Title :
Constructing signals with prescribed properties
Author :
Eldar, Yonina C.
Author_Institution :
Res. Lab. of Electron., Massachusetts Inst. of Technol., Cambridge, MA, USA
fDate :
3/1/2003 12:00:00 AM
Abstract :
This paper introduces a general framework for constructing signals with prescribed properties that can be described as inner products of the signal with a set of vectors, with almost arbitrary construction and constraint spaces. We first derive a procedure for constructing a signal in a given construction space, with prescribed properties in a given constraint space. Building upon these results, we develop a procedure for constructing a signal with prescribed properties in two disjoint constraint spaces.
Keywords :
sequences; signal sampling; signal synthesis; consistent sampling; disjoint constraint spaces; geometric interpretation; inner products; local averages; lowpass coefficients; signal construction; time-limited sequence; Buildings; Collaborative work; Hilbert space; Instruments; Sampling methods; Subcontracting; Subspace constraints;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2002.807870
