  In this paper, a group of finite sequences and its variants were proposed to
use in conducting signal analysis; we called the developed signal analysis
methods arbitrary discrete Fourier analysis (ADFA), Mel-scale discrete Fourier
analysis (MDFA) and constant Q analysis (CQA). The effectiveness of three
signal analysis methods were then validated by testing their performance on a
replayed speech detection benchmark (i.e., the ASVspoof 2019 Physical Access)
along with a state-of-the-art model. Comparable performance to the best
reported systems were shown by the experimental results with three signal
analysis methods. Furthermore, the CQA method shown its efficiency with less
computation time in compared to the convention method constant Q transform
(CQT), which is commonly used in spoofed and fake speech detection and music
processing.
