Estimation of single-to-noise ratio by processing measured...

Details Estimation of single-to-noise ratio by processing measured... Estimation of single-to-noise ratio by processing measured...

2008-07-08

2008-07-08

Fan, Chieh M. (Department: 2611)

Pulse or digital communications

Receivers

Particular pulse demodulator or detector

C375S341000, C375S346000, C375S227000

Reexamination Certificate

active

07397871

ABSTRACT:
The signal-to-noise ratio of a demodulated received signal is estimated by measuring the error vector magnitude (EVM) of the demodulated signal; and processing the measured EVM in combination with a correction term to estimate the signal-to-noise ratio of the demodulated signal. The correction term is a polynomial function of the measured EVM. The signal-to-noise ratio is estimated in accordance with the formula:ESN0≅10·LOG10⁡(π·⌈ES⌉4⁡[μ^z+C⁡(μ^z)]2)⁢⁢(dB)wherein {circumflex over (μ)}zis the measured EVM based on the mean of a Rayleigh density of EVM measurements; and C is the correction term.For QPSK modulated signals, C is calculated in accordance with the formula:in-line-formulae description="In-line Formulae" end="lead"?CQPSK({circumflex over (μ)}z)≅2.71×10−3{circumflex over (μ)}z3−7.54×10−2{circumflex over (μ)}z2+0.7{circumflex over (μ)}z−2.25.in-line-formulae description="In-line Formulae" end="tail"?For BPSK modulated signals, C is calculated in accordance with the formula:in-line-formulae description="In-line Formulae" end="lead"?CBPSK({circumflex over (μ)}z)≅1.78×10−4{circumflex over (μ)}z3−1.03×10−3{circumflex over (μ)}z2+4.62×10−2{circumflex over (μ)}z−0.588.in-line-formulae description="In-line Formulae" end="tail"?

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