In implementing a digital filter with fixed-point arithemetic, additions may cause overflows to occur. In order to avoid overflows, the input signal may be attenuated suitably so that no overflows occur at any point in the filter. But this results in ...
In implementing a digital filter with fixed-point arithemetic, additions may cause overflows to occur. In order to avoid overflows, the input signal may be attenuated suitably so that no overflows occur at any point in the filter. But this results in a low output signal-to-noise ratio. Lp Norm is the theoretical basis for scaling the signal level at different node in a digital filter to avoid overflows.
The purpose of this paper is to describe a systematic procedure for scaling wave digital filter to avoid overflow problems while maintaining a signal-to-noise ratio as large as possible.
The scaled WDF have an improved signal-to-noise ratio over unscaled WDF without overflow.