difference between steps is 0.25. If you round during quantization the maximum error will be half of that (i.e. 0.125). Now let's try the formula: $$Q = \frac
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Quantization Step Size Formula
comments 10 bit A/D converters, the quantization error is given by (in Percent)-HAL 2011 quantization error in a/d converter A) 1 B) 2 C) 0.1 D) 0.2 Note: Post your answers with Option name and reason of your answer so quantization example that others can able to understand and if you want to receive answers from other candidates click notify me below the comment form. View Answers Post your Answer 4 comments: surjeet rawat19 October 2013 at http://dsp.stackexchange.com/questions/15925/what-is-maximum-quantization-error 00:54.1%...............since quantiztion error is given by (1/no of step size).total no of step size -2^n where n is the no of bit...2^10=1024q=(1/1024)ie .1%ReplyDeleteRepliesAatef7 November 2013 at 15:47As per my knowledge Quantization error is given as + - (Step Size)/2Step size= Vpp/2^10 = Vpp/1024Qe=Vpp/2048Percentage Qe= 1/2048 ~ 0.05%Where I am making mistake?DeleteHema Trinath9 October 2015 at 18:42Step Size is Vmax-Vmin i.e., 2v i.e,2v/2048DeleteReplyFaiyaz Alam4 November 2013 at 14:49i m agree with above http://www.eceway.com/2013/10/10-bit-ad-converters-quantization-error.html answer.ReplyDeleteAdd commentLoad more... Newer Post Older Post Home Search advertisements Google+ Followers Email Newsletter Subscribe to our newsletter to get the latest updates to your inbox. ;-) Your email address is safe with us! Categories books (12) careers (74) diplomaece (51) ece jobs (446) experienced (48) facultyjobs (9) gate (25) gate 2017 (3) internships (22) jobs (612) M.tech jobs (20) m.tech-admissions (10) placement papers (5) syllabus (28) teachingjobs (5) walkins (28) Top Posts BEL 2016 Recruitment of engineers-ECE BEL Optronic Devices Limited (BELOP) is a subsidiary of Bharat Electronics Limited requiresMechanical Engineers and Electronics Engineers o... Top ECE high paying core related private companies careers in India I already posted top government core companies in my previous posts,Now i am giving some top list of private sector companies related t... IIAP latest wakin recruitment indian institute of astrophysics recruitment for wakin No. of position : One Salary: Rs. 20,000/- per month (inclusive of all) Age ... ECIL Walk in on 25 oct 2016 for Technical Officer & Jr Artisan Posts Department of Atomic Energy, Electronics Corporation of India Limited (ECIL) has issued a notification for the recruitment of Technical O... NSTL Vizag walkin on 22-OCT-2016 Naval Science & Technological Laboratory conducts walkin for the post of Junior research fellow(JRF) on 22-1
Data Conversion Website Quantization Error and Signal - to - Noise Ratio calculations The signal to noise ratio of a quantized signal is 2+6*(no of bits), as shown in the following table. Resolution and Signal to Noise Ratio for signals http://www.skillbank.co.uk/SignalConversion/snr.htm coded as n bits bits, n levels, 2n Weighting of LSB, 2-n SNR, dB 1 2 0.5 8 2 4 0.25 14 3 8 0.125 20 4 16 0.0625 26 5 32 0.03125 32 6 64 0.01563 38 7 128 0.00781 44 8 256 0.00391 50 9 512 0.00195 56 10 1024 0.00098 62 11 2048 0.00048 68 12 4096 0.00024 74 13 8192 0.00012 80 14 16384 0.00006 86 15 32768 0.00003 92 quantization error 16 65536 0.00001 98 These values are for a signal matched to the full-scale range of the converter. If a signal with a range of 5V is measured by an 8 bit ADC with a range of 10V then only 7 bits are effectively in use, and a signal to noise ratio of 44 rather than 50 will apply. Proof: Suppose that the instantaneous value of the input voltage is measured by quantization error in an ADC with a Full Scale Range of Vfs volts, and a resolution of n bits. The real value can change through a range of q = Vfs / 2n volts without a change in measured value occurring. The value of the measured signal is Vm = Vs - e, where Vm is the measured value, Vs is the actual value, and e is the error. The maximum value of error in the measured signal is emax = (1/2)(Vfs / 2n) or emax = q/2 since q = Vfs / 2n The RMS value of quantization error voltage is whence The Signal to Noise Ratio (SNR) is defined as It is normally quoted on a logarithmic scale, in deciBels ( dB ). or The RMS signal voltage is then The error, or quantization noise signal is Thus the signal - to - noise ratio in dB. is since Vfs = 2n q, then which simplifies to N.B. This equation is true only if the input signal is exactly matched to the Full Scale Range of the converter. For signals whose amplitude is less than the FSR the Signal - to - Noise Ratio will be reduced. Download a .pdf file of the analysis of quantization error and signal to noise ratio
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