Help designing a filter for a DAC

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A user is seeking assistance in designing a filter for a DAC circuit, specifically focusing on implementing a transfer function using PSPICE. They are confident about the denominator, suggesting three op-amp integrators in series, but are uncertain about the numerator's implementation in a digital context. The discussion highlights the potential use of a Z-transform equivalent and the realization of the digital components with clock-controlled D-Flip Flops. There is a request for guidance on managing the complexity of wiring and selecting appropriate parts. Overall, the conversation centers around integrating analog and digital elements in filter design.
cuallito
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Okay, I want to add a filter onto the end of this circuit with the transfer function:

\frac{1 - 3e^{-sT} + 3e^{-2sT} - e^{-3sT}}{s^{3}T^{3}}
(T is the sampling period)

chematic.png


I'm using PSPICE. The denominator seems simple enough to implement, just 3 op-amp integrators in series (right?), but I'm not sure about the top. Seems like you could implement it as 1 - 3z^-1 + 3z^-2 - z^-3 when the signal's digital, but I'm not sure how to do that without getting lost in a mess of wires and I wouldn't know what parts to use. Seems like there should be an easy way to do it. I'm new to PSPICE so if anyone could help I'd be really thankful.
 
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Ok, your right about the Z-transform equivalent and recognizing that z^-1 means a unit time delay, you could realize it with a clock controlled D-Flip Flop. However I am not really sure about your mixed analog/discrete view so let me know about the results.
 
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