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.
133
questions
0
votes
1
answer
34
views
Calculation of Compression Ratio after DCT
I am seeking information about the compression ratios achieved at each stage of DCT-based compression processes. Specifically, I'm interested in understanding the compression ratio immediately after ...
- 41
0
votes
0
answers
45
views
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 ...
- 101
-1
votes
0
answers
56
views
Relation between harmonics and quantization [closed]
I'd like to make digital samples that construct sine waves.
It's nothing but direct digital synthesis (DDS) before the digital-to-analog converter and filter.
I want to make a sinewave sample that ...
- 19
0
votes
3
answers
87
views
Output spectrum of the direct digital synthesis (DDS)
I have a question about the output spectrum of DDS, which consists of a phase accumulator and look-up table.
Since the look-up table stores accurate information about sinusoidal waveform, I think ...
- 19
2
votes
2
answers
105
views
What exactly is transmitted in the channel in lossy compression?
Consider the problem of lossily compressing a memoryless binary source $X
\sim \operatorname{Bernoulli}\left(\frac{1}{2}\right)$ at target Hamming distortion $D < \frac{1}{2}$. According to the ...
- 125
0
votes
0
answers
66
views
Filter away INT_MIN when doing DSP since -INT_MIN is undefined(?)
My problem is that I have a mic that delivers 24 bits 2's complement signed. There is nothing in that data sheet that hints at it not also delivering INT_MIN. The 8 ...
- 79
4
votes
0
answers
96
views
Distortion-Rate function for standard Gaussian signals quantized with a uniform alphabet
Let's say $X \sim N(0, 1)$ is a standard Gaussian input signal and $Y \sim U\{y_1, y_2, \cdots, y_{16}\}$ follows a discrete uniform distribution (in fact, $\{y_1, y_2, \cdots, y_{16}\}$ is a ...
- 125
0
votes
1
answer
90
views
delta modulation
I need to implement some sort of simple delta modulation for my homework.
The test signal is $x(t)=10\sin(20\pi t)+\cos(100\pi t)$, sampled at $f_s=40f_{\tt{max}}$
Block scheme of delta modulator is ...
- 15
0
votes
2
answers
232
views
ADC response inversion to Gaussian noise
Assuming the input to an ADC is a Gaussian white noise signal, and being a bit idealistic in all senses, is there a theoretical expression that links input power to output power which can be inverted, ...
- 35
2
votes
1
answer
129
views
Correlated Quantization Noise
Normally, when we are dealing with quantization noise, we assume quantization noise as uncorrelated, which is white.
In this case, we assume SNR = 6.02N + 1.76 where N = resolution
However, if ...
- 19
0
votes
0
answers
43
views
How to design an optimal LLR Quantization of LLR for LDPC Decoding under AWGN channel using BPSK(Known quantization boundaries)?
Recently I met an optimazition problem, i.e., finding an optimal quantizer which maps floating point LLRs to integers of range $-11,\ldots +11$, where the quantizer boundaries have been calculated out....
- 141
0
votes
0
answers
42
views
Cross-quantilogram method
What is this method in general?
What is the main difference between the quantile cross-spectrum (QS) approach developed by Baruník and Kley (2019) and the cross-correlation function (QS) developed by ...
- 1
0
votes
0
answers
23
views
Approximating variable-length coding by "aggregating" fixed-length coding
Consider the problem where I want to quantize a univariate standard Gaussian with two bits, and the objective is to minimize MSE reconstruction loss. According to these slides, the Lloyd algorithm and ...
- 125
4
votes
3
answers
696
views
Difference between ADC dynamic range and voltage resolution?
Say I have a 10-bit SAR ADC with a $5 \ \text{V}$ reference. I calculate its resolution to be
$$\Delta V_\text{lsb} = \frac{5 \ \text{V}}{2^{10}} = 4.88 \ \text{mV} \approx 5 \ \text{mV}. $$
So for a $...
- 416
0
votes
1
answer
137
views
AWGN model of Quantization Noise
[Edit answer moved from OP edit to "Answers" as per comment suggestion]
I'm trying to create a simple model of a signal chain (image sensor) that includes an ADC but I'm failing to observe ...
- 51