Step-up DC-DC converter

LT1110 based design.  
4 to 6 volt input
8 volt output

Design equations are from the datasheet.

Vout setting (resistor selection)

use 348K + 5.61K in series

Then linear regulate back to 5V.
The linear regulation reduces the switching ripple to a level that is within the receiver's specification.

Inductor selection

Power required from inductor:

Inductor energy

Current in inductor

Energy in inductor

which is more than the 1.6 uJ required, so this is an OK selection