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Since Fourier transforms for random stationary processes do not exist, the Wiener–Khinchin theorem obtains one of these values by taking the Fourier transform of the autocorrelation function. For 10 points each:
[10h] Name these values. Parseval’s theorem allows one to integrate a form of these values to obtain the average power of a signal.
ANSWER: spectral densities [or spectral density; accept power spectral density; accept energy spectral density; prompt on S; prompt on Sxx (“S-sub-x-x”); reject “density”]
[10m] This quantity for a signal can be defined as the range of frequency for which the power spectral density is nonzero. Taking the difference between the minimum and maximum frequencies emitted by a source gives this quantity.
ANSWER: bandwidth [or spectral linewidth]
[10e] The system bandwidth can be defined as a signal’s ability to reduce the bandwidth of this phenomenon. A constant spectral density is possessed by the “white” form of this phenomenon.
ANSWER: noise [accept background noise or white noise]
<Physics>
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TeamOpponentPart 1Part 2Part 3TotalParts
Arizona StateNorth Carolina B001010E
Chicago AToronto B10101030HME
Columbia AWinona State001010E
Cornell AMaryland001010E
FloridaYale001010E
Georgia StateStanford001010E
Georgia TechWaterloo B001010E
HarvardVanderbilt001010E
Illinois AChicago B10101030HME
LSENorth Carolina A001010E
MITCornell B001010E
MichiganBritish Columbia0101020ME
NorthwesternUCF001010E
Ohio StateUC Berkeley B10101030HME
OttawaWaterloo A0101020ME
RutgersVirginia001010E
Toronto ATexas10101030HME
Toronto CNYU001010E
UC Berkeley AColumbia B0101020ME
Virginia TechJohns Hopkins001010E
WUSTL AIllinois B0101020ME

Summary

TournamentExact Match?HeardPPBEasy %Medium %Hard %
2025 ACF NationalsYes2115.71100%38%19%