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In signal processing, resampling algorithms can modify the number of resources encoding a collection of data points. Downsampling reduces the cost of storage and communication, while upsampling interpolates new data from limited one, e.g.…

Quantum Physics · Physics 2025-11-17 Emanuele Tumbiolo , Simone Roncallo , Chiara Macchiavello , Lorenzo Maccone

For 3D Synthetic Aperture Radar (SAR) imaging, one typical approach is to achieve the cross-track 1D focusing for each range-azimuth pixel after obtaining a stack of 2D complex-valued images. The cross-track focusing is the main difficulty…

Signal Processing · Electrical Eng. & Systems 2018-08-28 Jingkun Gao , Bin Deng , Yuliang Qin , Hongqiang Wang , Xiang Li

All-quantum signal processing techniques are at the core of the successful advancement of most information-based quantum technologies. This paper develops coherent and comprehensive methodologies and mathematical models to describe Fourier…

Quantum Physics · Physics 2022-01-25 Mohammad Rezai , Jawad A. Salehi

In the last decade a lot of research activity focused on the use of quantum entanglement as a resource for remote target detection, i.e. on the design of a quantum radar. The literature on this subject uses tools of quantum optics and…

Quantum Physics · Physics 2021-07-22 Giacomo Sorelli , Nicolas Treps , Frederic Grosshans , Fabrice Boust

We investigate Quantum Target Ranging in the context of multi-hypothesis testing and its applicability to real-world LiDAR systems. First, we demonstrate that ranging is generally an easier task compared to the well-studied problem of…

Quantum Physics · Physics 2025-07-29 Giuseppe Ortolano , Ivano Ruo-Berchera

Quantum sensing has become a mature and broad field. It is generally related with the idea of using quantum resources to boost the performance of a number of practical tasks, including the radar-like detection of faint objects, the readout…

We study the target parameter estimation for sub-Nyquist pulse-Doppler radar. Several past works have addressed this problem but either have low estimation accuracy for off-grid targets, take large computation load, or lack versatility for…

Information Theory · Computer Science 2017-07-27 Shengyao Chen , Feng Xi , Zhong Liu

Fast Fourier Transform (FFT) is one of the most important tools in digital signal processing. FFT costs O(N \log N) for transforming a signal of length N. Recently, Sparse Fourier Transform (SFT) has emerged as a critical issue addressing…

Data Structures and Algorithms · Computer Science 2015-05-25 Sung-Hsien Hsieh , Chun-Shien Lu , Soo-Chang Pei

Synthetic aperture radar (SAR) interferometry (InSAR) is performed using repeat-pass geometry. InSAR technique is used to estimate the topographic reconstruction of the earth surface. The main problem of the range-Doppler focusing technique…

Signal Processing · Electrical Eng. & Systems 2018-03-15 Gabriele Costante , Thomas A. Ciarfuglia , Filippo Biondi

In this article, we introduce a novel algorithm for efficient near-field synthetic aperture radar (SAR) imaging for irregular scanning geometries. With the emergence of fifth-generation (5G) millimeter-wave (mmWave) devices, near-field SAR…

Signal Processing · Electrical Eng. & Systems 2023-05-04 Josiah Smith , Murat Torlak

Quantum optical states are fragile and can become corrupted when passed through a lossy communication channel. Unlike for classical signals, optical amplifiers cannot be used to recover quantum signals. Quantum repeaters have been proposed…

Quantum Physics · Physics 2017-02-15 Josephine Dias , Timothy C Ralph

The quantum Fourier transform (QFT) plays an important role in many known quantum algorithms such as Shor's algorithm for prime factorisation. In this paper we show that the QFT algorithm can, on a restricted set of input states, be…

Quantum Physics · Physics 2020-01-27 Alastair A. Abbott

The Discrete Fourier Transform (DFT) is central to the analysis of uniformly sampled signals, yet many practical applications involve non-uniform sampling, requiring the Non-Uniform Discrete Fourier Transform (NUDFT). While quantum…

Quantum Physics · Physics 2026-03-18 Junaid Aftab , Yuehaw Khoo , Haizhao Yang

The article presents a computationally effective algorithm for calculating the multiresolution discrete Fourier transform (MrDFT). The algorithm is based on the idea of reducing the computational complexity which was introduced by Wen and…

Data Structures and Algorithms · Computer Science 2015-07-10 Bartosz Andreatto , Aleksandr Cariow

Two descriptions are introduced and analyzed for a reflectivity estimation and detection scheme that does not involve measurement of photons scattered by the target. One description, provided by the Hamiltonian dynamics of the full…

Quantum Physics · Physics 2024-08-23 T. J. Volkoff

Quantum amplitude amplification algorithm is an important and basic technique in quantum computing. In this paper, our goal is to study distributed quantum amplitude amplification algorithms, and the main contributions are: (1) A…

Quantum Physics · Physics 2025-10-21 Ximing Hua , Daowen Qiu

Convolutions are one of the most important operations in signal processing. They often involve large arrays and require significant computing time. Moreover, in practice, the signal data to be processed by convolution may be corrupted by…

Numerical Analysis · Mathematics 2023-02-01 Alina Chertock , Chris Leonard , Semyon Tsynkov , Sergey Utyuzhnikov

We put forward a Quantum Amplitude Estimation algorithm delivering superior performance (lower quantum computational complexity and faster classical computation parts) compared to the approaches available to-date. The algorithm does not…

Quantum Physics · Physics 2024-07-25 Alet Roux , Tomasz Zastawniak

A central aspect of every pulsed radar signal processor is the targets Range-Doppler estimation within a Coherent Processing Interval. Conventional methods typically rely on simplifying assumptions, such as linear target motion, narrowband…

Signal Processing · Electrical Eng. & Systems 2026-04-24 Nadav Neuberger , Simon Kollecker , Martin Kaeske

Radars are an ideal complement to cameras: both are inexpensive, solid-state sensors, with cameras offering fine angular resolution, while radars provide metric depth and robustness under adverse weather. However, radar data is more…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Chuhan Chen , Tianshu Huang , Akarsh Prabhakara , Chaithanya Kumar Mummadi , Zhongxiao Cong , Anthony Rowe , Matthew O'Toole , Deva Ramanan
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