Mutually orthogonal Golay complementary sequences in the simultaneous synthetic aperture method for medical ultrasound diagnostics. An experimental study

Tasinkevych, Yuriy; Trots, Ihor; Nowicki, Andrzej

doi:10.1016/j.ultras.2021.106434

Cited by 4 publications

(7 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To improve the echo signal noise to ratio (SNR) and defect dis-tance resolution of existing ultrasonic inspection systems, coded ultrasonic excitation techniques and pulse compression are introduced [10,11]. The common forms of coding include pseudo-random M sequence [12], Barker code [13], Golay code [14], and other phase codes, as well as pseudo-Chirp signals [15], linear frequency modulation (LFM) [16], and non-linear frequency modulation (NLFM) [17], etc. In the aforementioned phase codes, the Barker code has the lowest peak sidelobe level (PSL) after matched filtering.…”

Section: Introductionmentioning

confidence: 99%

Research on the peak detection method based on derivative transformation for ultrasonic guided wave signals in the rail

Xu,

Wei

et al. 2023

Preprint

View full text Add to dashboard Cite

To solve the problem of difficult identification and localization of structural defects by utilizing nonlinear ultrasonic guided waves with coding characteristics in the rail, a novel adaptive peak detection method is proposed in this work, which is based on multi-cascade moving average filter and derivative transformation. First, the ultrasonic guided wave detection system in the steel rail environment is introduced and the parameters of the piezoelectric ultrasonic transducer used in this paper are given. Secondly, analyze the characteristics of the coded excitation ultrasonic guide wave signal, consider the effects of peak sidelobe level, multipath effect, and noise, and use multi-cascade moving average filtering and Hilbert transforms to reduce peak sidelobe interference and extract the envelope. Finally, the peak position of the correlation sequence is detected according to the derivative transformation. The experiment shows that the proposed algorithm can effectively extract the peak information and has good anti-noise performance. It has good recognition ability in complex track environments and the algorithm's accuracy can reach 94.34. This is suitable for coded excitation ultrasonic transmission systems and is easy to implement in the real-time detection system.

show abstract

Section: Introductionmentioning

confidence: 99%

Research on the peak detection method based on derivative transformation for ultrasonic guided wave signals in the rail

Xu,

Wei

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Golay complementary pair (GCP) is a pair of equal length sequences whose out-of-phase aperiodic auto-correlation sums are zeros. GCPs have extensive applications in wireless communication technology [2], radar [3], image processing [4], channel estimation [5], and peak power control in orthogonal frequency division multiplexing (OFDM) [6]. In 1972, Tseng and Liu generalized the concept of GCPs to Golay complementary sets (GCSs) and mutually orthogonal Golay complementary sets (MOCSs) [7].…”

Section: Introductionmentioning

confidence: 99%

“…In 1988, Suehiro and Hatori proposed the concept of complete complementary codes (CCCs) whose set size achieves the theoretical upper bound of MOCSs (i.e., M ≤ N ) [11]. MOCSs have been applied in many practical scenarios such as synthetic aperture imaging systems [4], OFDM-CDMA systems [12] and multi-carrier code division multiple access (MC-CDMA) systems [13][14][15]. Z-complementary code sets (ZCCSs) will be useful if the practical situation focuses more on the set size.…”

Section: Introductionmentioning

confidence: 99%

“…In 1988, Suehiro and Hatori proposed the concept of (N, N, L)-complete complementary codes (CCCs) whose set size achieves the theoretical upper bound of MOCSs (i.e., M ≤ N ) [3]. Due to the ideal correlation properties, MOCSs have been applied in many practical scenarios such as synthetic aperture imaging systems [4], OFDM-CDMA systems [5] and MC-CDMA systems [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

“…2, 2), (h 1,2 , h 2,2 , h 3,2 ) = (3, 1, 0) and (h 1,3 , h 2,3 , h 3,3 ) = (2, 1, 3) in Theorem 4.2. Then F 0 , F 1 , • • • , F15 forms a quaternary(16,4, 64,16)-ZCCS, where F 3 and F 10 are given by…”

mentioning

confidence: 99%

See 2 more Smart Citations

New Constructions of Mutually Orthogonal Complementary Sets and Z-Complementary Sequence Sets Based on Extended Boolean Functions

Xiao

Cao

2022

Preprint

View full text Add to dashboard Cite

Mutually orthogonal complementary sets (MOCSs) have many applications in practical scenarios such as synthetic aperture imaging systems, orthogonal frequency division multiplexing code division multiple access (OFDM-CDMA) systems and multicarrier code division multiple access (MC-CDMA) systems. Z-complementary code sets (ZCCSs) will be useful if the practical situation focuses more on the set size. Most ofthe known constructions of MOCSs and ZCCSs based on generalized Boolean functions (GBFs) have lengths with the form of 2m or 2m+2t. Some constructions of MOCSs and ZCCSs based on other methods mostly have restrictive lengths. In this paper, we not only present constructions of an optimal ZCCS, but also construct MOCSs with flexible lengths. Both these constructions are based on extended Boolean functions. Though our proposed constructions generalize several previously known methods, we show that the parameters of these constructions are new and include previous parameters as special cases. In addition, a wide range of q-ary MOCSs and ZCCSs can be obtained by assigning different values to q.

show abstract

New constructions of mutually orthogonal complementary sets and Z-complementary code sets based on extended Boolean functions

Xiao,

Cao

2023

Cryptogr. Commun.

View full text Add to dashboard Cite

Mutually orthogonal complementary sets (MOCSs) have many applications in practical scenarios such as synthetic aperture imaging systems, orthogonal frequency division multiplexing code division multiple access (OFDM-CDMA) systems and multicarrier code division multiple access (MC-CDMA) systems. Z-complementary code sets (ZCCSs) will be useful if the practical situation focuses more on the set size. Most of the known constructions of MOCSs and ZCCSs based on generalized Boolean functions (GBFs) have lengths with the form of 2 m or 2 m +2 t . Some constructions of MOCSs and ZCCSs based on other methods mostly have restrictive lengths. In this paper, we not only present constructions of an optimal ZCCS, but also construct MOCSs with flexible lengths. Both these constructions are based on extended Boolean functions. Though our proposed constructions generalize several previously known methods, we show that the parameters of these constructions are new and include previous parameters as special cases. In addition, a wide range of q-ary MOCSs and ZCCSs can be obtained by assigning different values to q.

show abstract

Mutually orthogonal Golay complementary sequences in the simultaneous synthetic aperture method for medical ultrasound diagnostics. An experimental study

Cited by 4 publications

References 18 publications

Research on the peak detection method based on derivative transformation for ultrasonic guided wave signals in the rail

Research on the peak detection method based on derivative transformation for ultrasonic guided wave signals in the rail

New Constructions of Mutually Orthogonal Complementary Sets and Z-Complementary Sequence Sets Based on Extended Boolean Functions

New constructions of mutually orthogonal complementary sets and Z-complementary code sets based on extended Boolean functions

Contact Info

Product

Resources

About