Fast unified computation of the multi-dimensional discrete sinusoidal transforms
Applied Mathematics and Computation
On the arbitrary-length M-channel linear phase perfect reconstruction filter banks
IEEE Transactions on Signal Processing
Design of directional filter banks with arbitrary number of subbands
IEEE Transactions on Signal Processing
| Hi-index | 35.69 |
This correspondence presents a new factorization for linear-phase biorthogonal perfect reconstruction (PR) FIR filter hanks. Using this factorization, we propose a new family of lapped transform called the generalized lapped transform (GLT). Since the analysis and synthesis filters of the GLT are not restricted to be time reverses of each other, they can offer more freedom to avoid blocking artifacts and improve coding gain in subband coding applications. The GLT is found to have higher coding gain and smoother synthesis basis functions than the lapped orthogonal transform (LOT). Simulation results also demonstrated that the GLT has significantly less blocking artifacts, higher peak signal-to-noise ratio (PSNR), and better visual quality than the LOT in image coding. Simplified GLT with different complexity/performance tradeoff is also studied