The general design of asymptotic unrestricted polar quantizers with square cells

Perić, Zoran; Dincic, Milan R.; Petković, Marko D.

doi:10.1016/j.dsp.2013.06.001

Cited by 6 publications

(3 citation statements)

References 14 publications

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“…As shown in [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] the approximations for the -function not only facilitate performance analyses of various communication systems, but also provide further mathematical analyses limited by the nonexistence of the closed-form formula for the -function. Recall here that a Gaussian probability density function (PDF) characterizes speech signals, signals in wireless receivers, and OFDM modulated signals [15,16,[21][22][23][24][25][26][27][28], so that the suitable solution to the problem of the -function approximation we observe in this paper is of significance in many application areas. For instance, as shown in [2,3,[10][11][12], the problem of thefunction approximation is of importance in the evaluation of the symbol error probability (SEP) of digital modulations in the presence of additive white Gaussian noise and the average SEP over fading channels.…”

Section: Introductionmentioning

confidence: 99%

Proposal of Simple and Accurate Two-Parametric Approximation for the Q-Function

Nikolić

Perić

Marković

2017

Mathematical Problems in Engineering

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The approximations for the -function reported in the literature so far have mainly been developed to overcome not only the difficulties, but also the limitations, caused in different research areas, by the nonexistence of the closed form expression for the -function. Unlike the previous papers, we propose the novel approximation for the -function not for solving some particular problem. Instead, we analyze this problem in one general manner and we provide one general solution, which has wide applicability. Specifically, in this paper, we set two goals, which are somewhat contrary to each other. The one is the simplicity of the analytical form of -function approximation and the other is the relatively high accuracy of the approximation for a wide range of arguments. Since we propose a two-parametric approximation for the -function, by examining the effect of the parameters choice on the accuracy of the approximation, we manage to determine the most suitable parameters of approximation and to achieve these goals simultaneously. The simplicity of the analytical form of our approximation along with its relatively high accuracy, which is comparable to or even better than that of the previously proposed approximations of similar analytical form complexity, indicates its wide applicability.

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Section: Introductionmentioning

confidence: 99%

Proposal of Simple and Accurate Two-Parametric Approximation for the Q-Function

Nikolić

Perić

Marković

2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…The asymptotic analysis is usually used for the designing of polar quantizers [3][4][5][6][7][8][9][10][11][12][13][14]. Hence, the asymptotic analysis will be applied in this paper.…”

Section: Introductionmentioning

confidence: 99%

“…The solution in [11] is compatible with the ITU-T G.711 standard. Unrestricted polar quantizers with square cells were analyzed in [12], applying µ-law companding function for the quantization of the magnitude r.…”

Section: Introductionmentioning

confidence: 99%