Fast block LMS based estimation of angularly sparse channels for single-carrier wideband millimeter wave hybrid MIMO systems

Adaptive block-based least-mean squares (BLMS)- based techniques are conceived for channel estimation in singlecarrier (SC) wideband millimeter wave (mmWave) hybrid MIMO systems. In this context, a frequency-domain channel estimation model is developed for SC wideband systems, followed by a novel fast BLMS (FBLMS) technique, which has a significantly lower computational complexity than the existing channel estimation schemes designed for mmWave hybrid MIMO systems. The proposed FBLMS technique is also robust, since it does not require any second-order statistical information, such as the cross-covariance vector and covariance matrix. Next a beamspace domain representation of the mmWave MIMO channel is obtained, followed by the development of the sparse-FBLMS (SFBLMS) scheme for the estimation of the wideband mmWave MIMO channel that additionally exploits the angular-sparsity for
improved channel estimation performance. Analytical expressions are derived for the mean squared estimation error (MSEE) and mean squared observation error (MSOE) of both the proposed FBLMS and SFBLMS techniques. Furthermore, a systematic procedure is developed for determining the beneficial range of the values of the regularization parameter, which ensures a high channel estimation accuracy of the SFBLMS over FBLMS. A hybrid precoder and combiner design is also proposed for SC
wideband systems by employing the channel estimates obtained using the above techniques. Simulation results are presented to illustrate the performance of the proposed BLMS-based schemes in comparison to the existing schemes, which closely match the theoretical results derived.

Block LMS, channel estimation, frequency-domain equalization (FDE), hybrid MIMO, least mean squares, mmwave communication, single-carrier (SC), sparse LMS, sparsity

10.1109/TVT.2020.3049026

0018-9545

666 - 681

Srivastava, Suraj

d1cf72bf-db1d-4e5c-86a8-d4badc5a5b94

Sharma, Pooja

e35d4adc-6b2d-4fb5-a0f6-43fcd3488247

Dwivedi, Saumya

127da9cd-919f-4ea7-8561-794c94fc4316

Jagannatham, Aditya K.

ea2f628b-0f2a-48a3-a293-122c809757aa

Hanzo, Lajos

66e7266f-3066-4fc0-8391-e000acce71a1

January 2021

Srivastava, Suraj

d1cf72bf-db1d-4e5c-86a8-d4badc5a5b94

Sharma, Pooja

e35d4adc-6b2d-4fb5-a0f6-43fcd3488247

Dwivedi, Saumya

127da9cd-919f-4ea7-8561-794c94fc4316

Jagannatham, Aditya K.

ea2f628b-0f2a-48a3-a293-122c809757aa

Hanzo, Lajos

66e7266f-3066-4fc0-8391-e000acce71a1

Srivastava, Suraj, Sharma, Pooja, Dwivedi, Saumya, Jagannatham, Aditya K. and Hanzo, Lajos (2021) Fast block LMS based estimation of angularly sparse channels for single-carrier wideband millimeter wave hybrid MIMO systems. IEEE Transactions on Vehicular Technology, 70 (1), 666 - 681, [9314013]. (doi:10.1109/TVT.2020.3049026).

Record type: Article

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Accepted/In Press date: 24 December 2020

e-pub ahead of print date: 5 January 2021

Published date: January 2021

Additional Information: Funding Information: Manuscript received June 26, 2020; revised October 15, 2020 and November 21, 2020; accepted December 23, 2020. Date of publication January 5, 2021; date of current version February 12, 2021. The work of Aditya K. Jagannatham was supported by the Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, Space Technology Cell, IIT Kanpur, IIMA IDEA Telecom Centre of Excellence, Qualcomm Innovation Fellowship and Arun Kumar Chair Professorship. The work of Lajos Hanzo was supported by the Engineering and Physical Sciences Research Council Projects EP/N004558/1, EP/P034284/1, EP/P034284/1, and EP/P003990/1 (COALESCE), of the Royal Society’s Global Challenges Research Fund Grant as well as of the European Research Council’s Advanced Fellow Grant Quant-Com. The review of this article was coordinated by Dr. C. Yuen. (Corresponding author: Lajos Hanzo.) Suraj Srivastava and Aditya K. Jagannatham are with the Department of Electrical Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, India (e-mail: ssrivast@iitk.ac.in; adityaj@iitk.ac.in). Publisher Copyright: © 1967-2012 IEEE.

Keywords: Block LMS, channel estimation, frequency-domain equalization (FDE), hybrid MIMO, least mean squares, mmwave communication, single-carrier (SC), sparse LMS, sparsity

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