Introduction Arithmetic Quantization Error-For the first-order digital filter,the desired output of the multiplier is vIn]=ay(n-1] Due to product quantization,the actual output of the multiplier of the implemented filter is n]ayIn-1]+ea[n]=v[n]+ealn] where ealn]is the product roundoff errorIntroduction • Arithmetic Quantization Error - For the first-order digital filter, the desired output of the multiplier is v[n] =αy[n −1] v[n] y[n 1] e [n] v[n] e [n] = α − + α = + α ^ where eα[n] is the product roundoff error • Due to product quantization, the actual output of the multiplier of the implemented filter is