The goal of this paper is to develop mathematical models for feedback and feedforward compressors. A couple of possible configurations are explored: linear-output RMS detector with linearly-controlled VCA (linear-domain compressor) and logarithmic-output RMS detector with exponentially-controlled VCA (log-domain compressor). It is shown that the transfer functions of both configurations are equivalent. A formula for transforming the compression ratio of a log-domain compressor to that of a linear-domain compressor is derived. The differences between feedforward and feedback compressor configurations, with regard to time constants and performance, are considered.
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