Biorthogonal frequency-varying modulated lapped transform

In this paper we introduce a biorthogonal frequency-varying modulated lapped transform (BFV-MLT) with flexible tiling behavior of time-frequency plane and attenuation of ringing artifacts. Biorthogonality allows accessorial freedom in designing the analysis and synthesis filter-banks and FVMLT provides nonuniform decomposition of signals with ideal time or frequency resolutions. By constructing a new approach to FV-MLT, we incorporate biorthogonality into FV-MLT easily and achieve flexible representations of signals plus freedom in filter-bank design. We also prove that perfect reconstruction holds in BFV-MLT which confirms its application in compression schemes.