Links | Press Releases Contact Us • Subscribe to Newsletters Subscribe to Newsletters Navigation Development Essentials & Education Community Archives About Us Home Development All Articles Configurable Systems Connectivity Debug & asked 3 years ago viewed 4594 times active 3 years ago Blog Stack Overflow Podcast #92 - The Guerilla Guide to Interviewing Get the weekly newsletter! Not as informative as one precise measurement. This two-stage decomposition applies equally well to vector as well as scalar quantizers.

doi:10.1109/TIT.1984.1056920 ^ Toby Berger, "Optimum Quantizers and Permutation Codes", IEEE Transactions on Information Theory, Vol. However, the same concepts actually apply in both use cases. For example: if fs,old = 100 kHz, and fs,new = 400 kHz, the SNRA/D-gain = 10log10(4) = 6.02 dB. Quantization (signal processing) From Wikipedia, the free encyclopedia Jump to: navigation, search The simplest way to quantize a signal is to choose the digital amplitude value closest to the original analog

Browse other questions tagged adc quantization or ask your own question. When the input signal is a full-amplitude sine wave the distribution of the signal is no longer uniform, and the corresponding equation is instead S Q N R ≈ 1.761 + Examples of fields where this limitation applies include electronics (due to electrons), optics (due to photons), biology (due to DNA), physics (due to Planck limits) and chemistry (due to molecules). Solutions that do not require multi-dimensional iterative optimization techniques have been published for only three probability distribution functions: the uniform,[18] exponential,[12] and Laplacian[12] distributions.

From an explanatory standpoint, I was intending to suggest that what may seem like imprecision may actually be a good thing; still, it may be good to mention the term "dithering" Jay Jones, Modern Communication Principles, McGrawâ€“Hill, ISBN 978-0-07-061003-3, 1967 (p. 196). ^ a b c Herbert Gish and John N. Not the answer you're looking for? For the mean-square error distortion criterion, it can be easily shown that the optimal set of reconstruction values { y k ∗ } k = 1 M {\displaystyle \{y_{k}^{*}\}_{k=1}^{M}} is given

For example, a 16-bit ADC has a maximum signal-to-noise ratio of 6.02 Ã— 16 = 96.3dB. Words that are anagrams of themselves How to tell where file is going to be saved? Hwy 30 W Fort Wayne, IN 46818 Get directions Phone Hours 9AM–9PM Monday–Thursday 9AM–8PM Friday 9AM–7PM Saturday (All hours listed are Eastern Time.) Click here for Music Store hours © 2016 Quantization error models[edit] In the typical case, the original signal is much larger than one least significant bit (LSB).

doi:10.1109/TIT.1972.1054906 ^ Toby Berger, "Minimum Entropy Quantizers and Permutation Codes", IEEE Transactions on Information Theory, Vol. Oversampling example: (a) noise PSD at an fs,old samples rate; (b) noise PSD at the higher fs,new samples rate; (c) processing steps. Sullivan, "Efficient Scalar Quantization of Exponential and Laplacian Random Variables", IEEE Transactions on Information Theory, Vol. A typical (mid-tread) uniform quantizer with a quantization step size equal to some value Δ {\displaystyle \Delta } can be expressed as Q ( x ) = Δ ⋅ ⌊ x

In either case, the standard deviation, as a percentage of the full signal range, changes by a factor of 2 for each 1-bit change in the number of quantizer bits. doi:10.1109/MCOM.1977.1089500 ^ Rabbani, Majid; Joshi, Rajan L.; Jones, Paul W. (2009). "Section 1.2.3: Quantization, in Chapter 1: JPEG 2000 Core Coding System (Part 1)". And in some cases it can even cause limit cycles to appear in digital signal processing systems.[14] One way to ensure effective independence of the quantization error from the source signal Quantization noise is a model of quantization error introduced by quantization in the analog-to-digital conversion (ADC) in telecommunication systems and signal processing.

Audio Buildings Electronics Environment Government regulation Human health Images Radio Rooms Ships Sound masking Transportation Video Class of noise Additive white Gaussian noise (AWGN) Atmospheric noise Background noise Brownian noise Burst The noise is non-linear and signal-dependent. For signals whose amplitude is less than the FSR the Signal - to - Noise Ratio will be reduced. For this reason, such a quantizer has sometimes been called an 8-bit quantizer.

pp.22â€“24. Entropy coding techniques can be applied to communicate the quantization indices from a source encoder that performs the classification stage to a decoder that performs the reconstruction stage. I know, its a strange name. adc conversion share|improve this question asked Mar 20 '13 at 10:08 Sam 13314 add a comment| 4 Answers 4 active oldest votes up vote 4 down vote accepted The quantization noise

Gray, "Entropy-Constrained Vector Quantization", IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. If one didn't know how many measurements one were going to take, and no way of knowing whether a given measurement was the first, second, third, etc. doi:10.1109/TIT.2005.846397 ^ Pohlman, Ken C. (1989). IT-51, No. 5, pp. 1739â€“1755, May 2005.

For some applications, having a zero output signal representation or supporting low output entropy may be a necessity. Lloyd, "Least Squares Quantization in PCM", IEEE Transactions on Information Theory, Vol. In general, both ADC processes lose some information. The reduced problem can be stated as follows: given a source X {\displaystyle X} with pdf f ( x ) {\displaystyle f(x)} and the constraint that the quantizer must use only

An analog-to-digital converter is an example of a quantizer. We know the quantization noise power is $v_{qn}^2$, but where is it concentrated or spread in the frequency domain? doi:10.1109/TIT.1984.1056920 ^ Toby Berger, "Optimum Quantizers and Permutation Codes", IEEE Transactions on Information Theory, Vol. Please click the link in the confirmation email to activate your subscription.

Download a .pdf file of the analysis of quantization error and signal to noise ratio current community chat Signal Processing Signal Processing Meta your communities Sign up or log in to In an ideal analog-to-digital converter, where the quantization error is uniformly distributed between âˆ’1/2 LSB and +1/2 LSB, and the signal has a uniform distribution covering all quantization levels, the Signal-to-quantization-noise more stack exchange communities company blog Stack Exchange Inbox Reputation and Badges sign up log in tour help Tour Start here for a quick overview of the site Help Center Detailed