EL ENG 16A Study Guide - Midterm Guide: Linear Combination, Hyperbolic Partial Differential Equation, Cross-Correlation

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In discrete time, the time delay is a shift. Overview: distances to each satellite/beacon can be determined based on the delay between the times at which we receive each signal (each of the beacon"s signals) Cross correlation: cross correlate the signal sent from each beacon with the received signal to locate delay. Overview of this step: performing cross-correlation of the received signal with the beacon transmitted signals tells us the time when the beacon signal arrives at th e object/microphone. The final received signal is a linear combination of the sub -received signals sent from all beacons. We shift the signals transmitted from each beacon (we know what each beacon transmits and we know our received signal) The inner product of each shifted signal with the received signal is larger if the shifted signal is in the received signal. Each shifted signal is orthogonal to the other shifted signals from the same.

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