Bilinear signal synthesis
- 1 January 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 40 (2) , 352-363
- https://doi.org/10.1109/78.124945
Abstract
The authors discuss the signal synthesis problem in the general framework of bilinear signal representations (BSRs), thereby obtaining a unified treatment which encompasses, e.g., the Wigner distribution and ambiguity function as special cases. The inclusion of a signal space constraint serves to impart flexibility to the signal synthesis process and to relax mathematical requirements. The characterization of signal spaces either by orthogonal projection operators or by orthonormal bases leads to two different signal synthesis methods. Both methods assume the BSR to be unitary (i.e., satisfy Moyal's formula) on the signal space on which signal synthesis is performed. As an application of the general signal synthesis methods, band-limited signal synthesis in the case of the Wigner distribution is consideredKeywords
This publication has 16 references indexed in Scilit:
- Time-frequency signal synthesis on signal subspacesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Two signal synthesis algorithms for pseudo Wigner distributionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Wigner distribution analysis of linear, time-varying systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- General signal synthesis algorithms for smoothed versions of Wigner distributionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Regularity and unitarity of bilinear time-frequency signal representationsIEEE Transactions on Information Theory, 1992
- Duality and classification of bilinear time-frequency signal representationsIEEE Transactions on Signal Processing, 1991
- Improved signal synthesis from pseudo-Wigner distributionIEEE Transactions on Signal Processing, 1991
- Time-frequency analysis of linear signal spacesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991
- Discrete Wigner synthesisSignal Processing, 1986
- Least-square synthesis of radar ambiguity functionsIEEE Transactions on Information Theory, 1962