Consider an NRZ$-$I $($mid$-$bit transition$)$ rectangular pulsed baseband

transmission system, which is transmitting the following bits:

$100110111011($Assume that the MSB is the first transmitted bit$).$ The

data rate is R and the voltage levels are $+-$V

a$.(5$ points$)$ Sketch the transmitted waveform. Assume the signal

before the first transmitted bit is at $-$V $.$ Let's call this waveform

x$($t$).$ Show all bit times and transition times.

b$.(5$ points$)$ Calculate the observed baud rate for this transmission

c$.$ Let's design a receiver system for this transmission assuming a

noise$-$less reception. The block diagram for this receiver is

shown below in Figure $1$

Figure $1$: NRZ$-$I receiver system

i$.(2$ points$)$ Mathematically describe the operation $\text{'}$ A $\text{'}$ in

the time domain

ii$.(3$ points$)$ Sketch y$($t$).$ Show all time intercepts and

amplitude values.