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18 July, 02:46

For a signal that is time limited to 10 ms and has an essential bandwidth of 10 KHz, determine, the number of signal samples necessary to compute a power-of-2 FFT with a frequency resolution of 50 Hz. Explain whether any zero padding is necessary.

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  1. 18 July, 03:16
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    Answer: 500000 samples

    zero padding is necessary.

    Explanation: To determine the number of signal samples

    Time = 10ms with bandwidth of 10kHz

    Number of sample = 10*10^3*50

    Number of sample = 5000000

    The two reasons to zero pad are:

    1). We must consider speed. A sample size that is a power of two is going to be the fastest possible. A sample size that is factorizable into small primes is a little slower. A prime number is slowest. However, for modern computers and a sample size on the order of 10,000

    Now, if you want to do 100,000,000 sample sizes, then maybe it makes a difference.

    2). The second reason to zero pad an FFT is to a little better frequency resolution.
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