(2 p.m. - 3 p.m.)

**Ambar Sengupta**

**Louisiana State University**

**Representing Quantum Mechanics: ideas from Frobenius to Heisenberg and von Neumann**

Quantum mechanics as formulated by Heisenberg is based on certain commutation relations between operators. It was shown by von Neumann that these canonical commutation relations have an essentially unique representation in terms of concretely specified operators. In this talk we will describe the intellectual backdrop to von Neumann's proof, an intertwining of ideas developed by Frobenius, Weyl, Heisenberg, and others.

Sponsored by the Department of Mathematical Sciences

]]>(3 p.m. - 4 p.m.)

Naofal Al-Dhahir

Electrical Engineering

UT Dallas

Applications of Sparse Signal Recovery in Broadband Communications

In this talk, I will describe two novel applications of sparse signal recovery in broadband wireless and wireline communications. In the first wireless application, I will show how to estimate and cancel a frequency-hopping 1 MHz Bluetooth signal interfering with a 20 MHz WiFi signal in the unlicensed 2.4 GHz frequency band.In the second wireline application, I will consider a vectored DSL backhaul link using a 25 copper-twisted-pairs cable binder. Crosstalk between the twisted pairs severely limits the achievable data rate. I will describe a sparsity-constrained signal processing approach to achieve near crosstalk-free performance using a reduced-complexity sparse digital crosstalk canceller/equalizer

Sponsored by the Department of Mathematical Sciences

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