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Task Phase Period Time/Exec Relative Processing ID (ms) (ms) (ms) Deadline Primitive 1 0 250 16.4545 250 FLW 2 0 250 30.1303 250 BDFC 3 0 250 29.5265 250 CRSPECANAL 4 0 250 28.9868 250 DIFARDAD 5 0 250 28.732 250 CRFIL 6 0 250 18.3458 250 CRSPECANAL 7 0 250 27.8355 250 CRDETECT 8 0 500 21.5489 500 ALLBANDMERGE 9 0 500 15.6489 500 GRAMMERGE 10 0 2000 18.5644 2000 ALI 11 0 6000 20.3569 6000 AUTODETECT Table 1: Synchronous signal processing task set for a 200MHz 603e PowerPC. 2. (50 points) Consider the synchronous task set shown in Table 1 (on the next page). This task set comes from an embedded signal processing application for an anti-submarine warfare (ASW) system. More specifically, the task set is a subset of the tasks that implement the Directed Low Frequency analysis and Recording (DLFAR) acoustic signal processing application from the Airborne Low Frequency Sonar (ALFS) system of the U.S. Navy's SH-60B LAMPS MK III anti-submarine helicopter. The ALFS system processes low frequency signals received by the sonobuoys in the water. Its primary function is to detect and track submarines and calculate range and bearing estimates to each target. The task set shown in Table 1 represents an implementation of a portion of the DLFAR application on a mercury PowerPC OU VME board with a 200MHz 603e processor. This portion of the DLFAR application process 5 bands of Constant Resolution (CR) data from each of 5 sonobuoys. In this assignment, we will assume all tasks are independent. a. (5 pts) For all i, where 5

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