Mathematics Colloquium

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Signal Fragmentation for Low Frequency Radio Transmission

Speaker: Russ Caflisch, NYU, CIMS

Location: Warren Weaver Hall 1302

Date: Monday, September 25, 2017, 3:45 p.m.

Synopsis:

Signal fragmentation is a method for transmitting a low frequency
signal over a collection of small antennas through (one level of) a
wavelet expansion. We analyze the spectral leakage and energy
efficiency of signal fragmentation. For a special choice of wavelet
the spectral leakage can be minimized for bandlimited or AM signals,
and it can be eliminated for sinusoidal signals. We also derive the
optimal wavelet for energy efficiency.