Cardiac signals are now used to detect heart abnormalities early. One of the influential factors in diagnosing the condition of patients is the presence of unwanted noise in these signals, which has led to various algorithms for their optimization, each of which has advantages and disadvantages. Due to the increasing use of the water wave algorithm in various problems and the superiority of its results over other algorithms in the present study, the use of the water wave algorithm has been suggested to optimize ECG signal errors. The results from the simulations performed in MATLAB software indicate that this algorithm is more accurate in eliminating ECG signal noise than previous methods, the proposed method improved the execution time by about 12.45 times, from 18.18 ms to 1.46 ms on average. Moreover, the quality of the PRD is rated as very good (0%–2%) or good (2%–9%). Also, the existing linear approximation method has an outstanding approximation error (within 2%).