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Performance analysis of SM-OTFS under imperfect channel estimation

Performance analysis of SM-OTFS under imperfect channel estimation
Performance analysis of SM-OTFS under imperfect channel estimation
In this correspondence, we derive closed-form bit error rate (BER) expressions for a Spatial Modulated Orthogonal Time Frequency Space (SM-OTFS) system under imperfect channel state information (CSI). We consider both Zero Forcing (ZF) and Minimum Mean Square Error (MMSE) based equalization techniques. OTFS modulation exhibits robustness against Doppler shifts and multipath fading, while Spatial Modulation (SM) enhances the spectral efficiency by utilizing the antenna index to encode additional information. However, imperfect CSI due to realistic channel estimation errors encountered in rapidly varying channel conditions significantly degrades the system performance. We analyze the effects of imperfect CSI on the BER performance of an SM-OTFS system for different equalization methods and SM orders. The closed-form expressions derived provide valuable insights into the trade-offs between the equalizer type, channel estimation accuracy, and system performance, demonstrating the necessity for robust channel estimation and resilient equalization strategies in high-mobility environments.
0018-9545
Yang, Halvin
5a2dee57-2e02-4988-acf7-59484a0b7522
Lambotharan, Sangarapillai
9839317e-0bf4-4d7c-8722-87d3ec9086de
Derakhshani, Mahsa
24b67912-a4bd-4b16-bc36-14051f17987f
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Yang, Halvin
5a2dee57-2e02-4988-acf7-59484a0b7522
Lambotharan, Sangarapillai
9839317e-0bf4-4d7c-8722-87d3ec9086de
Derakhshani, Mahsa
24b67912-a4bd-4b16-bc36-14051f17987f
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Yang, Halvin, Lambotharan, Sangarapillai, Derakhshani, Mahsa and Hanzo, Lajos (2025) Performance analysis of SM-OTFS under imperfect channel estimation. IEEE Transactions on Vehicular Technology. (doi:10.1109/TVT.2025.3635008).

Record type: Article

Abstract

In this correspondence, we derive closed-form bit error rate (BER) expressions for a Spatial Modulated Orthogonal Time Frequency Space (SM-OTFS) system under imperfect channel state information (CSI). We consider both Zero Forcing (ZF) and Minimum Mean Square Error (MMSE) based equalization techniques. OTFS modulation exhibits robustness against Doppler shifts and multipath fading, while Spatial Modulation (SM) enhances the spectral efficiency by utilizing the antenna index to encode additional information. However, imperfect CSI due to realistic channel estimation errors encountered in rapidly varying channel conditions significantly degrades the system performance. We analyze the effects of imperfect CSI on the BER performance of an SM-OTFS system for different equalization methods and SM orders. The closed-form expressions derived provide valuable insights into the trade-offs between the equalizer type, channel estimation accuracy, and system performance, demonstrating the necessity for robust channel estimation and resilient equalization strategies in high-mobility environments.

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e-pub ahead of print date: 21 November 2025

Identifiers

Local EPrints ID: 507504
URI: http://eprints.soton.ac.uk/id/eprint/507504
ISSN: 0018-9545
PURE UUID: e5b70d87-39e2-4c03-9da1-71fcb714dfcb
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

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Date deposited: 10 Dec 2025 17:52
Last modified: 11 Dec 2025 02:32

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Contributors

Author: Halvin Yang
Author: Sangarapillai Lambotharan
Author: Mahsa Derakhshani
Author: Lajos Hanzo ORCID iD

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