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In cascade form of realization, how many bits should be used to represent the FIR filter coefficients in order to avoid the quantization effect on filter coefficients?

In cascade form of realization, how many bits should be used to represent the FIR filter coefficients in order to avoid the quantization effect on filter coefficients? Correct Answer 12 to 14

FIR filter realization:

  • Generally, digital FIR filters are designed such that they have linear phase characteristics in the passband. If FIR filters are realized using direct from realization then the linear phase is maintained even when the quantization of filter coefficients is done.
  • That means the quantization does not affect the phase characteristics of the FIR filter but it affects the magnitude response.
  • To avoid this effect, the cascade form realization should be used and 12 to 14 bits should be used to represent the coefficients.
  • Similarly, the number of bits per coefficient must be increased to maintain the same error in the frequency response characteristic of the filter.

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