Systems, methods, and apparatus for signal separation
A signal and equipment technology, applied in speech analysis, instruments, etc., can solve problems such as multipath, time delay, and frequency dependence
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[0050] The systems, methods, and devices disclosed herein are applicable to processing many different types of signals, including acoustic signals (e.g., speech, sound, ultrasound, sonar), physiological or other medical signals (e.g., electrocardiogram, electroencephalogram, magnetoencephalography) and imaging and / or ranging signals (eg, magnetic resonance, radar, seismometry). Applications for such systems, methods and devices include use in speech feature extraction, speech recognition and speech processing.
[0051] In the following description, the symbol i is used in two different ways. When used as a factor, the symbol i represents the imaginary square root of -1. The symbol i is also used to indicate an index, such as a column of a matrix or an element of a vector. Both uses are common in the art, and a skilled artisan will recognize which of the two uses is desired depending on the context in which each instance of the symbol i occurs.
[0052] In the following desc...
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