Quantization Error Example
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Quantization Of Signals
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Quantization Example
Basics Compute Quantization Error On this page Uniformly Distributed Random Signal Fix: Round Towards Zero. Floor: Round
Signal To Quantization Noise Ratio
Towards Minus Infinity. Ceil: Round Towards Plus Infinity. Round: Round to Nearest. In a Tie, Round to Largest Magnitude. Convergent: Round to Nearest. In a Tie, Round to Even. http://www.sweetwater.com/insync/quantization-error/ Comparison of Nearest vs. Convergent Plot Helper Function Compute Quantization ErrorOpen Script This example shows how to compute and compare the statistics of the signal quantization error when using various rounding methods. First, a random signal is created that spans the range of the quantizer. Next, the signal is quantized, respectively, with rounding methods 'fix', 'floor', 'ceil', https://www.mathworks.com/help/fixedpoint/examples/compute-quantization-error.html 'nearest', and 'convergent', and the statistics of the signal are estimated. 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 the quantization error will be computed with ERRVAR. Uniformly Distributed Random SignalFirst we create a uniformly distributed random signal that spans the domain -1 to 1 of the fixed-point quantizers that we will look at.q = quantizer([8 7]); r = realmax(q); u = r*(2*rand(50000,1) - 1); % Uniformly distributed (-1,1) xi=linspace(-2*eps(q),2*eps(q),256); Fix: Round Towards Zero.Notice that with 'fix' rounding, the probability density function is twice as wide as the others. 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 variance = eps(q)^2 / 3 % Theoretical mean = 0 fidemo.qerrordemoplot(q,f_t,xi,mu_t,v_t,err) Estimated error variance (dB) = -46.8586 Theoretical error variance (dB) = -46.9154 Estimated mean = 7.788e-06 Theor
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