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The frequency sampling design method is attractive when FIR filter is realized in the frequency domain by means of DFT.Select one:TrueFalse

Question

The frequency sampling design method is attractive when FIR filter is realized in the frequency domain by means of DFT. Select one: True False

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Solution

The frequency sampling design method is attractive when FIR filter is realized in the frequency domain by means of DFT.

Step 1: Understand the concept of frequency sampling design method. This method is used to design FIR filters in the frequency domain using the discrete Fourier transform (DFT).

Step 2: Determine if the FIR filter needs to be realized in the frequency domain. This can depend on the specific requirements of the application and the desired characteristics of the filter.

Step 3: If the FIR filter needs to be realized in the frequency domain, consider using the frequency sampling design method. This method allows for direct control over the frequency response of the filter by specifying the desired magnitude response at specific frequencies.

Step 4: Implement the frequency sampling design method using the DFT. This involves sampling the desired frequency response at equally spaced frequencies and then using the inverse DFT to obtain the filter coefficients.

Step 5: Evaluate the performance of the designed FIR filter. This can be done by analyzing its frequency response, impulse response, and other relevant characteristics.

Step 6: Make any necessary adjustments or refinements to the filter design if the performance is not satisfactory. This may involve modifying the desired frequency response or using different sampling points.

Step 7: Once the desired performance is achieved, implement the FIR filter in the frequency domain using the obtained filter coefficients.

In conclusion, the frequency sampling design method is attractive when FIR filters need to be realized in the frequency domain using the DFT.

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