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For a Linear Phase FIR filter, if   Phase Value =-2w, Then what would be the order of filter ?Select one:Order = 5 Order = 2Order = 4Order = 3

Question

For a Linear Phase FIR filter, if

Phase Value = -2w, Then what would be the order of filter ?
Select one:

  • Order = 5
  • Order = 2
  • Order = 4
  • Order = 3
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Solution

To determine the order of a Linear Phase FIR filter, we need to analyze the given phase value. In this case, the phase value is -2w.

The phase value of a Linear Phase FIR filter is given by the equation: Phase Value = -2πfk, where f is the frequency and k is the filter order.

Comparing this equation with the given phase value, we can equate them: -2w = -2πfk.

By simplifying the equation, we get: w = πfk.

From this equation, we can see that the order of the filter, k, is inversely proportional to the frequency, w.

Since the phase value is -2w, we can substitute this value into the equation: -2w = πfk.

Simplifying further, we get: -2 = πfk.

From this equation, we can see that the order of the filter, k, is equal to -2/πf.

Therefore, the order of the filter is not a whole number.

None of the given options (Order = 5, Order = 2, Order = 4, Order = 3) match the calculated order.

This problem has been solved

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