The cyclic prefix is intended to be long enough to encompass most significant multi-path signals. consider one of the lte cp duration of 4.7us. multi-path delays come from signals traveling longer distances that the shortest path signal. if the shortest path between tc and rx is 1km, what is the distance of the longest traveled multi-path signal if the multi-path delay should be much, much less (factor of 10) than the cp duration? assume signals travel at the speed of light

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?