数模转器指标在线一键计算生成工具计算器

数模转换器（DAC）指标计算

DAC（Digital-to-Analog Converter）将数字信号转换为模拟电压或电流。以下为DAC关键性能指标的计算公式。

一、分辨率与LSB

对于 $N$ 位DAC，分辨率为 $2^N$ 个离散电平。文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html

最低有效位（LSB）电压：文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html

$V_{LSB} = \dfrac{V_{ref}}{2^N}$文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html

其中 $V_{ref}$ 为参考电压，$N$ 为位数。文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html

二、输出模拟电压

$V_{out} = \dfrac{D}{2^N} \times V_{ref}$文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html

$D$ 为输入数字码（$0 \sim 2^N-1$）。文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html

三、DNL与INL

微分非线性：$DNL_k = \dfrac{V_{k+1} - V_k - V_{LSB}}{V_{LSB}}$文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html

积分非线性：$INL_k = \sum_{i=1}^{k} DNL_i$文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html

四、信噪比（理想N位DAC）

$SNR = 6.02N + 1.76 \text{ dB}$文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html

五、建立时间

输出从初始值到达并保持在最终值±0.5 LSB误差范围内所需的时间。通常用 $RC$ 时间常数估算：$t_s \approx N\tau\ln 2$。文章源自公式库网-https://www.gongshiku.com/html/201910/shumozhuanqizhibiaozaixianyijianjisuanshengchenggongjujisuanqi.html