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Signal Processing

Signal Processing:

Signal processing is a branch of applied statistics concerned with analysis of functions of time that take on scalar or vector values. The functions are normally mixtures of a signal and a noise . A broad range of topics are considered in signal processing, including estimation of the signal parameters, hypothesis testing (e.g. detection of signals), filtering .

For example, the records of voltage Math image at the output of Math image sensors (like antennas or microphones) make a vector signal that is normally an additive mixture of a signal and noise


  • Math image is the signal, that is often a known function of Math image and Math image ;
  • Math image is the vector of unknown parameters, for example, coordinates Math image of the signal source in space;
  • Math image is the vector of noise .

Common problems in signal processing are estimation of parameters Math image , or testing some hypothesis about the values of these parameters.

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