The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
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...
DCT kernel based finite discrete Gabor expansion (DGE) and discrete Gabor transform (DGT) implemented by filterbanks are presented. An analysis filterbank is designed for the finite DGT and a synthesis filterbank is designed for the finite DGE. The parallel channel in each of the two filterbanks has a unified structure and can apply the fast DCT (discrete cosine transform) algorithm to reduce its...
Novel and fast parallel algorithms for the DHT-based real-valued discrete Gabor expansion (DGE) and discrete Gabor transform (DGT) are presented based on filterbanks. An analysis interbank is designed for the DHT-based real-valued DGT and a synthesis interbank is designed for the DHT-based real-valued DGE. The parallel channel in each of the two filterbanks has a unified structure and can apply the...
The length of discrete signals could be very long in many real applications. In such case, the existing DCT-based real-valued discrete Gabor transform (RGDT) for finite sequences is no longer adequate. In this paper, the novel DCT-based RGDT for infinite sequences is defined and the biorthogonality relationship between the analysis window and the synthesis window for the novel transform is also provided...
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...
In this paper, the DCT-based real-valued discrete Gabor transform (RDGT) is briefly reviewed, and then, block time-recursive algorithms for the efficient and fast computation of the RDGT coefficients and for the fast reconstruction of the original signal from the coefficients are developed in both the critical sampling case and the oversampling case. Unified parallel lattice structures for the implementation...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.