Stratix GX Architecture
You can use the two-multipliers adder mode for complex multiplications,
which are written as:
(a + jb) × (c + jd) = [(a × c) – (b × d)] + j × [(a × d) + (b × c)]
The two-multipliers adder mode allows a single DSP block to calculate
the real part [(a × c) – (b × d)] using one subtractor and the imaginary part
[(a × d) + (b × c)] using one adder, for data widths up to 18 bits. Two
complex multiplications are possible for data widths up to 9 bits using
four adder/subtractor/accumulator blocks. Figure 4–37 shows an 18-bit
two-multipliers adder.
Figure 4–37. Two-Multipliers Adder Mode Implementing Complex Multiply
DSP Block
18
18
A
36
18
18
18
C
B
37
Subtractor
(A × C) − (B × D)
(Real Part)
18
36
18
18
18
D
A
36
36
18
18
D
B
37
Adder
(A × D) + (B × C)
(Imaginary Part)
18
C
Four-Multipliers Adder Mode
In the four-multipliers adder mode, the DSP block adds the results of two
first -stage adder/subtractor blocks. One sum of four 18 × 18-bit
multipliers or two different sums of two sets of four 9 × 9-bit multipliers
can be implemented in a single DSP block. The product width for each
multiplier must be the same size. The four-multipliers adder mode is
useful for FIR filter applications. Figure 4–38 shows the four multipliers
adder mode.
Altera Corporation
February 2005
4–63
Stratix GX Device Handbook, Volume 1
ALTERA [ ALTERA CORPORATION ]
