Time-Frequency Analysis for Non-Stationary Signals
In this dissertation, the traditional Gabor represantation with sinusoidal basis functions, which is widely used in the time-frequency analysis of non-stationary signals, is extended to the Fractional Gabor expansion with fractionally modulated basis functions. The completeness and biorthoganility conditions of the analysis and synthesis basis sets of the expansion are derived. Then, a discrete fractional…
