Recent Advances in TimeFrequency Representations: Some Theoretical FoundationsThis research was supported in part by grants from the Rackham School of Graduate Studies, the Office of Naval Research, ONR contract no. N0001489J1723, the National Science Foundation, NSF Grant BCS 9110571, and a Biomedical Research Support Grant from the Office of Vice President for Research through the National Institutes of Health.

This chapter contains sections titled:

• Introduction

• The Reduced Interference Distribution

• Additional Distributions with Designed or Adaptive Kernels

• Noise Considerations

• Discrete Formulations and Fast Algorithms

• Time-Varying Filtering and Synthesis

• Analysis Window Comparisons: Wavelets and Cohen's Class

• Conclusions

This chapter contains sections titled:

• Acknowledgments

• References