The linear feed-forward register has the effect of convolving the serial input to the register with the sequence of combinational coefficients (see convolution). If the input is regarded as a polynomial in which powers of the indeterminate denote succession in time, and if the combinational coefficients are regarded likewise as a second polynomial, then the linear feed-forward register has the effect of multiplying these polynomials.
When used in coding or in digital signal processing, feed-forward registers may be binary or q-ary, and may be implemented in hardware or software.
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