delay difference
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2021 ◽  
Vol 13 (22) ◽  
pp. 4586
Author(s):  
Chuanqi Zhu ◽  
Shiliang Fang ◽  
Qisong Wu ◽  
Liang An ◽  
Xinwei Luo ◽  
...  

To acquire the enhanced underwater ship-radiated noise signal in the presence of array shape distortion in a passive sonar system, the phase difference of the line-spectrum component in ship-radiated noise is often exploited to estimate the time-delay difference for the beamforming-based signal enhancement. However, the time-delay difference estimation performance drastically degrades with decreases of the signal-to-noise ratio (SNR) of the line-spectrum component. Meanwhile, although the time-delay difference estimation performance of the high-frequency line-spectrum components is generally superior to that of the low-frequency one, the phase difference measurements of the high-frequency line-spectrum component often easily encounter the issue of modulus 2π ambiguity. To address the above issues, a novel time-frequency joint time-delay difference estimation method is proposed in this paper. The proposed method establishes a data-driven hidden Markov model with robustness to phase difference ambiguity by fully exploiting the underlying property of slowly changing the time-delay difference over time. Thus, the phase difference measurements available for time-delay difference estimation are extended from that of low-frequency line-spectrum components in a single frame to that of all detected line-spectrum components in multiple frames. By jointly taking advantage of the phase difference measurements in both time and frequency dimensions, the proposed method can acquire enhanced time-delay difference estimates even in a low SNR case. Both simulation and at-sea experimental results have demonstrated the effectiveness of the proposed method.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Gul Rahmat ◽  
Atta Ullah ◽  
Aziz Ur Rahman ◽  
Muhammad Sarwar ◽  
Thabet Abdeljawad ◽  
...  

AbstractIn this paper, we study the uniqueness and existence of the solution of a non-autonomous and nonsingular delay difference equation using the well-known principle of contraction from fixed point theory. Furthermore, we study the Hyers–Ulam stability of the given system on a bounded discrete interval and then on an unbounded interval. An example is also given at the end to illustrate the theoretical work.


Cryptography ◽  
2021 ◽  
Vol 5 (3) ◽  
pp. 23
Author(s):  
Riccardo Della Sala ◽  
Davide Bellizia ◽  
Giuseppe Scotti

In this paper, we present a novel ultra-compact Physical Unclonable Function (PUF) architecture and its FPGA implementation. The proposed Delay Difference PUF (DD-PUF) is the most dense FPGA-compatible PUF ever reported in the literature, allowing the implementation of two PUF bits in a single slice and provides very good values for all the most important figures of merit. The architecture of the proposed PUF exploits the delay difference between two nominally identical signal paths and the metastability features of D-Latches with an asynchronous reset input. The DD-PUF has been implemented on both Xilinx Spartan-6 and Artix-7 devices and the resulting design flows which allow to accurately balance the nominal delay of the different signal paths is outlined. The circuits have been extensively tested under temperature and supply voltage variations and the results of our evaluations on both FPGA families have shown that the proposed architecture and implementation are able to fit in just 32 Configurable Logic Blocks (CLBs) without sacrificing steadiness, uniqueness and uniformity, thus outperforming most of the previously published FPGA-compatible PUFs.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Samuel Weishaupt ◽  
Linus Feiten ◽  
Bernd Becker ◽  
Uwe Wagschal ◽  
Thomas Waldvogel ◽  
...  

Abstract When real-time response data from viewers of a televised debate is collected via the internet, the server timestamps of the received responses may not match the correct times of the debate. This paper addresses the question of how the data could be aligned in retrospect, using an algorithm that approximates the playout delay difference between each viewer’s TV signal. The validity is shown by successfully approximating distinctive delays for viewers with satellite or cable TV.


2021 ◽  
Vol 201 (2) ◽  
pp. 359-370
Author(s):  
I. S. Chernienko

Generalized additive models are applied for standardization of daily landing per unit effort (LPUE) for opilio crab using the data of fishery statistics for the West Bering Sea fishery zone in 2003–2020. A set of 12 models with various combinations of predictors was examined and the best model with the smallest value of Akaike criterion was selected (information criterion Akaike 21743, explained variance 58.6 %). The selected model reflects the effect of depth, distance from the coast, daily effort and tensor product of geographic coordinates and day of the year. LPUE was standardized using the selected model by substituting median values of nominal predictors and modal values of categorical predictors. Then the crab stock was estimated using the state-space form of Deriso-Schnute delay-difference model. The estimates based on both standardized and nominal indices are compared and a significant difference between them is found: the stock is assessed as 23,040 t with nominal indices but as 17,070 t using the standardized indices.


Photonics ◽  
2021 ◽  
Vol 8 (5) ◽  
pp. 171
Author(s):  
Jun Zhou ◽  
Zichun Le ◽  
Yanyu Guo ◽  
Zongshen Liu ◽  
Qiyong Xu ◽  
...  

Speckle-free imaging using a multimode fiber has been widely used for imaging systems. Generally, previous work has assumed that all the propagating modes of the fiber are uniformly excited, but the modal power distribution is actually affected by excitation conditions. Here, we propose the utilization of a modal analysis method to study the dependence of the speckle contrast on the modal power distribution by changing the tilt angle of the Gaussian beam and on the group delay time difference caused by different fiber lengths. The results of numerical simulations and experiments show that, with an increase in the tilt angle of the Gaussian beam, the modal power is transferred to higher-order modes and the maximum delay difference between excitation modes becomes larger. Therefore, the inter-mode interference effect is effectively weakened, and the speckle contrast is significantly reduced. The increase in fiber length will also make the delay difference between excitation modes larger and thus the speckle contrast is decreased. For the larger tilt angle of the Gaussian beam, only a shorter optical fiber is required to reduce the speckle contrast significantly. Our work further promotes the use of a multimode fiber to produce speckle-free patterns in laser imaging systems.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
S. H. Saker ◽  
S. Selvarangam ◽  
S. Geetha ◽  
E. Thandapani ◽  
J. Alzabut

AbstractIn this paper, we establish some sufficient conditions which ensure that the solutions of the third order delay difference equation with a negative middle term $$ \Delta \bigl(a_{n}\Delta (\Delta w_{n})^{\alpha } \bigr)-p_{n}(\Delta w_{n+1})^{ \alpha }-q_{n}h(w_{n-l})=0,\quad n\geq n_{0}, $$ Δ ( a n Δ ( Δ w n ) α ) − p n ( Δ w n + 1 ) α − q n h ( w n − l ) = 0 , n ≥ n 0 , are oscillatory. Moreover, we study the asymptotic behavior of the nonoscillatory solutions. Two illustrative examples are included for illustration.


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