TY - JOUR AU - Troncoso Romero, David E. AU - Meyer-Baese, Uwe AU - Dolecek, Gordana Jovanovic PY - 2014 DA - 2014/08/05 TI - On the inclusion of prime factors to calculate the theoretical lower bounds in multiplierless single constant multiplications JO - EURASIP Journal on Advances in Signal Processing SP - 122 VL - 2014 IS - 1 AB - This paper presents an extension to the theoretical lower bounds for the number of adders and for the adder depth in multiplierless single constant multiplications (SCM). It is shown that the number of prime factors of the constants is key information to extend the current lower bounds in certain cases that have not yet been exposed. Additionally, the hidden theoretical lower bound for the number of adders required to preserve the minimum adder depth is revealed. SN - 1687-6180 UR - https://doi.org/10.1186/1687-6180-2014-122 DO - 10.1186/1687-6180-2014-122 ID - Troncoso Romero2014 ER -