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Application of a Real-Time Hadamard Transform Network to Sound Synthesis

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A Hadamard transform (HT) analyzes a waveform into Walsh Function spectral components in the same manner that a Fast Fourier transform (FFT) analyzes a waveform into sinewave components. In contrast to the FFT, a real time HT network is easy to construct from analog components as the flow graph does not involve complex number arithmetic. The separated Walsh spectral components can be manipulated in a variety of ways before applying them to the inverse transform and time ordering the output for an audio signal.

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AES - Audio Engineering Society