A novel approach for constructing symmetric compactly supported biorthogonal multiwavelets with short sequences is proposed in this paper. For some symmetric types of biorthogonal multiwavelet systems, starting from the symmetric properties of scaling and wavelet functions, parameterized symmetric forms of polyphase matrices can be derived. Furthermore, according to the matrix equations of the ...

A novel modulation format is proposed for cellular direct-sequence CDMA systems where a user-specific spreading sequence is binary pulse position and biorthogonally modulated to form a set of biorthogonal spreading sequences. The modulation scheme trades the signal space used for spreading sequences with that for modulation while a global space is fixed. The interference is mainly determined by...

The concept of Multiple Input Multiple Output (MIMO) biorthogonal partners arises in many different contexts, one of them being multiwavelet theory. They also play a central role in the theory of MIMO channel equalization, especially with fractionally spaced equalizers. In this paper we will explore some further theoretical properties of MIMO biorthogonal partners. These include the conditions ...

This paper conducts a research on the wavelet construction and application of image edge detection. Taking detection algorithm based modulus maxima as subject, this discusses problem dislocation phenomenon, threshold selection, multi-scale fusion evaluation criterion in algorithm, proposes an improved self-adaptive hierarchical information amount vanishing moment. From angle symmetry, filter co...

A biorthogonal formulation is applied to the non-Hermite transcorrelated Hamiltonian, which treats a large amount of the dynamic correlation effects implicitly. We introduce biorthogonal canonical orbitals diagonalizing the non-Hermitian Fock operator. We also formulate many-body perturbation theory for the transcorrelated Hamiltonian. The biorthogonal self-consistent field followed by the seco...