Part $($a$)$: $16-$PPM Scheme for $1-$Mbps IEEE $802\mathrm{.}11$ Infrared Standard

A $16-$PPM $($Pulse Position Modulation$)$ scheme is used for the $1-$Mbps IEEE $802\mathrm{.}11$ infrared standard. In this scheme:

Each group of $4$ data bits is mapped into one of the $16-$PPM symbols.

Each symbol is a string of $16$ bits: fifteen $0$s and one $1.$

The position of the binary $1$ in the string encodes a value from $0$ to $15.$

Answer the following questions:

What is the period of transmission $($time between bits$)?$

What is the average time between pulses $(1$ values$)$ and the corresponding average rate of pulse transmission?

What is the minimum time between adjacent pulses?

What is the maximum time between pulses?

Part $($b$)$: $4-$PPM Scheme for $2-$Mbps Infrared Standard

A $4-$PPM $($Pulse Position Modulation$)$ scheme is used for the $2-$Mbps infrared standard. In this scheme:

Each group of $2$ data bits is mapped into one of four $4-$bit sequences.

Each $4-$bit sequence has one $1$ and three $0$s$.$

Answer the following questions:

What is the period of transmission $($time between bits$)?$

What is the average time between pulses $(1$ values$)$ and the corresponding average rate of pulse transmission?

What is the minimum time between adjacent pulses?

What is the maximum time between pulses?