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In this paper a new time-frequency transform based on the constant-Q transform, named as adaptive quality frequency transform (AQFT), is proposed. The AQFT is a non-uniform transform with logarithmically spaced center frequencies. The CQT offers a computational disadvantage due to the large number of samples needed to assure the quality and the desired resolution at the lower frequency range. The AQFT addresses this problem precisely and limits the number of samples required by a comparable frequency division. Finally, computer simulations are provided to illustrate the performance of the proposed algorithm. According to the simulation results, the accuracy and the processing time of the AQFT and of traditional time-frequency analysis methods such as the Fast Fourier Transform (FFT), the Signal Derivate FFT (SD-FFT) and the wavelet packet transform (WPT) are contrasted.