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In this paper, a simpler and faster algorithm of discrete wavelet transform (DWT) for a digital signal processing (DSP) implementation is proposed and intensively tested. Applicability of real-time implementation of this algorithm is verified. The computational frame in this algorithm is independent on the sampling rate, but it depends on the length of the mother wavelet filters. Therefore, signal with any sampling rate can be analyzed with the same computational effort. This implementation algorithm is exploited to investigate the DWT response experimentally. Impact of the mother wavelet, sampling frequency, fault inception angle and the signal transients on the resulted DWT levels is evaluated from the protection perspectives. Considering the DSP channel noise, these factors are strongly affect DWT response especially in high details spike, which the most of the protection applications depended on. Shortcomings of DWT application for protection relays are outlined and corrective recommendations are included.