Filter bank has applications in areas like video and audio coding, data communication, etc.
Its improvement will have important impacts in those areas. Filter bank design is a multi-objective optimization problem. One important issue in this research is that the design objectives are not unique and are conflicting, leading to designs with different tradeoffs. Here, we define reconstruction error as the objective function, and set stopband energy, passband energy, stopband ripple, passband ripple, and transition bandwidth as constraints. QMF Filter Bank Design Using Nonlinear Optimization.