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SINUSOIDAL RESPONSE OF DIGITAL FILTERS WITH TWO’S COMPLEMENT ARITHMETIC

In Chapter 6 we looked at nonlinear behaviors exhibited in the step response of bandpass digital filters associated with two’s complement arithmetic. However, for real situations bandpass signals are usually the input for the bandpass filters. One of the simplest bandpass signals is the sinusoidal signal. We now look at nonlinear behaviors exhibited in the sinusoidal response of bandpass digital filters associated with two’s complement.

There are necessary and sufficient conditions linking the trajectory behaviors, periodic properties of the symbolic sequences and the sets of initial conditions corresponding to various types of behaviors (see Chapter 6). Therefore, different ...

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