Chapter 5, Problem 5.18P

1. You are to design a 9-volt battery operated baseband PAM communication system that must last great than 10 years without replacing the batteries. The application requires a BER of <10^-4 and a data rate of 200bps. The channel can be modeled as AWGN with a noise power spectral density of 10^-9 W/Hz and a channel loss of 10 dB. (a) Estimate the required capacity of the batteries. (The battery life (hours) is equal to the battery volts times of the battery capacity (Amps* hours) divided by the total load (Watts)) and (b) Can you easily find this battery? If not, what would you suggest be done?

3. You are on a design team tasked to design a system of remote sensors that use PAM. Here is what the team knows/assumptions: The remote sensor will use a single AA battery required to power the sensors. The system has a bandwidth of 2KHz and requires a data rate of 12 Kbps and a BER of less than 1*10^-4. The typical channel has maximum losses of 35 dB and a noise power spectral density is 10^-9 W/Hz. Your boss assigns you with the task of estimating how long the battery will last.