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量化噪声

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以无限大取样率进行两位元 ADC 的量化杂讯。上图蓝色信号和红色信号之差即为量化杂讯;其会“加入”至量化后的信号并成为杂讯(误差)来源

量化杂讯是衡量模数转换效果的参数。量化前的信号经量化后被量化后的信号所代替,这个过程必然要产生量化误差,因此,设输入信号与输出信号之间的差值为

它的作用如同杂讯一样,将其定义为量化杂讯,因此模拟信号通过量化器可以理解为x通过了一个加性杂讯波道,输出为。对于加性杂讯波道,我们习惯于用杂讯功率及信噪比来进行描述。因此,我们引入量化杂讯功率的概念,用来表示:

它实际上就是均方差。而概率密度函数

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量化噪声
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