Search Results for author: Piya Pal

Found 8 papers, 0 papers with code

Sparse Spatial Smoothing: Reduced Complexity and Improved Beamforming Gain via Sparse Sub-Arrays

no code implementations10 Mar 2024 Yinyan Bu, Robin Rajamäki, Anand Dabak, Rajan Narasimha, Anil Mani, Piya Pal

This paper addresses the problem of single snapshot Direction-of-Arrival (DOA) estimation, which is of great importance in a wide-range of applications including automotive radar.

Importance of array redundancy pattern in active sensing

no code implementations13 Jan 2024 Robin Rajamäki, Piya Pal

In this paper, we show that two array geometries with identical sum co-arrays, and the same number of physical and virtual sensors, need not achieve equal identifiability, regardless of the choice of waveform of a fixed reduced rank.

Harnessing Holes for Spatial Smoothing with Applications in Automotive Radar

no code implementations12 Jan 2024 Yinyan Bu, Robin Rajamäki, Pulak Sarangi, Piya Pal

We explore deliberately introducing holes into this virtual array to leverage resolution gains provided by the increased aperture.

Effect of Beampattern on Matrix Completion with Sparse Arrays

no code implementations12 Jan 2024 Robin Rajamäki, Mehmet Can Hücümenoğlu, Pulak Sarangi, Piya Pal

In this paper, we make advances towards solidifying this understanding by revealing the role of the physical beampattern of the sparse array on the performance of low rank matrix completion techniques.

Low-Rank Matrix Completion

Array-Informed Waveform Design for Active Sensing: Diversity, Redundancy, and Identifiability

no code implementations10 May 2023 Robin Rajamäki, Piya Pal

We derive necessary and sufficient conditions that the array geometry and transmit waveforms need to satisfy for the Kruskal rank -- and hence identifiability -- to be maximized.

Super-resolution with Sparse Arrays: A Non-Asymptotic Analysis of Spatio-temporal Trade-offs

no code implementations4 Jan 2023 Pulak Sarangi, Mehmet Can Hucumenoglu, Robin Rajamaki, Piya Pal

Our results also formally prove the well-known empirical resolution benefits of sparse arrays, by establishing that the minimum separation between sources can be $\Omega(1/P^2)$, as opposed to separation $\Omega(1/P)$ required by a ULA with the same number of sensors.

Super-Resolution

Super-resolution with Binary Priors: Theory and Algorithms

no code implementations4 Jan 2023 Pulak Sarangi, Ryoma Hattori, Takaki Komiyama, Piya Pal

Distinct from prior works which exploit sparsity in appropriate domains in order to solve the resulting ill-posed problem, this paper explores the role of binary priors in super-resolution, where the spike (or source) amplitudes are assumed to be binary-valued.

Super-Resolution

Sampling Requirements for Stable Autoregressive Estimation

no code implementations4 May 2016 Abbas Kazemipour, Sina Miran, Piya Pal, Behtash Babadi, Min Wu

Assuming that the parameters are compressible, we analyze the performance of the $\ell_1$-regularized least squares as well as a greedy estimator of the parameters and characterize the sampling trade-offs required for stable recovery in the non-asymptotic regime.

Model Selection

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