Research Article

Low-Complexity Inverse Square Root Approximation for Baseband Matrix Operations

Table 1

Estimated area in terms of GEs of arithmetic and logic units and LUTs in compared implementations.
(a)

Unit Operands GE

Inverter 1 0.75
XOR 1 × 1 2.25
Full adder 1 × 1 × 1 6.50
Adder 8 × 6 34.75
Adder 1 9 × 1 0 76.50
Adder 2 0 × 9 78.75
Multiplier 7 × 7 247.00
Multiplier 2 0 × 2 0 2047.00
Multiplier 2 2 × 2 3 2542.00
Multiplier 1 6 × 5 6 4254.50
Multiplier 5 6 × 5 6 14647.25
Multiplier 7 6 × 7 6 26590.00

(b)

LUT size GE

1 0 8 × 1 6 488.50
2 9 × 6 505.50
2 1 6 × 8 593.75
2 9 × 8 670.25
2 9 × 1 0 872.00
2 7 × 3 6 943.50
2 9 × 1 9 2258.75
8 2 1 × 2 2 3720.50
2 1 0 × 2 3 4740.50
2 1 0 × 2 5 5065.50
2 1 1 × 2 3 9334.75