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Chapter 5. Finite Word Length Effects - Pg. 187

FINITE WORD LENGTH EFFECTS 5.1 INTRODUCTION In order to implement a recursive algorithm, all sequence values and coefficients must be represented with a finite word length. The effect of finite word length depends on the filter structure, pole-zero configuration, representation of negative numbers, rounding or truncation of products, overflow characteristics, and the input signal. Finite word length gives rise to a large number of phenomena caused by different types of nonlinearities. · Overflow of the number range: Large errors in the output signal occur when the available number range is exceeded--overflow. Overflow