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Based on the biorthogonal analysis approach, a multiwindow real-valued discrete Gabor transform (M-RDGT) for periodic sequences is presented to efficiently analyze the dynamic time-frequency content of a signal containing components with multiple and/or time-varying frequencies. The M-RDGT offers a computationally efficient implementation as well as a real-valued formulation of the multiwindow complex-valued...
The length of windows used in the existing multiwindow complex-valued discrete Gabor transform (M-CDGT) is restricted to be the length of analyzed sequences. Consequently, if the lengths of analyzed sequences are long, to solve the windows requires high computation burden and memory and even leads to numerical instability. To overcome this problem, a multi-window real-valued discrete Gabor transform...
The traditional DCT-based real-valued discrete Gabor transform (RGDT) was limited to the critical sampling case. The biorthogonality relationship between the analysis window and synthesis window for the transform was not unveiled. To overcome those drawbacks, this paper proposes a novel DCT-based real-valued discrete Gabor transform, which can be applied under both the critical sampling condition...
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