Title :
On the numerical robustness of the parallel projection method in signal synthesis
Author :
Combettes, Patrick L.
Author_Institution :
Lab. d´´Anal. Numerique, Univ. Pierre et Marie Curie, Paris, France
Abstract :
The parallel projection method (PPM) uses successive averages of projections onto constraint sets to construct a signal that least violates these constraints in an average squared-distance sense. In this paper, we study the robustness of PPM to errors in the computation of the projections. It is shown that the convergence properties of PPM remain valid under a simple summability condition on the relaxed averages of the errors.
Keywords :
constraint theory; convergence of numerical methods; error analysis; signal synthesis; average squared-distance sense; constraint sets; convergence properties; numerical errors; numerical robustness; parallel projection method; signal synthesis; successive averages of projections; summability condition; Cities and towns; Convergence of numerical methods; Error analysis; Hilbert space; Iterative algorithms; Parallel processing; Robustness; Signal design; Signal processing algorithms; Signal synthesis;
Journal_Title :
Signal Processing Letters, IEEE
