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432                                     Chapter 9 Synthesis of DSP Architectures


             (b) Determine the coefficient word
                lengths.
             (c) How many vector-processors are
                required?
             (d) How many input signals are
                there to the PEs?
         9.7 Implement the wave digital lattice
             filter discussed in Example 6.5 using
             a minimum number of vector-
             processors. Can the implementation
            be made maximally fast?

         9.8 (a) Determine the system of
                difference equations in
                numerically equivalent form for
                the lattice wave digital filter
                shown in Figure. P9.8.
                Symmetric adaptors are used.
                The adaptor coefficients are




             (b) Determine the number of vector-
                multipliers, the number of terms
                in each difference equation, and
                the coefficient word length
                needed to implement the filter.
                                                     Figure P9.6 Lattice WDF

         9.9 Show that a
             significant
             simplification can be
             obtained for the
             implementation in
             Problem 9.8 by
             explicitly computing
             outputs z/34 and ^54 of
             the adaptors instead
             of the outputs of the
             filter shown in
             Figure P9.8.

        9.10 A DSP algorithm is
             implemented using
            NPE bit-serial PEs
             with data word length
             WPE, The number of
             memories is NRAM
             each with word length          Figure P9.8 Lattice wave digital filter
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