5. Define semi-random telegraph signal process and random telegraph signal process.
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In probability theory, the telegraph process is a memoryless continuous-time stochastic process that shows two distinct values.
It models burst noise (also called popcorn noise or random telegraph signal).
If the two possible states are called a and b, the process can be described by the following master equations:
{\displaystyle \partial _{t}P(a,t|x,t_{0})=-\lambda P(a,t|x,t_{0})+\mu P(b,t|x,t_{0})}
and
{\displaystyle \partial _{t}P(b,t|x,t_{0})=\lambda P(a,t|x,t_{0})-\mu P(b,t|x,t_{0}).}
It models burst noise (also called popcorn noise or random telegraph signal).
If the two possible states are called a and b, the process can be described by the following master equations:
{\displaystyle \partial _{t}P(a,t|x,t_{0})=-\lambda P(a,t|x,t_{0})+\mu P(b,t|x,t_{0})}
and
{\displaystyle \partial _{t}P(b,t|x,t_{0})=\lambda P(a,t|x,t_{0})-\mu P(b,t|x,t_{0}).}
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