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GC4016 Datasheet(PDF) 18 Page - Texas Instruments |
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GC4016 Datasheet(HTML) 18 Page - Texas Instruments |
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18 / 83 page ![]() © GRAYCHIP,INC. - 13 - August 27, 2001 GC4016 MULTI-STANDARD QUAD DDC CHIP DATA SHEET REV 1.0 This document contains information which may be changed at any time without notice channels, or as two segments of 32 complex words each to support 2 resampler channels, or as a single segment of 64 complex words to support a single resampler channel. The number of segments is set by NCHAN in address 16 of the resampler control page. The interpolation filter zero pads the input data by a factor of NDELAY and then filters the zero padded data using a QTAP length filter. The output of the QTAP filter is then decimated by a factor of NDEC. The resampling ratio for each channel is determined by setting the 32 bit RATIO controls in addresses 16 through 31 of the resampler ratio page. The value of RATIO is defined as: Up to four ratios can be stored within the chip. A ratio map register (address 23) selects which ratio is used by each channel. The three spectral plots shown in Figure 13 illustrate the steps required to resample the channel data. The first spectral plot shows the data just after zero padding. The sample rate after zero padding is NDELAY*FS, where FS is the sample rate into the resampler. The second spectrum shows the shape of the QTAP filter which must be applied to the zero padded data in order to suppress the interpolation images. The last spectrum shows the final result after decimating by NDEC. 3.5.2 The Resampler Filter Figure 13(b) illustrates the spectral shape requirements of the QTAP filter. If the desired signal bandwidth is B, then the filter’s passband must be flat out to B/2 and the filter’s stop band must start before FS-B/2. The user designs this filter assuming a sample rate equal to NDELAY*FS. Section 7.7 contains example resampler filters coefficient sets. Other passband and stopband responses can be used, such as root raised cosine receive filters, as desired. The resampler filter can also be used to augment the CIC, CFIR and PFIR filters’ spectral response. The number of filter coefficients, QTAP, is equal to NMULT*NDELAY, where NMULT is the number of multiplies available to compute each resampler output, and NDELAY is either 4, 8, 16, 32 or 64 as will be described later. The maximum filter length is 512. The user specifies NMULT in address 17 of the resampler control page. The filter can be symmetric, or non-symmetric, as selected by the NO_SYM_RES control in address 17 of the resampler control page. The symmetric filter is of even length which means the center tap repeats. RATIO 2 26 NDEC NDELAY ------------------------ 2 26 INPUT SAMPLE RATE OUTPUT SAMPLE RATE -------------------------------------------------------------------- = = -FS/2 FS/2 -FS FS NDELAY Images added by zero padding QTAP Filter a) Spectrum after zero padding Images reduced by Filtering Power Frequency Response In-band aliasing caused by decimation by NDEC 2FS 3FS Freq ... -2FS -3FS ... -FS/2 FS/2 -FS FS b) Spectrum after filtering Power 2FS 3FS Freq ... -2FS -3FS ... -FO/2 FO/2 -FO FO=(NDELAY/NDEC)FS c) Final Spectrum after decimating by NDEC Power Freq Figure 13. The Resampler’s Spectral Response |
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