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this video demonstrates the lookup table optimization capability to approximate a function with an optimal lookup table lets say youre designing an algorithm for an FPGA and you have a complicated mathematical function as shown here with square root and divide operations computing this is not very efficient in terms of resource utilization on the FPGA we can replace it with a lookup table first set up the lookup table optimization problem for the function we can specify the bounds of the input the word length search space in this case we are limiting to 16 18 and 24 bits from FPGA next I need to specify the relative and absolute tolerances to make sure that the quantization is acceptable now I can solve this optimization problem and you can see the optimization runs the different table sizes word lengths different breakpoint spacing options once the optimization problem is solved we can explore the best solution comparing the numerical behavior against the floating-point behavior you