Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Design of Spectrally Shaped Binary Sequences via Randomized Convex
  Relaxation   Wideband communication receivers often deal with the problems of detecting
weak signals from distant sources received together with strong nearby
interferers. When the techniques of random modulation are used in communication
system receivers, one can design a spectrally shaped sequence that mitigates
interferer bands while preserving message bands. Common implementation
constraints require sequence quantization, which turns the design problem
formulation to an integer optimization problem solved using a semidefinite
program on a matrix that is restricted to have rank one. Common approximation
schemes for this problem are not amenable due to the distortion to the spectrum
caused by the required quantization. We propose a method that leverages a
randomized projection and quantization of the solution of a semidefinite
program, an approach that has been previously used for related integer
programs. We provide a theoretical and numerical analysis on the feasibility
and quality of the approximation provided by the proposed approach.
Furthermore, numerical simulations show that our proposed approach returns the
same sequence as an exhaustive search (when feasible), showcasing its accuracy
and efficiency. Furthermore, our proposed method succeeds in finding suitable
spectrally shaped sequences for cases where exhaustive search is not feasible,
achieving better performance than existing alternatives.

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The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin