The cross-Wigner distribution as a generator of frames on the Euclidean plane from frames on the real line

摘要

Frames of square-integrable functions on the Euclidean plane are obtained from frames of square-integrable functions on the real line. This is achieved by computing the cross-Wigner distribution between elements of a frame for L-2(R) and elements of the concomitant reciprocal frame. In addition to span L-2(R-2), the functions constructed in this way verify an uncertainty principle, which makes them adequate for the analysis and representation of time-frequency distributions. [References: 21]