Roundoff Noise in Fixed-Point Recursive Digital Filters.
Dale John Mayer · Defense Technical Information Center (DTIC) · 1976
Digital filtering techniques are very appealing where complex signal processing is desired. A major problem with digital filters however is the effect of quantization errors due to finite precision arithmetic. This report is concerned with roundoff errors (due to truncation or rounding) occurring after each multiplication in linear shift-invariant fixed-point recursive digital filters. The accumulation of these errors appears as noise (error uncorrelated) or limit cycles(correlated errors) at the filter output thus limiting the dynamic range of the filter operating with a given wordlength. (Author)