Joint frequency-phase estimation for pilot-limited communication systems: a novel method based on length-variable auto-c
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. LETTER .
June 2020, Vol. 63 169303:1–169303:3 https://doi.org/10.1007/s11432-019-1471-2
Joint frequency-phase estimation for pilot-limited communication systems: a novel method based on length-variable auto-correlation operator Hengzhou XU* , Wenjing WEI, Bo ZHANG, Mengmeng XU & Hai ZHU School of Network Engineering, Zhoukou Normal University, Zhoukou 466001, China Received 6 May 2019/Revised 20 July 2019/Accepted 1 August 2019/Published online 12 February 2020 Citation Xu H Z, Wei W J, Zhang B, et al. Joint frequency-phase estimation for pilot-limited communication systems: a novel method based on length-variable auto-correlation operator. Sci China Inf Sci, 2020, 63(6): 169303, https://doi.org/10.1007/s11432-019-1471-2
Dear editor, Wireless communication systems, such as the fifth-generation (5G), unmanned aircraft vehicle, have widespread applications in our modern society [1–4]. This case will significantly decline available spectrum resources, thereby requiring us to provide some solutions. This study proposes a novel method for providing joint frequency-phase estimation for pilot-limited communication systems. Traditional frequency-phase estimation (TFPE) method often first estimates the frequency offset, then estimates the phase offset post frequency offset compensation. So this TFPE method can be regarded as a “serial” estimation mode. However, this mode will suffer from the following fact: the performance of the frequency offset estimation directly influences that of the subsequent phase offset estimation [5,6]. Generally, the usage of a pilot sequence will directly determine the overall performance of the TFPE method, particularly for pilotlimited communication systems. For the TFPE method, the pilot-aided frequency offset estimation cannot achieve a good performance, thereby resulting in a serious impact on the performance of the coming phase offset estimation [7]. So far, no effective solution to the aforementioned problem has yet been provided. Thus, we propose a new frequency-phase estimation (NFPE) method
to implement the decoupling of the frequency and phase offset estimations such that this method can be viewed as a “paralle” estimation mode. System model. Figure 1 depicts the system model used in this study. First, a data stream along with a pilot stream is converted by a modulator (MOD) into two groups of complex baseband signals d with M and p with L symbols, respectively. Next, the signals d and p are spliced together via a multiplexer (MUX) to generate a popular “preamble” frame structure [8]. The multiplexed signals are then rotated by Doppler shift fd and phase offset θ ∈ [−π, π), further passing through the additional white Gaussian noise (AWGN) channel. Single carrier transmission with an ideal symbol timing based on the classical interpolation idea [9] is assumed, such that the k-th received signal can be expressed as r(k) = s(k) exp [j (2πfdTs k + θ)] + n(k),
(1)
where k ∈ {1, 2, . . . , L, L + 1, L + 2, . . . , L + M }, s(k) is the normalized-energy signal; Ts is the symbol dura
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