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JavaScript - signal linear quantizer

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Created by:

starcraf35

754

In this short article, we would like to show how to create simple signal linear quantizer using JavaScript.

Quantization formula:

Where:

Q(y) - output quantized value,
y - input quantized value
Δ - quantization step size

Quantization preview:

Parabola linear quantization in range <-9, +9> using JavaScript.

Practical example:

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const createLinearQuantizer = (step) => {
    return (value) => {
        return step * Math.floor(value / step + 0.5);
    };
};
​
​
// Usage example:
​
const quantizer = createLinearQuantizer(10);  // 10 is quantization step size
​
for (let x = -9; x <= 9; x += 0.3) {
    const y = x * x;         // typical parabola
    const q = quantizer(y);  // quantized parabola
    console.log(`x=${x.toFixed(2)} Q(y)=${q}`);
}