Source localization Consider source localization using clusters of sensors. Shown in Figure 8.33 are the source and two clusters of sensors located at coordinates (0,0) and (1,0). Using the beamforming technique discussed in Chapter 7, the two clusters of sensors are able to determine that the arrival angles of source waves are and as depicted in the figure.

(a) Determine the location of the source (x,y) as a function of and .

(b) Suppose there is a small error in the measurement of . Determine the resulting error x in x. Comment on how the values of and affect x.

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y Source Sensor Sensor x Figure 8.33 Source localization.