Abstract
In digital communications, orthogonal pulse shapes are often used to represent message symbols for transmission through a channel. In this paper, the design of such pulse shapes is formulated as a convex semidefinite programming problem, from which a globally optimal pulse shape can be efficiently found. The formulation is used to design filters that achieve a) the minimal bandwidth for a given filter length; b) the minimal filter length for a given bandwidth; c) the maximal robustness to timing error for a given bandwidth and filter length. Bandwidth is measured either in spectral energy concentration terms or with respect to a spectral mask. The effectiveness of the method is demonstrated by the design of waveforms with substantially improved performance over the "chip" waveforms specified in recent standards for digital mobile telecommunications.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1433-1445 |
| Number of pages | 13 |
| Journal | IEEE Transactions on Signal Processing |
| Volume | 48 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2000 |
Bibliographical note
Funding Information:Manuscript received March 18, 1999; revised October 14, 1999. This work was supported by a research grant from Natural Sciences and Engineering Research Council of Canada and a grant from Telecommunications Research Institute of Ontario (TRIO). The associate editor coordinating the review of this paper and approving it for publication was Dr. Alle-Jan van der Veen.
Keywords
- Code division multiaccess
- Multirate fir digital filters
- Optimization methods
- Pulse amplitude modulation
- Signal design