An efficient interference alignment (IA) scheme is developed for $K$-user
single-input single-output frequency selective fading interference channels.
The main idea is to steer the transmit beamforming matrices such that at each
receiver the subspace dimensions occupied by interference-free desired streams
are asymptotically the same as those occupied by all interferences. Our
proposed scheme achieves a higher multiplexing gain at any given number of
channel realizations in comparison with the original IA scheme, which is known
to achieve the optimal multiplexing gain asymptotically.