  Broadband wireless channel is a time dispersive and becomes strongly
frequency selective. In most cases, the channel is composed of a few dominant
coefficients and a large part of coefficients is approximately zero or zero. To
exploit the sparsity of multi-path channel (MPC), there are various methods
have been proposed. They are, namely, greedy algorithms, iterative algorithms,
and convex program. The former two algorithms are easy to be implemented but
not stable; on the other hand, the last method is stable but difficult to be
implemented as practical channel estimation problems because of computational
complexity. In this paper, we proposed a novel channel estimation strategy by
using modified smoothed (MSL0) algorithm which combines stable and low
complexity. Computer simulations confirm the effectiveness of the introduced
algorithm comparisons with the existing methods. We also give
