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170                                                  Chapter 4 Digital Filters


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            Using Equations (4.8) through (4.10), with 81 « 0.0288 and §2 « 10~ , the
        required filter length is estimated to N = 24. Note that the filter only needs to have
        a large attenuation in frequency bands where unwanted images appear. The fre-
        quency bands between these image bands are called don't-care bands. We get


                                    Band 1      Band 2      Band 3





















            The magnitude response is shown in Figure 4.62. Note the don't-care band
        between the two stopbands.




































                   Figure 4.62 Magnitude response of the interpolating FIR filter
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