  This letter proposes a novel distributed compressed estimation scheme for
sparse signals and systems based on compressive sensing techniques. The
proposed scheme consists of compression and decompression modules inspired by
compressive sensing to perform distributed compressed estimation. A design
procedure is also presented and an algorithm is developed to optimize
measurement matrices, which can further improve the performance of the proposed
distributed compressed estimation scheme. Simulations for a wireless sensor
network illustrate the advantages of the proposed scheme and algorithm in terms
of convergence rate and mean square error performance.
