Mean And Variance Of Quantization Error
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Search All Support Resources Support Documentation MathWorks Search MathWorks.com MathWorks Documentation Support Documentation Toggle navigation Trial quantization error definition Software Product Updates Documentation Home Fixed-Point Designer Examples Functions and quantization error formula Other Reference Release Notes PDF Documentation Fixed-Point Design for MATLAB Code Algorithm Conversion Manual Conversion quantization example Compute Quantization Error On this page Uniformly Distributed Random Signal Fix: Round Towards Zero. Floor: Round Towards Minus Infinity. Ceil: Round Towards Plus Infinity. Round:
Quantization Level
Round to Nearest. In a Tie, Round to Largest Magnitude. Convergent: Round to Nearest. In a Tie, Round to Even. 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 quantization step size formula 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', '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 th
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How To Reduce Quantization Error
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Quantization Error Example
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