What function to use to quantize a variable

Question

Shawn 2022-2-9

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评论： Shawn 2022-2-10

I think this is a fairly simple problem but not sure what Matlab function to use. I have several variables calculated in normal double precision. They are signed and symetrically bounded between a speficied negative and positive value. I need to "quantize" the variables so that they have a resolution of one part in 64 (6 bit) or one part in 128 (7 bit) resolution between the upper and lower bounds. The output should be a normal double percision variable but "quantized" as described. Not sure what Matlab function(s) or scripts to use.

I do not have any additional tooboxes so need to solve within basic Matlab.

Thanks

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Highphi 2022-2-9

can you give us an example variable and desired output?

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Answer 1

David Hill 2022-2-9

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https://ww2.mathworks.cn/matlabcentral/answers/1646660-what-function-to-use-to-quantize-a-variable#answer_892570

在 MATLAB Online 中打开

Something like this.

x=100*rand(1000,1)-50;
h=linspace(-50,50,129);%for 128 resolution
[~,~,bin]=histcounts(x,h);
q=x(bin);

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Shawn 2022-2-10

Dave,

Thanks. Not exactly what I was looking for but enough to set me on the correct path. The script below solves my problem. In the example, I'm taking a variable that spans a range from -5 t0 5 and quantizing into 64 levels. The behavior around zero is particularly what I wanted.... output is zero around zero.

x=linspace(-5,5,10000); % Create vector for example

q = 10/64; % Set quantization = input range/desired quantization

y = q * round(x/q); % This accomplishes the quantization

scatter(x,y) % Show results. Zoom in to see results

grid on

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