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Continuous phase modulation (CPM) is a very attractive digital modulation scheme, with constant envelope feature and high efficiency in meeting the power and bandwidth requirements. CPM signals with pairs of input sequences that differ in an infinite number of positions and map into pairs of transmitted signals with finite Euclidean distance (ED) are called catastrophic. In the CPM scheme, data sequences that have the catastrophic property are called the catastrophic sequences; they are periodic difference data patterns. The catastrophic sequences are usually with shorter length of the merger. The corresponding minimum normalized squared ED (MNSED) is smaller and below the distance bound. Two important CPM schemes, viz., *L*REC and *L*RC schemes, are known to be catastrophic for most cases; they have poor overall power and bandwidth performance. In the literatures, it has been shown that the probability of generating such catastrophic sequences are negligible, therefore, the asymptotic error performance (AEP) of those well-known catastrophic CPM schemes evaluated with the corresponding MNSED, over AWGN channels, might be too negative or pessimistic. To deal with this problem in AWGN channel, this paper presents a new split-merged MNSED and provide criteria to explore which conventional catastrophic CPM scheme could increase the length of mergers with split-merged non-periodic events, effectively. For comparison, we investigate the exact power and bandwidth performance for *L*REC and *L*RC CPM for the same bandwidth occupancy. Computer simulation results verify that the AEP evaluating with the split-merged MNSED could achieve up to 3dB gain over the conventional approach.

- Publication
- IEICE TRANSACTIONS on Communications Vol.E102-B No.11 pp.2091-2103

- Publication Date
- 2019/11/01

- Publicized
- 2019/05/16

- Online ISSN
- 1745-1345

- DOI
- 10.1587/transcom.2018EBP3143

- Type of Manuscript
- PAPER

- Category
- Transmission Systems and Transmission Equipment for Communications

Richard Hsin-Hsyong YANG

National Kaohsiung University of Science and Technology

Chia-Kun LEE

National Kaohsiung University of Science and Technology

Shiunn-Jang CHERN

Tamkang University

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

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Richard Hsin-Hsyong YANG, Chia-Kun LEE, Shiunn-Jang CHERN, "Performance Improvement of the Catastrophic CPM Scheme with New Split-Merged MNSED" in IEICE TRANSACTIONS on Communications,
vol. E102-B, no. 11, pp. 2091-2103, November 2019, doi: 10.1587/transcom.2018EBP3143.

Abstract: Continuous phase modulation (CPM) is a very attractive digital modulation scheme, with constant envelope feature and high efficiency in meeting the power and bandwidth requirements. CPM signals with pairs of input sequences that differ in an infinite number of positions and map into pairs of transmitted signals with finite Euclidean distance (ED) are called catastrophic. In the CPM scheme, data sequences that have the catastrophic property are called the catastrophic sequences; they are periodic difference data patterns. The catastrophic sequences are usually with shorter length of the merger. The corresponding minimum normalized squared ED (MNSED) is smaller and below the distance bound. Two important CPM schemes, viz., *L*REC and *L*RC schemes, are known to be catastrophic for most cases; they have poor overall power and bandwidth performance. In the literatures, it has been shown that the probability of generating such catastrophic sequences are negligible, therefore, the asymptotic error performance (AEP) of those well-known catastrophic CPM schemes evaluated with the corresponding MNSED, over AWGN channels, might be too negative or pessimistic. To deal with this problem in AWGN channel, this paper presents a new split-merged MNSED and provide criteria to explore which conventional catastrophic CPM scheme could increase the length of mergers with split-merged non-periodic events, effectively. For comparison, we investigate the exact power and bandwidth performance for *L*REC and *L*RC CPM for the same bandwidth occupancy. Computer simulation results verify that the AEP evaluating with the split-merged MNSED could achieve up to 3dB gain over the conventional approach.

URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.2018EBP3143/_p

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@ARTICLE{e102-b_11_2091,

author={Richard Hsin-Hsyong YANG, Chia-Kun LEE, Shiunn-Jang CHERN, },

journal={IEICE TRANSACTIONS on Communications},

title={Performance Improvement of the Catastrophic CPM Scheme with New Split-Merged MNSED},

year={2019},

volume={E102-B},

number={11},

pages={2091-2103},

abstract={Continuous phase modulation (CPM) is a very attractive digital modulation scheme, with constant envelope feature and high efficiency in meeting the power and bandwidth requirements. CPM signals with pairs of input sequences that differ in an infinite number of positions and map into pairs of transmitted signals with finite Euclidean distance (ED) are called catastrophic. In the CPM scheme, data sequences that have the catastrophic property are called the catastrophic sequences; they are periodic difference data patterns. The catastrophic sequences are usually with shorter length of the merger. The corresponding minimum normalized squared ED (MNSED) is smaller and below the distance bound. Two important CPM schemes, viz., *L*REC and *L*RC schemes, are known to be catastrophic for most cases; they have poor overall power and bandwidth performance. In the literatures, it has been shown that the probability of generating such catastrophic sequences are negligible, therefore, the asymptotic error performance (AEP) of those well-known catastrophic CPM schemes evaluated with the corresponding MNSED, over AWGN channels, might be too negative or pessimistic. To deal with this problem in AWGN channel, this paper presents a new split-merged MNSED and provide criteria to explore which conventional catastrophic CPM scheme could increase the length of mergers with split-merged non-periodic events, effectively. For comparison, we investigate the exact power and bandwidth performance for *L*REC and *L*RC CPM for the same bandwidth occupancy. Computer simulation results verify that the AEP evaluating with the split-merged MNSED could achieve up to 3dB gain over the conventional approach.},

keywords={},

doi={10.1587/transcom.2018EBP3143},

ISSN={1745-1345},

month={November},}

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TY - JOUR

TI - Performance Improvement of the Catastrophic CPM Scheme with New Split-Merged MNSED

T2 - IEICE TRANSACTIONS on Communications

SP - 2091

EP - 2103

AU - Richard Hsin-Hsyong YANG

AU - Chia-Kun LEE

AU - Shiunn-Jang CHERN

PY - 2019

DO - 10.1587/transcom.2018EBP3143

JO - IEICE TRANSACTIONS on Communications

SN - 1745-1345

VL - E102-B

IS - 11

JA - IEICE TRANSACTIONS on Communications

Y1 - November 2019

AB - Continuous phase modulation (CPM) is a very attractive digital modulation scheme, with constant envelope feature and high efficiency in meeting the power and bandwidth requirements. CPM signals with pairs of input sequences that differ in an infinite number of positions and map into pairs of transmitted signals with finite Euclidean distance (ED) are called catastrophic. In the CPM scheme, data sequences that have the catastrophic property are called the catastrophic sequences; they are periodic difference data patterns. The catastrophic sequences are usually with shorter length of the merger. The corresponding minimum normalized squared ED (MNSED) is smaller and below the distance bound. Two important CPM schemes, viz., *L*REC and *L*RC schemes, are known to be catastrophic for most cases; they have poor overall power and bandwidth performance. In the literatures, it has been shown that the probability of generating such catastrophic sequences are negligible, therefore, the asymptotic error performance (AEP) of those well-known catastrophic CPM schemes evaluated with the corresponding MNSED, over AWGN channels, might be too negative or pessimistic. To deal with this problem in AWGN channel, this paper presents a new split-merged MNSED and provide criteria to explore which conventional catastrophic CPM scheme could increase the length of mergers with split-merged non-periodic events, effectively. For comparison, we investigate the exact power and bandwidth performance for *L*REC and *L*RC CPM for the same bandwidth occupancy. Computer simulation results verify that the AEP evaluating with the split-merged MNSED could achieve up to 3dB gain over the conventional approach.

ER -