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548                                        Chapter 12 Integrated Circuit Design


        size is therefore increased to 7.5 x 7.5 mm to accommodate this large number of
        pads. The required die size, including pads and the necessary scribe margin
        between the dice, is

                                ADCT = 7.5 x 7.5 = 56 mm 2
            Hence, about 20% of the die is used for active circuitry. A more efficient design
        would involve either multiplexing I/O pins or possibly including more of the sys-
        tem functions on the chip. Often special, small pads are used for pin-limited chips
        to reduce the chip area.
            The power consumption at 5 V is estimated to be 50 mW for the control unit,
        60 mW for each RAM, 50 mW for each parallel/serial converter, 30 mW for the
        clock, and 170 mW for each distributed arithmetic unit. The total power consump-
        tion is estimated to be
                        P = 50 + 4 • 60 + 2 • 50 + 30 + 16 • 170 » 3.2 W


        12.6 INTERPOLATOR, CONT.

        The adaptor coefficients are 9 bits and the data word length is 21 bits. The floor
        plan for the adaptor is shown in Figure 12.16. The main area is occupied by the
        multiplier. The serial/parallel multiplier is based on the circuit shown in Figure
        11.34. The execution time is

                             T PE = (max{(W c + 2), W d] + 3) T CL
            Also a ROM is needed for the six coefficients in each adaptor. However, the
        area for this ROM is insignificant. Allowing only 30% overhead for routing, etc., a
        9-bit adaptor requires
                                                         2
                              ^adaptor * 0.9 x 0.3 - 0.27 mm




















                Figure 12.16 Floor plan for a 9-bit two-port adaptor using TSPC logic

                           2
        Thus, less than 2 mm  is needed for the four PEs in the interpolator.
            Two memories are required for the interpolator: one with five 21-bit words
        and the other with ten 21-bit words. Figure 12.17 shows the floor plan for the first
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