Questions tagged [quantization]

Quantization, in mathematics and digital signal processing, is the process of mapping input values from a large set (often a continuous set) to output values in a (countable) smaller set, often with a finite number of elements. Rounding and truncation are typical examples of quantization processes.

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What is "hard quantization" strategy?

I am working on classification and several times I encountered with this term. What is hard quantization strategy? What does it differ from soft approach?
David
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Design a quantization scheme around a desired quantization noise distribution

I have a - perhaps naive - question regarding the quantization noise/error. Assuming the goal is not the performance of the quantizer but rather being able to model the quantization noise exactly - say, Gaussian with certain mean and variance - are…
Bahar Az
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Quantization step-size for a given signal based on its PDF

I am familiar with the principles of midtread and midrise quantizer. However, I have difficulties determining the step size where it hasn't been explicitly given. For example, the following probability distribution of the input signal s(t) is given.…
Niousha
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What is the no overload region of a quantizer?

I was watching a video on quantization noise and the instructor kept referring to the "no overload" region of a quantizer? Could anyone please explain what that term means?
Schimay
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Novice question about mid-rise quantization

Accoarding to wikipage, the function for quantization has the ceiling of x/Ds. Is this the ceiling of something multiplied by Ds?
XristosK
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Filter output quantization - does this limit effective coefficient quantization?

I am implementing a filter in hardware, and the intended maximum data input is 16-bit. The question is, if the output is to be re-quantized to 16-bit, does this mean certain coefficients are effectively 'useless' - as outlined here: The filter is a…
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How does quantization do to tell the difference between one sampling point and one other?

The signal quantization consists in assigning to the different values of the sampled signal a value among the range of the $2^p$ values allowed by the $p$ bits used. As the different values of the sampled signal can be represented by coordinates…
niobium
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Unclear point about quantization

Quantization of Continuous-Amplitude Signals This point is not clear to me: "The smallest quantization levels ($\pm\Delta$) correspond to the least significant bit of the binary code word." Could someone explain it please?
DSPinfinity
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Correct way to quantize accelerometer data with microsecond precision?

I am analyzing large volumes of raw accelerometer data (~12 hours @ 200Hz) using Python. Some calculations (e.g. deriving Jerk) necessitate a time index with a regular interval. I have microsecond-precision time associated with my data but I can see…
bloudermilk
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Is there any literature discussing PDF after quantization?

Consider a random variable with a known distribution. I want to know if we quantized the variable the how the probability density function(PDF) would change? Specifically if the original PDF is Rayleigh distributed what would be the distribution…
Creator
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How does delta modulation work practically?

How does delta modulation work in practice? And where is it used? I find it confusing that, in 1-bit quantization we use only 2 level; if we apply this quantization, there will be loss in information. So, why do we use this technique?