Uncertainty principle for gabor transform on the Cayley Heisenberg group

Key Points

• The uncertainty principle shows a relationship between time and frequency localization in the Gabor transform.
• Key evidence indicates that the principle imposes limits on simultaneous precision in time and frequency dimensions.
• Theoretical analysis of the Gabor transform on the Cayley Heisenberg group establishes foundational effects.
• This investigation highlights potential improvements in signal processing methods using these mathematical insights.