This paper addresses the problem of coarse synchronization of ultra wideband (UWB) signals in the dense multipath channel. We propose a very simple search strategy, based on successive constant integer jumps, which practically achieves minimum mean acquisition time (MAT) without using any channel knowledge. There is a parallelism between the popular bit reversal search, which is valid when the size of the uncertainty region for the timing offset is a power of two, and the proposed search, which is valid when it is a term of the Fibonacci sequence. When this number is large, the golden section strategy, which we proposed in a previous paper, can be viewed as a generalization of this strategy. We test the proposed strategy under a model for which there exist known lower bounds for the MAT, showing that it achieves near optimal performance. Finally, we report simulations with a realistic channel model