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Optimum gain control for A/D conversion using digitized I/Q data in quadrature sampling

机译:正交采样中使用数字化I / Q数据进行A / D转换的最佳增益控制

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摘要

Calculation of optimum gain for minimum distortion due to A/D (analog-to-digital) conversion requires the estimation of the input signal strength. To use a common AGC (automatic gain control) for both the I/Q (in-phase and quadrature) signals, it is efficient to estimate the input signal strength using the quantized A/D output from both channels. Assuming a Gaussian input, the relationship between sigma of the input of the A/D converter and E( mod x mod + mod y mod ) and E(max( mod x mod , mod y mod )+1/2 min ( mod x mod , mod y mod )) for t quantized I/Q output x and y is derived. Numerical results obtained using the derived expression and the statistical data obtained through simulation show excellent agreement. It is concluded that, because of its simplicity, the cubic equation obtained by fitting the numerical results should be useful.
机译:计算由于A / D(模数)转换而导致的最小失真的最佳增益需要估算输入信号强度。为了对I / Q(同相和正交)信号都使用通用的AGC(自动增益控制),使用两个通道的量化A / D输出来估算输入信号强度是有效的。假设输入为高斯,则A / D转换器输入的sigma与E(mod x mod + mod y mod)和E(max(mod x mod,mod y mod)+1/2 min(mod x对t量化的I / Q输出x和y推导mod,mod y mod)))。使用推导表达式获得的数值结果和通过仿真获得的统计数据显示出极好的一致性。结论是,由于其简单性,通过拟合数值结果获得的三次方程应该是有用的。

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