Abstract
We present a unified approach to determine the exact bit error rate (BER) of noncoherent and differentially coherent modulations with single and multichannel reception over additive white Gaussian noise and generalized fading channels. The multichannel reception results assume independent fading in the channels and are applicable to systems that employ postdetection equal gain combining. Our approach relies on an alternate form of the Marcum Q-function and leads to expressions of the BER involving a single finite-range integral which can be readily evaluated numerically. Aside from unifying the past results, the new approach also allows for a more general solution to the problem in that it includes many situations that in the past defied a simple solution. The best example of this occurs for multichannel reception where the fading on each channel need not be identically distributed nor even distributed according to the same family of distributions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1625-1638 |
| Number of pages | 14 |
| Journal | IEEE Transactions on Communications |
| Volume | 46 |
| Issue number | 12 |
| DOIs | |
| State | Published - 1998 |
| Externally published | Yes |
Bibliographical note
Funding Information:Paper approved by P. T. Mathiopoulos, the Editor for Wireless Personal Communications of the IEEE Communications Society. Manuscript received October 23, 1997; revised April 20, 1998. The work of M.-S. Alouini was supported in part by a National Semiconductor (NSC) Graduate Fellowship Award and in part by the Office of Naval Research (ONR) under Grant NAV-5X-N149510861.
Keywords
- Multichannel reception
- Nakagami fading
- Noncoherent and differentially coherent communications
- Postdetection diversity
ASJC Scopus subject areas
- Electrical and Electronic Engineering