A novel recursive algorithm for discrete Fourier transform (DFT) and its inverse transform (IDFT) is proposed in this brief. It was found that the proposed algorithm and its implementation outperformed other existing recursive algorithms. The proposed algorithm was found to 1) reduce multiplication computations by 50.5% using the symmetric identity of coefficients and a resource-sharing technique and register-splitting scheme; 2) decrease read-only memory sizes by 50% compared with conventional algorithms; 3) reduce the number of multipliers implemented by 80% compared with the latest algorithm; and 4) increase data throughput by 100% per transformation. This design is suitable for communication systems and digital radio mondiale (DRM) systems, such as dual-tone multifrequency detection and coded orthogonal frequency-division-multiplexing modulation. The algorithm was designed and fabricated using a 0.18 μm 1P6M complementary metal-oxide-semiconductor process. The core area is 397 × 388 μm 2 , including the DFT and IDFT modules. For modern applications (voice over packet and DRM), this processor only consumes 2.96 mW at 25 MHz. Furthermore, it can calculate the 212/165/106/288/256/176/112-point DFTs and IDFTs.
Five computer-synthesized broadband noises, each having the same average spectrum and the same unweighted Leq of 100 dB SPL but very different temporal structures, were used to produce hearing loss in chinchillas. Despite the same exposure energies and spectra, each noise exposure produced a different magnitude and frequency distribution of hearing loss and sensory cell loss. The results indicate that the statistical properties of a signal are important in the determination of hearing loss. When the audiometric and histological results are compared to a metric based upon kurtosis measured in the time and the frequency domain for each exposure, there is a clear indication that these statistical metrics are good predictors of the relative magnitude and frequency distribution of the acoustic trauma.
Five computer synthesized broadband noises, each having the same average spectrum and the same unweighted Leq of 100 dB SPL but very different temporal structures were used to produce hearing loss in chinchillas. Despite the same exposure energies and spectra, each noise exposure produced a different magnitude and frequency distribution of hearing loss and sensory cell loss. The results indicate that the statistical properties of a signal are important in the determination of hearing loss. When the audiometric and histological results are compared to a metric based upon kurtosis measured in the time and the frequency domain for each exposure, there is a strong indication that these matrices are good predictors of the magnitude and frequency distribution of the acoustic trauma. [Research sponsored by NIOSH Grant 2R010H02317.]
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