某信道，

输入为M元逻辑符号x：s0、s1、……sM-1

输出y为实数值

信道中发生如下事件：

a=f(x)到实数的一一映射，当x=si时，a=iA，A为一给定的正实数

y=a+n，n为一服从N(0,s2)分布的独立随机变量（与x独立，且每次信道实现时的n均独立）

写出信道转移概率



若输入信道的各符号等概出现，求该信道的互信息量I(X Y)

画出不同信噪比下的互信息量变化的曲线，以M为参数，画一簇曲线（其中加上一条AWGN信道容量曲线作对比）

调整函数a=f(x)，使当x=si时，a=iA-b，b也为一实常数，在A和s不变的情况下，互信息量随b的变化情况是什么趋势？

b的取值对互信息量随信噪比的变化曲线的影响？-A channel,

M-ary input logic symbol x: s0, s1, ...... sM-1

Y is a real value output

Channel, the following events occur:

a = f (x) to the real number one mapping, when x = si time, a = iA, A is a positive real number given to

y = a+ n, n is an obedience N (0, s2) distribution of independent random variables (with x independent, and each channel realization when n independently)

Write channel transition probability



If the input symbols, each channel shall appear, find the channel of mutual information I (X　Y)

Draw mutual information changes under different SNR curve, with M as its argument, draw a cluster of curves (which add a AWGN channel capacity curve for comparison)

Adjustment function a = f (x), so that when x = si time, a = iA-b, b is also a real constant, at A and s the same circumstances, mutual information with the change of b is what trend ?

SNR curve with the impact of b values of mutual information?