To determine which statement is always true for a Linear Phase FIR Filter, let's analyze each option:

1. POLES of the filter are always in Reciprocal Order: This statement is not always true for a Linear Phase FIR Filter. The poles of a filter can be located anywhere in the complex plane and do not necessarily follow a reciprocal order.

2. POLES and ZEROs of the filter are always equal in number: This statement is not always true for a Linear Phase FIR Filter. The number of poles and zeros in a filter can vary and do not have to be equal.

3. POLES & ZEROs of the filter are always in Reciprocal Order: This statement is not always true for a Linear Phase FIR Filter. The poles and zeros of a filter can be located anywhere in the complex plane and do not necessarily follow a reciprocal order.

4. ZEROs of the filter are always in Reciprocal Order: This statement is always true for a Linear Phase FIR Filter. In a Linear Phase FIR Filter, the zeros are always symmetrically located with respect to the origin in the complex plane, which means they are in reciprocal order.

Therefore, the correct answer is: ZEROs of the filter are always in Reciprocal Order.

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To determine which statement is always true for a Linear Phase FIR Filter, let's analyze each option:

1. POLES of the filter are always in Reciprocal Order: This statement is not always true for a Linear Phase FIR Filter. The poles of a filter can be located anywhere in the complex plane and do not necessarily follow a reciprocal order.

2. POLES and ZEROs of the filter are always equal in number: This statement is not always true for a Linear Phase FIR Filter. The number of poles and zeros in a filter can vary and do not have to be equal.

3. POLES & ZEROs of the filter are always in Reciprocal Order: This statement is not always true for a Linear Phase FIR Filter. The poles and zeros of a filter can be located anywhere in the complex plane and do not necessarily follow a reciprocal order.

4. ZEROs of the filter are always in Reciprocal Order: This statement is always true for a Linear Phase FIR Filter. In a Linear Phase FIR Filter, the zeros are always symmetrically located with respect to the origin in the complex plane, which means they are in reciprocal order.

Therefore, the correct answer is: ZEROs of the filter are always in Reciprocal Order.

Knowee AI · Accepted Answer

To determine which statement is always true for a Linear Phase FIR Filter, let's analyze each option:

1. POLES of the filter are always in Reciprocal Order: This statement is not always true for a Linear Phase FIR Filter. The poles of a filter can be located anywhere in the complex plane and do not necessarily follow a reciprocal order.

2. POLES and ZEROs of the filter are always equal in number: This statement is not always true for a Linear Phase FIR Filter. The number of poles and zeros in a filter can vary and do not have to be equal.

3. POLES & ZEROs of the filter are always in Reciprocal Order: This statement is not always true for a Linear Phase FIR Filter. The poles and zeros of a filter can be located anywhere in the complex plane and do not necessarily follow a reciprocal order.

4. ZEROs of the filter are always in Reciprocal Order: This statement is always true for a Linear Phase FIR Filter. In a Linear Phase FIR Filter, the zeros are always symmetrically located with respect to the origin in the complex plane, which means they are in reciprocal order.

Therefore, the correct answer is: ZEROs of the filter are always in Reciprocal Order.

Which of the following is always True for a Linear Phase FIR Filter ?Select one:POLES of the filter are always in Reciprocal Order.POLES and ZEROs of the filter are always equal in number. POLES & ZEROs of the filter are always in Reciprocal Order.ZEROs of the filter are always in Reciprocal Order.

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