Biquad stage systems and methods include receiving at biquad sections a signal sample, generating, by each biquad section, a pair of output values based on the signal sample, including a first value based on fixed-point processing path and a second value emulating a floating-point processing path, and accumulating the pair of output values from each of the plurality of biquad sections to generate an output signal. The biquad stage receives an N-bit input signal, which is processed by a biquad section. Delay elements delay the signal sample before input to other biquad sections. The delayed signal sample is input to the first processing path and the second processing path of a corresponding biquad stage. By performing the processing based on two paths, a more accurate result can be found when using a reduced word length in the multiply operations resulting in a lowering of the power consumption.

A filter device includes: delay units serially connected to delay an input signal and output a delayed signal; multiplication units multiplying the delayed signal by a filter coefficient based on a predetermined value and a multiplying factor adjustment value; a coefficient adjustment unit that, when a multiplication result obtained by multiplying the predetermined value by the multiplying factor adjustment value exceeds a maximum value of a filter-coefficient representation range, divides the multiplication result exceeding the maximum value by the maximum value, and outputs a quotient of division as a coefficient adjustment value; a signal conversion unit outputting a signal obtained by adding after-filter-coefficient-multiplication signals outputted by the multiplication units and an adjusted signal obtained by adjusting a corresponding delayed signal using the coefficient adjustment value; and a division unit generating an output signal by dividing the signal outputted by the signal conversion unit by the multiplying factor adjustment value.

Biquad stage systems and methods include receiving at biquad sections a signal sample, generating, by each biquad section, a pair of output values based on the signal sample, including a first value based on fixed-point processing path and a second value emulating a floating-point processing path, and accumulating the pair of output values from each of the plurality of biquad sections to generate an output signal. The biquad stage receives an N-bit input signal, which is processed by a biquad section. Delay elements delay the signal sample before input to other biquad sections. The delayed signal sample is input to the first processing path and the second processing path of a corresponding biquad stage. By performing the processing based on two paths, a more accurate result can be found when using a reduced word length in the multiply operations resulting in a lowering of the power consumption.

A filter device includes: delay units serially connected to delay an input signal and output a delayed signal; multiplication units multiplying the delayed signal by a filter coefficient based on a predetermined value and a multiplying factor adjustment value; a coefficient adjustment unit that, when a multiplication result obtained by multiplying the predetermined value by the multiplying factor adjustment value exceeds a maximum value of a filter-coefficient representation range, divides the multiplication result exceeding the maximum value by the maximum value, and outputs a quotient of division as a coefficient adjustment value; a signal conversion unit outputting a signal obtained by adding after-filter-coefficient-multiplication signals outputted by the multiplication units and an adjusted signal obtained by adjusting a corresponding delayed signal using the coefficient adjustment value; and a division unit generating an output signal by dividing the signal outputted by the signal conversion unit by the multiplying factor adjustment value.