Orthogonal time-varying filter banks and wavelet packets
نویسندگان
چکیده
منابع مشابه
Time-varying lapped transforms and wavelet packets
The perfect reconstruction conditions for a timevarying lapped transform (paraunitary filter bank) are developed through the factorization of the transform matrix into sparse factors. A general formulation is presented allowing one to switch between two paraunitary filter banks. However, the extended lapped transform (ELT) is often used as an example. Furthermore, an adaptive wavelet packet is ...
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The use of a paraunitary lter bank for image processing requires a special treatment at image boundaries to ensure perfect reconstruction and orthogonality of these regions. Using time-varying boundary lter banks, we will discuss a procedure that explores all degrees of freedom of the border lters in a method essentially independent of signal extensions, allowing us to design optimal boundary l...
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In this paper, we study the fundamentals of timevarying filter banks (TVFB). Using a polyphase approach to TVFB’s, we are able to show some unusual properties that are not exhibited by the conventional LTI filter banks. For example, we can show that for a perfect reconstruction (PR) TVFB, the losslessness of analysis bank does not always imply that of the synthesis bank, and replacing the delay...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 1994
ISSN: 1053-587X
DOI: 10.1109/78.324731