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Differential Equations Solutions 32

Differential Equations Solutions 32 - new = £ f X x ¤ f...

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42 Chapter 8. Solutions: Case Study: The Direction-of-Arrival Problem 0 100 200 300 400 500 600 700 0 5 10 15 20 25 30 Results using rectangular windowing Figure 8.1. Results of Challenge 3: the true DOA (blue) and the DOA estimated by rectangular windowing (red) as a function of time. CHALLENGE 8.3. The results are shown in Figure 8.1. The average error in the angle estimate is 0 . 62 degrees, and the average relative error is 0 . 046. The estimated DOAs are quite reliable except when the signals get very close. CHALLENGE 8.4. X
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Unformatted text preview: new = £ f X x ¤ · f X ∗ x ∗ ¸ = f 2 XX ∗ + xx ∗ . The matrix XX ∗ has 4 m 2 entries, so multiplying it by f 2 requires O ( m 2 ) mul-tiplications. The number of multiplications needed to form xx ∗ is also O ( m 2 ) multiplications. CHALLENGE 8.5. The results are shown in Figure 8.2. The average error in the angle estimate is 0 . 62 degrees, and the average relative error is 0 . 046. The results are quite similar to those for rectangular windowing....
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