State space approach to envelope-constrained filter design

The envelope constrained filtering problem is concerned with designing a time-invariant filter to process a given input pulse such that the noiseless output of the filter is guaranteed to lie within a specified output mask while minimizing the noise gain of the filter. An efficient algorithm is developed to solve this problem using the state space approach. Simulation results demonstrate that the proposed algorithm may have important advantages over existing techniques with respect to the maximum filter length possible, speed and stability of convergence.