---
_id: '11793'
abstract:
- lang: eng
  text: The problem of optimal carrier recovery and detection of digitally phase modulated
    signals on fading channels by using a nonstructured approach is presented, i.e.
    no constraint is placed on the receiver structure. First, the optimal receiver
    is derived for digitally phase-modulated signals when transmitted over a frequency-nonselective
    fading channel with memory. The memory results from the fact that usually the
    coherence time of the channel is larger than the symbol period. Symbols adjacent
    in time cannot be detected independently and therefore the well-known quadratic
    receiver is not optimal in this case. A maximum a posteriori (MAP) detector is
    derived and explicitly utilizes the channel memory for carrier recovery. The derivation
    shows that the optimal carrier recovery is, under certain conditions, a Kalman
    filter. Some attractive properties of this carrier recovery unit (including the
    absence of hang up) are discussed. Then the error rate of several digital modulation
    schemes is calculated taking the performance of the filter into account. The differences
    in susceptibility of the modulation schemes to carrier phase jitter are specified.
author:
- first_name: Reinhold
  full_name: Haeb-Umbach, Reinhold
  id: '242'
  last_name: Haeb-Umbach
- first_name: Heinrich
  full_name: Meyr, Heinrich
  last_name: Meyr
citation:
  ama: Haeb-Umbach R, Meyr H. A systematic approach to carrier recovery and detection
    of digitally phase modulated signals on fading channels. <i>IEEE Transactions
    on Communications</i>. 1989.
  apa: Haeb-Umbach, R., &#38; Meyr, H. (1989). A systematic approach to carrier recovery
    and detection of digitally phase modulated signals on fading channels. <i>IEEE
    Transactions on Communications</i>.
  bibtex: '@article{Haeb-Umbach_Meyr_1989, title={A systematic approach to carrier
    recovery and detection of digitally phase modulated signals on fading channels},
    journal={IEEE Transactions on Communications}, author={Haeb-Umbach, Reinhold and
    Meyr, Heinrich}, year={1989} }'
  chicago: Haeb-Umbach, Reinhold, and Heinrich Meyr. “A Systematic Approach to Carrier
    Recovery and Detection of Digitally Phase Modulated Signals on Fading Channels.”
    <i>IEEE Transactions on Communications</i>, 1989.
  ieee: R. Haeb-Umbach and H. Meyr, “A systematic approach to carrier recovery and
    detection of digitally phase modulated signals on fading channels,” <i>IEEE Transactions
    on Communications</i>, 1989.
  mla: Haeb-Umbach, Reinhold, and Heinrich Meyr. “A Systematic Approach to Carrier
    Recovery and Detection of Digitally Phase Modulated Signals on Fading Channels.”
    <i>IEEE Transactions on Communications</i>, 1989.
  short: R. Haeb-Umbach, H. Meyr, IEEE Transactions on Communications (1989).
date_created: 2019-07-12T05:28:22Z
date_updated: 2022-01-06T06:51:08Z
department:
- _id: '54'
language:
- iso: eng
publication: IEEE Transactions on Communications
status: public
title: A systematic approach to carrier recovery and detection of digitally phase
  modulated signals on fading channels
type: journal_article
user_id: '44006'
year: '1989'
...