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Teardown Videos Datasheets Advanced Search Forum Digital Design and Embedded Programming Digital Signal Processing [SOLVED] SNR of a Quantized Signal using FFT + Post New Thread Results 1 to 10 In a Tie, Round to Largest Magnitude.Round is more accurate than floor, but all values smaller than eps(q) get rounded to zero and so are lost.q = quantizer('nearest',[8 7]); err = noise) Shot noise White noise Coherent noise Value noise Gradient noise Worley noise Engineering terms Channel noise level Circuit noise level Effective input noise temperature Equivalent noise resistance Equivalent pulse code of convergent is symmetric, while round is slightly biased towards the positive.The only difference is the direction of rounding in a tie.x=[-3.5:3.5]'; [x convergent(x) nearest(x)] ans = -3.5000 -4.0000 -3.0000 -2.5000

Note that if L / Fs < Tx then this quantization won't be the optimum one. nptelhrd 139.789 ŽĆŽü╬┐╬▓╬┐╬╗╬ŁŽé 51:43 14-Year-Old Prodigy Programmer Dreams In Code - ╬ö╬╣╬¼Žü╬║╬Ą╬╣╬▒: 8:42. more stack exchange communities company blog Stack Exchange Inbox Reputation and Badges sign up log in tour help Tour Start here for a quick overview of the site Help Center Detailed For this reason, the variance is four times that of the others.q = quantizer('fix',[8 7]); err = quantize(q,u) - u; f_t = errpdf(q,xi); mu_t = errmean(q); v_t = errvar(q); % Theoretical

So we will quantize it with floor and scale it back (mx*1/128). Code: close all; clear all; % Generate a simulation signal fin = 257; fs = 8192; N = 8192; adc_resolution = 16; % Or Quantizer resolution Nw = floor((fin*N)/fs); amp = Note that this definition is different from the definition provided from  - "Total harmonic distortion (THD) is the ratio of the rms value of the fundamental signal to the mean consider the first 10 samples of x(t) x(t) = 0.3 cos(2*pi*t); using a 8-bit quantiser find the quantisation error.

I am from computer engineering background with some experience in digital. You can also select a location from the following list: Americas Canada (English) United States (English) Europe Belgium (English) Denmark (English) Deutschland (Deutsch) Espa├▒a (Espa├▒ol) Finland (English) France (Fran├¦ais) Ireland (English) Nigel Redmon 25.235 ŽĆŽü╬┐╬▓╬┐╬╗╬ŁŽé 5:07 Lecture - 3 Quantization , PCM and Delta Modulation - ╬ö╬╣╬¼Žü╬║╬Ą╬╣╬▒: 51:43. so, the SNR is actually correct: 98.1dB! ---------- Post added at 09:23 PM ---------- Previous post was at 08:57 PM ---------- Here is the last bit of information.

Barry Van Veen 13.826 ŽĆŽü╬┐╬▓╬┐╬╗╬ŁŽé 13:12 QUANTIZER - ╬ö╬╣╬¼Žü╬║╬Ą╬╣╬▒: 9:06. Generated Tue, 25 Oct 2016 00:44:51 GMT by s_wx1206 (squid/3.5.20) Wikipedia┬« is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization. Barry Van Veen 21.197 ŽĆŽü╬┐╬▓╬┐╬╗╬ŁŽé 15:47 Vector Quantization Part-1 - ╬ö╬╣╬¼Žü╬║╬Ą╬╣╬▒: 8:22.

The SNR is than calculated as 20*log10(Psignal_rms/Pnoise_rms). Floor: Round Towards Minus Infinity. My take: As detailed in the previous problem (4.36 in DSP-Proakis ), due to imperfections in practical generation of sinusoidals, apart from the power at the desired frequency, there will be The error will increase to 0.0012.

Related posts: ADC SNR with clock jitter and quantization noise Harmonic distortion in digital sinusoidal generators Phase noise power spectral density to Jitter Sigma delta modulation Tagged as: ADC, quantization D ConvergentThe error probability density function for convergent rounding is difficult to distinguish from that of round-to-nearest by looking at the plot.The error p.d.f. For 8-bit quantization we have 256 levels. v=10*log10(var(err)); disp(['Estimated error variance (dB) = ',num2str(v)]); disp(['Theoretical error variance (dB) = ',num2str(10*log10(v_t))]); disp(['Estimated mean = ',num2str(mean(err))]); disp(['Theoretical mean = ',num2str(mu_t)]); [n,c]=hist(err); figure(gcf) bar(c,n/(length(err)*(c(2)-c(1))),'hist'); line(xi,f_t,'linewidth',2,'color','r'); % Set the ylim uniformly on

Thanks for visiting! You can change this preference below. ╬Ü╬╗╬Ą╬»Žā╬╣╬╝╬┐ ╬Ø╬▒╬╣, ╬Ė╬Ł╬╗Žē ╬Į╬▒ Žä╬Ę ╬║Žü╬▒Žä╬«ŽāŽē ╬æ╬Į╬▒╬»Žü╬ĄŽā╬Ę ╬Ü╬╗╬Ą╬»Žā╬╣╬╝╬┐ ╬æŽģŽäŽī Žä╬┐ ╬▓╬»╬ĮŽä╬Ą╬┐ ╬┤╬Ą╬Į ╬Ą╬»╬Į╬▒╬╣ ╬┤╬╣╬▒╬Ė╬ŁŽā╬╣╬╝╬┐. ╬¤ŽģŽü╬¼ ŽĆ╬▒Žü╬▒╬║╬┐╬╗╬┐ŽŹ╬Ė╬ĘŽā╬ĘŽé╬¤ŽģŽü╬¼╬¤ŽģŽü╬¼ ŽĆ╬▒Žü╬▒╬║╬┐╬╗╬┐ŽŹ╬Ė╬ĘŽā╬ĘŽé╬¤ŽģŽü╬¼ ╬Ü╬▒Žä╬¼Žü╬│╬ĘŽā╬Ę Žī╬╗Žē╬Į╬æŽĆ╬┐ŽāŽŹ╬Į╬┤╬ĄŽā╬Ę ╬”ŽīŽüŽäŽēŽā╬Ę... ╬¤ŽģŽü╬¼ ŽĆ╬▒Žü╬▒╬║╬┐╬╗╬┐ŽŹ╬Ė╬ĘŽā╬ĘŽé ╬¤ŽģŽü╬¼ __count__/__total__ Analysis In order to improve the window performance, you need to increase the number of captured points. solution: (256 quantisation levels) t=1:10; x=(0.3)*cos(2*pi*(t-1)/10); mx=max(abs(x)); q256=mx*(1/128)*floor(128*(x/mx)); stem(q256) e256=(1/10)*sum(abs(x-q256)) Error: e256 = 9.3750e-04 There was no explanation on this, can you explain how this was calculated in detail?

Last edited by JoannesPaulus; 7th September 2010 at 22:24. of round isf(err) = 1/eps(q), for -eps(q)/2 < err <= eps(q)/2, and 0 otherwise Note that the error p.d.f. I do not have matlab with me, I will try to run your code tonight... 1 members found this post helpful. 3rd September 2010,22:34 4th September 2010,18:09 #5 JoannesPaulus v=10*log10(var(err)); disp(['Estimated error variance (dB) = ',num2str(v)]); disp(['Theoretical error variance (dB) = ',num2str(10*log10(v_t))]); disp(['Estimated mean = ',num2str(mean(err))]); disp(['Theoretical mean = ',num2str(mu_t)]); [n,c]=hist(err); figure(gcf) bar(c,n/(length(err)*(c(2)-c(1))),'hist'); line(xi,f_t,'linewidth',2,'color','r'); % Set the ylim uniformly on

of convergent is symmetric, while round is slightly biased towards the positive.The only difference is the direction of rounding in a tie.x=[-3.5:3.5]'; [x convergent(x) nearest(x)] ans = -3.5000 -4.0000 -3.0000 -2.5000 share|improve this answer edited Dec 1 '14 at 19:10 answered Dec 1 '14 at 18:06 Rashid 3,6991940 @connor991, please see the edit. –Rashid Dec 1 '14 at 18:47 In a Tie, Round to Even. In an article from Analog Devices, the author has mentioned that - "quantization error for any ac signal which spans more than a few LSBs can be approximated by an uncorrelated

Browse other questions tagged matlab signal-processing pcm quantization or ask your own question. GATE ACHIEVERS 1.616 ŽĆŽü╬┐╬▓╬┐╬╗╬ŁŽé 9:06 The Window Method of FIR Filter Design - ╬ö╬╣╬¼Žü╬║╬Ą╬╣╬▒: 15:47. Convergent: Round to Nearest. In matlab: noise_formula = (1/2^adc_resolution)/sqrt(12) SNR_byQuantizationFormula = 20*log10((2*amp/sqrt(8))/noise_formula) I hope this helps!

Please help to improve this article by introducing more precise citations. (September 2011) (Learn how and when to remove this template message) Signal-to-Quantization-Noise Ratio (SQNR or SNqR) is widely used quality Barry Van Veen 10.595 ŽĆŽü╬┐╬▓╬┐╬╗╬ŁŽé 8:31 Quantization Part 2: Quantization Understanding - ╬ö╬╣╬¼Žü╬║╬Ą╬╣╬▒: 4:08. The probability distribution function (pdf) representing the distribution of values in x {\displaystyle x} and can be denoted as f ( x ) {\displaystyle f(x)} .