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## Quantization Error Matlab Code

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This is about **the power of the quantization** noise for a 16-bit ADC! I have tried to implement your quantizer but it is not working correctly with my code (some problem is with my understanding). By using this site, you agree to the Terms of Use and Privacy Policy. Barry Van Veen 13.826 προβολές 13:12 QUANTIZER - Διάρκεια: 9:06. http://caribtechsxm.com/quantization-error/quantization-error-using-matlab.php

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 = My take: As detailed in the previous problem (4.36 in DSP-Proakis [1]), due to imperfections in practical generation of sinusoidals, apart from the power at the desired frequency, there will be 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. Based on your location, we recommend that you select: . https://www.mathworks.com/help/fixedpoint/ug/compute-quantization-error.html

The time now is 01:44. Moreover, if you have a non-linear system, you should also skip the bins containing harmonic power (unless you are interested in SNDR). 2 members found this post helpful. 3rd September 2010,10:27 Offs......, it seems to be difficult work for me.

- My simulation code is attached here with.
- The rms power of a full-scale sinewave is: Psignal_rms=VREF/(2*sqrt(2)).
- 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 =
- Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply.
- Kindly have a look and do let me know if you can get some time. %* close all;% closing all the open figures clear all;% clearing all previous variables % =

mx = max(abs(x)); mx is defined because in order to use floor we need to scale the x. When you calculate the noise **power, you will** need to skip a few bins near the 0 frequency as well since that is also spread... References: [1] Digital Signal Processing - Principles, Algorithms and Applications, John G. Quantization Error Formula Powered by vBulletinCopyright 2016 vBulletin Solutions, Inc.

If I use a standard formula for quantization noise power (Q^2 / 12), the SNR corresponds with the theoretical formula of SNR (SNR = 6.02*NoOfBits + 1.76) but when I try Plot Quantization Error Matlab Can you please recommend me some book or some good references so that I can learn the fundamental concepts for these? United States Patents Trademarks Privacy Policy Preventing Piracy © 1994-2016 The MathWorks, Inc. http://www.mathworks.nl/help/fixedpoint/examples/compute-quantization-error.html You can also select a location from the following list: Americas Canada (English) United States (English) Europe Belgium (English) Denmark (English) Deutschland (Deutsch) España (Español) Finland (English) France (Français) Ireland (English)

I think it will be better if you can send me your recommended changes in a Matlab file so that I can see the difference between your and mine code. Matlab Quantizer The error due to quantization is . The error will increase to 0.0012. 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

It is the most common rounding mode of DSP processors because it requires no hardware to implement. pop over to these guys For example, if we consider a new sinusoidal z with , which is of very low frequency when compared to x, y and simulate the SQNR, we can find that the Quantization Error Matlab Code For N {\displaystyle N} quantization steps, each sample, x {\displaystyle x} requires ν = log 2 N {\displaystyle \nu =\log _{2}N} bits. Quantization Error Using Matlab 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 =

Web browsers do not support MATLAB commands. http://caribtechsxm.com/quantization-error/quantization-error-noise-power.php If you run my code, I hope you will note that my quantizer is working well. Moreover, signal_value = ((sum((abs(fft_signal(Nw:Nw+2))).^2))/3) Why are you dividing the signal power by 3? Yeh, now I have fixed almost all my bugs by comparing with your code. Matlab Code For Quantization Of Sine Wave

This can explain the facts that the simulated SQNR values, are different from the theoretical values by around 0.5dB, 1.5dB for SQNR_ydB and SQNR_xdB respectively. b = 8; z= sin(2*pi*[0:1/10000:1]); zq = round(z*2^(b-1))/2^(b-1); ez = z-zq; SQNR_zdB = 10*log10((z*z')/(ez*ez')) hist(ez); % can see the uniformly distributed error figure plot(sort(ez)); % can see a nice sawtooth waveform nptelhrd 139.789 προβολές 51:43 14-Year-Old Prodigy Programmer Dreams In Code - Διάρκεια: 8:42. http://caribtechsxm.com/quantization-error/quantization-error-matlab-example.php of convergent isf(err) = 1/eps(q), for -eps(q)/2 <= err <= eps(q)/2, and 0 otherwise while the error p.d.f.

I have considered the noise spectrum starting from 2nd bin to input bandwidth. Quantization Error Definition 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 Cooking inside a hotel room Is it a Good UX to keep both star and smiley rating system as filters?

Madhan Mohan 27.677 προβολές 4:03 Lecture - 2 Sampling - Διάρκεια: 53:17. The maximum magnitude value of any x {\displaystyle x} is denoted by x m a x {\displaystyle x_{max}} . In a Tie, Round to Even. Quantization In Matlab Code Discover...

Good luck. –Rashid Dec 1 '14 at 19:02 that helps alot, thanks. –connor991 Dec 1 '14 at 19:10 add a comment| Your Answer draft saved draft discarded Sign The theoretical probability density function of the quantization error will be computed with ERRPDF, the theoretical mean of the quantization error will be computed with ERRMEAN, and the theoretical variance of Generated Tue, 25 Oct 2016 00:44:51 GMT by s_wx1206 (squid/3.5.20) click site Round: Round to Nearest.

Using your notation, the noise formula is incorrect: the rms quantization error is Pnoise_rms=VLSB/sqrt(12), where VLSB is VREF/2^N, VREF=1, in your case. b = 8;x = sin(2*pi*[0:1/50:1]); xq = round(x*2^(b-1))/2^(b-1); ex = x-xq; SQNR_xdB = 10*log10((x*x')/(ex*ex')) y = sin(2*pi*[0:1/100:1]); yq = round(y*2^(b-1))/2^(b-1); ey = y-yq; SQNR_ydB = 10*log10((y*y')/(ey*ey')) For this example, as the GATE ACHIEVERS 1.616 προβολές 9:06 The Window Method of FIR Filter Design - Διάρκεια: 15:47. The theoretical probability density function of the quantization error will be computed with ERRPDF, the theoretical mean of the quantization error will be computed with ERRMEAN, and the theoretical variance of

Proakis, Dimitris G. Convergent: Round to Nearest. Ceil: Round Towards Plus Infinity. 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

What is the difference between TeX and Texinfo? Benelux Patents Trademarks Privacy Policy Preventing Piracy © 1994-2016 The MathWorks, Inc. The SNR is than calculated as 20*log10(Psignal_rms/Pnoise_rms). Privacy policy About Wikipedia Disclaimers Contact Wikipedia Developers Cookie statement Mobile view Resend activation?

The quantizer is not correct, a simpler way to implement it is using the floor function: Code: quantize_signal=floor((no_quantiz_levels-1)*signal)+no_quantiz_levels/2 This will generate a quantized signal between [0 255]. Join the conversation Toggle Main Navigation Log In Products Solutions Academia Support Community Events Contact Us How To Buy Contact Us How To Buy Log In Products Solutions Academia Support