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In this paper, we consider the problem of compressed sensing where the goal is to recover almost all the sparse vectors using a small number of fixed linear measurements. For this problem, we propose a novel partial hard-thresholding…

Information Theory · Computer Science 2011-06-15 Prateek Jain , Ambuj Tewari , Inderjit S. Dhillon

Accurate channel estimation in massive multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems is challenging when the number of pilot symbols is much smaller than the number of transmit antennas.…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Xiucheng Wang , Nan Cheng , Yiyan Zhang , Ruijin Sun , Haixia Peng

Phase-noise (PN) estimation and compensation are crucial in millimeter-wave (mmWave) communication systems to achieve high reliability. The PN estimation, however, suffers from high computational complexity due to its fundamental…

Information Theory · Computer Science 2021-09-29 MinKeun Chung , Liang Liu , Ove Edfors

In this letter, we propose a sparsification method for precoding codebooks that reduces the peak-to-average power ratio (PAPR) while preserving the achievable rate. By exploiting the fact that precoder matrices lie on the Grassmann…

Signal Processing · Electrical Eng. & Systems 2026-04-22 Joe Asano , Yuto Hama , Hiroki Iimori , Szabolcs Malomsoky , Naoki Ishikawa

In this study, we propose two schemes for uplink control channels based on non-contiguous complementary sequences (CSs) where the peak-to-average-power ratio (PAPR) of the resulting orthogonal frequency division multiplexing (OFDM) signal…

Information Theory · Computer Science 2019-04-03 Alphan Şahin , Rui Yang

In this paper, we consider compressive/sparse affine phase retrieval proposed in [B. Gao B, Q. Sun, Y. Wang and Z. Xu, Adv. in Appl. Math., 93(2018), 121-141]. By the lift technique, and heuristic nuclear norm for convex relaxation of rank…

Optimization and Control · Mathematics 2018-09-24 Wengu Chen , Peng Li , Qiyu Sun

In this manuscript, we analyze the sparse signal recovery (compressive sensing) problem from the perspective of convex optimization by stochastic proximal gradient descent. This view allows us to significantly simplify the recovery analysis…

Data Structures and Algorithms · Computer Science 2013-04-19 Rong Jin , Tianbao Yang , Shenghuo Zhu

In remote control, efficient compression or representation of control signals is essential to send them through rate-limited channels. For this purpose, we propose an approach of sparse control signal representation using the compressive…

Systems and Control · Computer Science 2015-06-16 Masaaki Nagahara , Takahiro Matsuda , Kazunori Hayashi

The success of the compressed sensing paradigm has shown that a substantial reduction in sampling and storage complexity can be achieved in certain linear and non-adaptive estimation problems. It is therefore an advisable strategy for…

Information Theory · Computer Science 2014-08-27 Peter Jung , Philipp Walk

The peak-to-mean envelope power ratio (PMEPR) of a code employed in orthogonal frequency-division multiplexing (OFDM) systems can be reduced by permuting its coordinates and by rotating each coordinate by a fixed phase shift. Motivated by…

Information Theory · Computer Science 2016-11-17 Kai-Uwe Schmidt

This paper investigates the problem of recovering the support of structured signals via adaptive compressive sensing. We examine several classes of structured support sets, and characterize the fundamental limits of accurately recovering…

Statistics Theory · Mathematics 2016-09-05 Rui M. Castro , Ervin Tánczos

This paper investigates radar-assisted user acquisition for downlink multi-user multiple-input multiple-output (MIMO) transmission using Orthogonal Frequency Division Multiplexing (OFDM) signals. Specifically, we formulate a concise…

Information Theory · Computer Science 2024-07-02 Yi Song , Fernando Pedraza , Shuangyang Li , Siyao Li , Han Yu , Giuseppe Caire

The theory of Compressed Sensing, the emerging sampling paradigm 'that goes against the common wisdom', asserts that 'one can recover signals in Rn from far fewer samples or measurements, if the signal has a sparse representation in some…

Information Theory · Computer Science 2013-11-01 Ankit Kundu , Pradosh K. Roy

Dynamic range limitations in signal processing often lead to clipping, or saturation, in signals. The task of audio declipping is estimating the original audio signal, given its clipped measurements, and has attracted much interest in…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-09 Pavel Záviška , Pavel Rajmic , Alexey Ozerov , Lucas Rencker

This paper considers compressed sensing and affine rank minimization in both noiseless and noisy cases and establishes sharp restricted isometry conditions for sparse signal and low-rank matrix recovery. The analysis relies on a key…

Information Theory · Computer Science 2013-10-23 T. Tony Cai , Anru Zhang

We present a novel approach to the problem of dual-functional radar and communication (DFRC) waveform design with adjustable peak-to-average power ratio (PAPR), while minimizing the multi-user communication interference and maintaining a…

Signal Processing · Electrical Eng. & Systems 2023-02-28 Ahmad Bazzi , Marwa Chafii

In this paper, we consider the problem of sparse signal detection based on partial support set estimation with compressive measurements in a distributed network. Multiple nodes in the network are assumed to observe sparse signals which…

Applications · Statistics 2016-08-10 Thakshila Wimalajeewa , Pramod K. Varshney

This paper considers a simple on-off random multiple access channel, where n users communicate simultaneously to a single receiver over m degrees of freedom. Each user transmits with probability lambda, where typically lambda n < m << n,…

Information Theory · Computer Science 2009-03-09 Alyson K. Fletcher , Sundeep Rangan , Vivek K Goyal

Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

Information Theory · Computer Science 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

Recent breakthrough results in compressive sensing (CS) have established that many high dimensional signals can be accurately recovered from a relatively small number of non-adaptive linear observations, provided that the signals possess a…

Information Theory · Computer Science 2013-10-17 Akshay Soni , Jarvis Haupt