We present a model for analyzing the performance of handoff algorithms
based on signal strength measurements made by mobile stations in a lo
gnormal fading environment. This model enables us to evaluate the effe
ct of averaging and hysteresis on the handoff process. Handoffs are re
lated to level crossings of the difference between the received signal
strengths from two base stations. The algorithm performance is derive
d by modeling the level crossings as Poisson processes with time-varyi
ng rate functions. The model is seen to yield results that agree with
simulations over the range of algorithm parameters of practical intere
st. These results can be used to determine the averaging interval and
hysteresis level that achieve the optimum tradeoff between the number
of unnecessary handoffs and the delay in handing off.