Linear stochastic systems
Multirate systems and filter banks
Multirate systems and filter banks
Design of multirate filter banks by ℋ∞optimization
IEEE Transactions on Signal Processing
A mixed norm performance measure for the design of multiratefilterbanks
IEEE Transactions on Signal Processing
Mixed H2/H∞ filtering design inmultirate transmultiplexer systems: LMI approach
IEEE Transactions on Signal Processing
| Hi-index | 35.68 |
In this paper, we reformulate the design of the IIR synthesis filters in classical multirate systems as an interpolation problem involving a norm called the Pm norm where m is any positive integer. This interpolation problem can be solved using relaxed commutant lifting techniques in operator theory. The Pm norm is actually a tradeoff in handling energy distortion and error peak distortion. Our development allows the designer to select from a family of filters the one which is best suited for a specific application. The well-known H2 and H∞ design methods can be viewed as special cases when m = 1 and m→ ∞ respectively. The computation relies mainly on FFT techniques and a finite section of certain Toeplitz matrices. The resulting filters are given in state space form and maybe useful for practical implementation.