A pixel in a SAR image looks like 9+5i. Calculate its phase ɸ (in degrees). 60.95 - 60.98 28.90 - 29.10 28.10 - 28.30 60.93 - 60.95
Question
A pixel in a SAR image looks like 9 + 5i. Calculate its phase (in degrees).
- 60.95 - 60.98
- 28.90 - 29.10
- 28.10 - 28.30
- 60.93 - 60.95
Solution
The phase of a complex number a + bi is calculated using the formula Φ = atan2(b, a). In this case, a = 9 and b = 5.
Step 1: Plug the values into the formula Φ = atan2(5, 9)
Step 2: Use a calculator to find the arctangent of 5/9. The result is approximately 0.50798 in radians.
Step 3: Convert the result from radians to degrees by multiplying by 180/π.
Φ = 0.50798 * (180/π) ≈ 29.1 degrees
So, the phase of the complex number 9 + 5i is approximately 29.1 degrees. Therefore, the correct answer is 28.90 - 29.10.
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