Toward the multiple constant multiplication at minimal hardware cost

R Garcia, A Volkova - … Transactions on Circuits and Systems I …, 2023 - ieeexplore.ieee.org
Multiple Constant Multiplication (MCM) over integers is a frequent operation arising in
embedded systems that require highly optimized hardware. An efficient way is to replace …

Optimal constant multiplication using integer linear programming

M Kumm - IEEE Transactions on Circuits and Systems II …, 2018 - ieeexplore.ieee.org
Constant multiplication circuits can be realized multiplierless by using additions,
subtractions, and bit-shifts. The problem of finding a multiplication circuit with minimum …

Table-based versus shift-and-add constant multipliers for FPGAs

F De Dinechin, SI Filip, M Kumm… - 2019 IEEE 26th …, 2019 - ieeexplore.ieee.org
The multiplication by a constant is a frequently used operation. To implement it on Field
Programmable Gate Arrays (FPGAs), the state of the art offers two completely different …

Dynamically reconfigurable FIR filter architectures with fast reconfiguration

M Kumm, K Möller, P Zipf - 2013 8th International Workshop on …, 2013 - ieeexplore.ieee.org
This work compares two finite impulse response (FIR) filter architectures for FPGAs for which
the coefficients can be reconfigured during run-time. One is a recently proposed filter …

Truncated multiple constant multiplication with minimal number of full adders

R Garcia, A Volkova, M Kumm - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
Many algorithms from digital signal processing, including digital filters or discrete transforms,
require the multiplications with several constants. These can be efficiently implemented …

[图书][B] Multiple constant multiplication optimizations for field programmable gate arrays

M Kumm, P Zipf - 2016 - Springer
As silicon technology advances, field programmable gate arrays appear to gain ground
against the traditional ASIC project starts, reaching out to form the mainstream …

Optimization of constant matrix multiplication with low power and high throughput

M Kumm, M Hardieck, P Zipf - IEEE Transactions on Computers, 2017 - ieeexplore.ieee.org
Constant matrix multiplication (CMM), ie, the multiplication of a constant matrix with a vector,
is a common operation in digital signal processing. It is a generalization of multiple constant …

Design of optimal multiplierless FIR filters with minimal number of adders

M Kumm, A Volkova, SI Filip - IEEE Transactions on Computer …, 2022 - ieeexplore.ieee.org
This work presents two novel methods that simultaneously optimize both the design of a
finite impulse response (FIR) filter and its multiplierless hardware implementation. We use …

Hardware-aware design of multiplierless second-order IIR filters with minimum adders

R Garcia, A Volkova, M Kumm… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
In this work we optimally solve the problem of multiplierless design of second-order Infinite
Impulse Response filters with minimum number of adders. Given a frequency specification …

Efficient structural adder pipelining in transposed form FIR filters

M Faust, M Kumm, CH Chang… - 2015 IEEE International …, 2015 - ieeexplore.ieee.org
Pipelining is a common method to implement high speed FIR filters. While the efficient
pipelining of multiplications is well understood, no attention has been paid on the pipelining …