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THE MATHEMATICAL DESCRIPTION OF THE FUNCTIONAL TRANSFORMATIONS OF A SIGNAL WITH ANGULAR MODULATION IN SEQUENTIALLY THE CONNECTED QUANTIZERS OF A PHASE AND TENSION
МАТЕМАТИЧЕСКОЕ ОПИСАНИЕ ФУНКЦИОНАЛЬНЫХ ПРЕОБРАЗОВАНИЙ СИГНАЛА С УГЛОВОЙ МОДУЛЯЦИЕЙ В ПОСЛЕДОВАТЕЛЬНО СОЕДИНЕННЫХ КВАНТОВАТЕЛЯХ ФАЗЫ И НАПРЯЖЕНИЯ

D. S. Viktorov, E. V. Plastinina
2018 Spacecrafts & Technologies  
The functional dependences describing transformations of signals with angular modulation in sequentially the connected quantizers of a phase and tension with use of a method of display of signals and a  ...  Дискретизированный и квантованный гармонический сигнал можно описать выражением A SIGNAL WITH ANGULAR MODULATION IN SEQUENTIALLY THE CONNECTED QUANTIZERS OF A PHASE AND TENSION D. S. Viktorov, E.  ... 
doi:10.26732/2618-7957-2018-1-38-46 fatcat:5b54lk7a2jartpptihf5e5kpea

Quantization Effect on the Log-Likelihood Ratio and Its Application to Decentralized Sequential Detection

Yan Wang, Yajun Mei
2013 IEEE Transactions on Signal Processing  
The result is then applied to decentralized sequential detection problems not only to provide simpler sufficient conditions for asymptotic optimality theories in the simplest models, but also to shed new  ...  In this paper, we investigate the quantization effects on the second moment of the log-likelihood ratio.  ...  allowable quantization functions 's.  ... 
doi:10.1109/tsp.2012.2237170 fatcat:az2asy6gyjfnbnzdgqpsgo6jcm

On optimal quantization rules for sequential decision problems

Xuanlong Nguyen, Martin Wainwright, Michael Jordan
2006 2006 IEEE International Symposium on Information Theory  
We consider the problem of sequential decentralized detection, a problem that entails the choice of a stopping rule (specifying the sample size), a global decision function (a choice between two competing  ...  The main result of this paper is to resolve an open problem posed by Veeravalli et al. [12] concerning whether optimal local decision functions for the Bayesian formulation of sequential decentralized  ...  Let J A , J B and J C denote the optimal cost function for sequential tests using all A's, all B's, and all C's, respectively.  ... 
doi:10.1109/isit.2006.262134 dblp:conf/isit/NguyenWJ06 fatcat:m4hlg5qnurc7roywz7q3pzoqru

On Optimal Quantization Rules for Some Problems in Sequential Decentralized Detection

XuanLong Nguyen, Martin J. Wainwright, Michael I. Jordan
2008 IEEE Transactions on Information Theory  
This paper addresses an open problem of whether in the Bayesian formulation of sequential decentralized detection, optimal local decision functions can be found within the class of stationary rules.  ...  function (a choice between two competing hypotheses), and a set of quantization rules (the local decisions on the basis of which the global decision is made).  ...  Let JA; JB and JC denote the optimal cost function for sequential tests using all A's, all B's, and all C's, respectively.  ... 
doi:10.1109/tit.2008.924647 fatcat:7h43aqnrvrfzzoqtyva7itgqle

On Optimal Quantization in Sequential Detection [article]

Michael Fauß and Manuel S. Stein and H. Vincent Poor
2021 arXiv   pre-print
The problem of designing optimal quantization rules for sequential detectors is investigated.  ...  Using this approach, the optimal sequential detector and the corresponding quantizer are characterized and their properties are briefly discussed.  ...  Optimal and asymptotically optimal quantization levels as functions of the log-likelihood ratio for a sequential test for a shift in variance (35) at an SNR of 0 dB.  ... 
arXiv:2107.13412v1 fatcat:6jp5dta6z5gmtcctsc7rploiya

Distributed Structures, Sequential Optimization, and Quantization for Detection

M.A. Lexa, D.H. Johnson
2008 IEEE Transactions on Signal Processing  
Structural constraints are inherent properties of any distributed quantization system and are normally summarized by functional relationships defining the inputs and outputs of their component quantizers  ...  We then develop a sequential optimization scheme that maximizes the Kullback-Leibler divergence, takes advantage of statistical dependencies in the distributed system's output variables and leads to simple  ...  Let p X and p Y denote the joint probability density function and the joint probability mass function of X and Y, respectively.  ... 
doi:10.1109/tsp.2007.908947 fatcat:hwkrfgqfuvesdgombtz36sgrza

High-resolution floating-point ADC

V.Z. Groza
2001 IEEE Transactions on Instrumentation and Measurement  
This report discusses sequential FP-ADC, and its key circuitry, achievable performance, conversion time and sensitivities to mismatches.  ...  FP-ADCs employ a non-uniform quantization and typically dissipate less power and require less hardware than comparable uniform quantizers for a given dynamic range and resolution.  ...  of this quantization function (for m=4 and E=2) is given in Fig. 3 , along with the correspondent exponent function e = f (x) and the quantization function of the employed uniform quantizer (b=4).  ... 
doi:10.1109/19.982987 fatcat:zmjl7lyqgzezbjjhzrdyxxp3eq

Quantization Noise Shaping on Arbitrary Frame Expansions

Petros T. Boufounos, Alan V. Oppenheim
2006 EURASIP Journal on Advances in Signal Processing  
This paper considers quantization noise shaping for arbitrary finite frame expansions based on generalizing the view of first-order classical oversampled noise shaping as a compensation of the quantization  ...  Quantization noise shaping is commonly used in oversampled A/D and D/A converters with uniform sampling.  ...  A sequential quantizer with this optimal ordering meets the lower bound for the cost under both cost functions we propose.  ... 
doi:10.1155/asp/2006/53807 fatcat:miioduc7uffexfovpugogvfd3i

Asymptotic Optimality Theory for Decentralized Sequential Multihypothesis Testing Problems

Yan Wang, Yajun Mei
2011 IEEE Transactions on Information Theory  
The Bayesian formulation of sequentially testing M > 3 hypotheses is studied in the context of a decentralized sensor network system.  ...  It is shown that the optimal local quantizer at each local sensor in the second stage can be defined as a maximin quantizer which turns out to be a randomization of at most M-1 unambiguous likelihood quantizers  ...  ., the function in (1) is a quantizer.  ... 
doi:10.1109/tit.2011.2165808 fatcat:qqza5yckkzg5li74we7vs4ch3u

Decentralized Two-Sided Sequential Tests for A Normal Mean [article]

Yan Wang, Yajun Mei
2009 arXiv   pre-print
We propose a decentralized sequential test using the idea of tandem quantizers (or equivalently, a one-shot feedback).  ...  decentralized invariant sequential test.  ...  a decision function d ∈ {0, 1}.  ... 
arXiv:0901.1266v1 fatcat:r3x5yfruxbgbxkrvglabwi2unq

A Multistage Procedure for Decentralized Sequential Multi-Hypothesis Testing Problems

Yan Wang, Yajun Mei
2012 Sequential Analysis  
quantizers.  ...  We studied the problem of sequentially testing M ≥ 2 hypotheses with a decentralized sensor network system.  ...  Here the sensor message function k n is also called a quantizer, and can be deterministic or randomized.  ... 
doi:10.1080/07474946.2012.719439 fatcat:6dcz26zsoncszcgo3bbp2p3r5m

Use of interpolating functions in fast state estimation for dynamic systems with missing observations

Kerİim Demİirbaş
1990 Journal of the Franklin Institute  
To overcome this obstacle, in this paper a stack sequential decoding algorithm (12) (13) (14) is used to choose a path so that the quantization levels along this path become the estimates of the state  ...  Then the states are estimated by using a stack sequential decoding algorithm.  ... 
doi:10.1016/0016-0032(90)90012-8 fatcat:5a7cbu2535bphdcjb7u42a342q

Analysis-by-Synthesis Quantization for Compressed Sensing Measurements

Amirpasha Shirazinia, Saikat Chatterjee, Mikael Skoglund
2013 IEEE Transactions on Signal Processing  
Through simulations, we compare the performance of the proposed quantization algorithms vis-a-vis existing quantization schemes.  ...  consider a resource-limited scenario where a sensor that uses compressed sensing (CS) collects a low number of measurements in order to observe a sparse signal, and the measurements are subsequently quantized  ...  In Figure 7 , the performance (in terms of NMSE) as a function of quantization bit-rate r x is illustrated for the sequential AbS quantizer as well as LASSO-optimized quantizer and uniform quantizer  ... 
doi:10.1109/tsp.2013.2280445 fatcat:puvyhuaeb5dfhlono5q3crctqa

Sequential scalar quantization of vectors: an analysis

R. Balasubramanian, C.A. Bouman, J.P. Allebach
1995 IEEE Transactions on Image Processing  
We propose an efficient vector quantization (VQ) technique which we call sequential scalar quantization (SSQ).  ...  The scalar components of the vector are individually quantized in a sequence, with the quantization of each component utilizing conditional information from the quantization of previous components.  ...  Fig. 7 7 Comparison of MSE performance of independent scalar quantization (ISQ), sequential scalar quantization (SSQ), and binary splitting (BSP) relative to the Linde-Buzo-Gray (LBG ) quantizer as a function  ... 
doi:10.1109/83.413172 pmid:18292024 fatcat:7f54abmzbncotb5g5oo2b6rrwu

Bandwidth Management in Distributed Sequential Detection

Q. Cheng, P.K. Varshney, K.G. Mehrotra, C.K. Mohan
2005 IEEE Transactions on Information Theory  
Under symmetry and conditional independence assumptions, the algorithm can be simplified substantially: the cooperative quantizer design algorithm reduces to independent quantizer design.  ...  The problem of distributed sequential detection in the presence of communication constraints is considered.  ...  Fig. 2 . 2 ASN as a function of of various quantization schemes and quantizer design methods for Example 1.  ... 
doi:10.1109/tit.2005.851716 fatcat:pfnvtxs67jb6rf4zq4mowkandm
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