2014
DOI: 10.1109/tcomm.2014.2364597
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Analysis of the Frequency Offset Effect on Zadoff–Chu Sequence Timing Performance

Abstract: Zadoff-Chu (ZC) sequences have been used as synchronization sequences in modern wireless communication systems, replacing the conventional pseudorandom noise sequences due to their perfect autocorrelation properties. We first study the problem of ambiguity between a timing offset and a frequency offset, which arises when a ZC sequence is used as a synchronization signal. We then show how a frequency offset can impair the timing property of a ZC sequence, causing irreducible timing errors. An analytical framewo… Show more

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Cited by 68 publications
(38 citation statements)
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“…Denote byP (n) a modulated version of P (n) with carrier frequency ∆f i , i.e.P (n) = P (n)e j2π∆finT b , ∀n ∈ {0, N zc − 1}, where T b is the bit duration. Taking cross correlation of P (n) with P (n), one sees the peak location changes periodically between −⌊N zc /2⌋ and ⌊N zc /2⌋, as discussed in [17]. Given T b and N zc as characteristics of the system, position of shifted peak can be derived as a function ∆f i , denoted by Q(∆f i ), as depicted in Fig.…”
Section: Processing Of Detected Peaksmentioning
confidence: 98%
“…Denote byP (n) a modulated version of P (n) with carrier frequency ∆f i , i.e.P (n) = P (n)e j2π∆finT b , ∀n ∈ {0, N zc − 1}, where T b is the bit duration. Taking cross correlation of P (n) with P (n), one sees the peak location changes periodically between −⌊N zc /2⌋ and ⌊N zc /2⌋, as discussed in [17]. Given T b and N zc as characteristics of the system, position of shifted peak can be derived as a function ∆f i , denoted by Q(∆f i ), as depicted in Fig.…”
Section: Processing Of Detected Peaksmentioning
confidence: 98%
“…In order to represent the property of ZC codes, we take into consideration one CFO affected ZC code, which is shown in [14], [15] that…”
Section: ) Initial Detectionmentioning
confidence: 99%
“…When correlating a CFO affected ZC code with the local one, besides the main correlation peak, false correlation peaks also take place. In [14], [15], it is mathematically derived that the cyclic-shift of a CFO affected ZC code corresponds to its root value, which facilitates the determination of locations of false correlation peaks. A restricted set of ZC codes for bearing the impact of CFOs is designed in [16], [17] by taking into account cyclicshifts which result because of CFOs.…”
Section: Introductionmentioning
confidence: 99%
“…Along with aforementioned schemes and extensive pilot contamination elimination literature has not focused on uplink pilot sequence design or selection features and such contributions are limited in the literature, e.g., [13] and [14], where uplink pilot sequences in neighboring cells are treated as noise. Anzhong et al [13] proposed to phase shift a given Zadoff-Chu (ZC) sequence [15] among multiple cells and calculate the required phase shift to be used in each cell. Hien et al [14] proposed a greedy sequence assignment algorithm, where the sequences are allowed to take random values and are not chosen from a predefined set of sequences.…”
Section: Introductionmentioning
confidence: 99%
“…In fact, if the periodic autocorrelation of a ZC sequence provides a single peak at the zero lag, the periodic correlation of the same sequence against its cyclic shifted replica provides a peak at a lag CS L , where CS L is the number of samples of the cyclic shift. This creates a zero-correlation zone (ZCZ) between the two sequences [15]. To make pilot sequences orthogonal across the network, the orthogonal codes are used.…”
Section: Introductionmentioning
confidence: 99%