Short note on finite word length effect in digital filters.

• Digital Signal Processing the computations like FFT algorithm, ADC and filter designs are associated with numbers and coefficients.

• These numbers and coefficients are stored in a finite length registers but due to mathematical manipulations perform with fixed point arithmetic number of errors are present by storing the numbers and coefficients are required to quantize the different type of number representations are used for this purpose.

• The implementation of digital filters involves the use of finite precision arithmetic. This leads to quantization of the filter coefficients and the results of the arithmetic operations. Such quantization operations are nonlinear and cause a filter response substantially different from the response of the underlying infinite-precision model.

• Finite word length of the signals to be processed the finite word length of the filter coefficients does not affect the linearity of the filter behavior. This effect only amounts to restrictions on the linear filter characteristics, resulting in discrete grids of pole-zero patterns.

• These effects, which divide into those due to "signal quantization" and those due to "overflow".

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