Page 261 - DSP Integrated Circuits
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246                                                Chapter 6 DSP Algorithms





















                       Figure 6.29 Signal-flow graph with two directed loops



            Figure 6.29 shows a fully specified signal-flow graph that may be a part of a
        larger graph. The signal-flow graph has two loops. Loop 1 is the critical loop if





        otherwise loop 2 is the critical loop. This ordering of the additions is often the most
        favorable one.



        EXAMPLE 6.5

            The filter shown in Figure 6.30 has been implemented using so-called
        redundant, bit-parallel arithmetic in which long carry propagations are avoided
        [11]. The results obtained using a 2-um, double metal CMOS process were

            Input data word length, 8 bit
            Output data word length, 11 bit
            Maximum sample rate, ~ 35 MHz
            Number of devices, ~ 9000
            Power consumption, 150 mW
                             2
            Chip area, 14.7 mm  (including pads)
            We will later discuss alternative
        implementations of this filter aimed at
        video applications. The filter is a lowpass
        filter, but it can also be used as a highpass
        filter as well as for decimation or interpo-
        lation of the sample frequency by a factor
        two, with minor changes in the hardware.
        Determine the maximum sample fre-
        quency for the filter. The adaptor coeffi-  Figure 6.30 Third-order lattice
        cient is a = 0.375 = (0.011) 2.                     wave digital filter.
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