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about cic filters advantages of integrating and combing at lower sampling rates

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what are the advantages of integrating at higher sampling rate and for comb filters lower sampling rate in cic filters
 

Since Z-domain transfer function of CIC filter is:
ed518423cc4dfa3be0a1c3dda7fc102c.png

where
N=order of filter
M=Differential Delay (usually M=1 or 2)
R=Decimation Factor

So while implementing CIC as decimation filter Integrator is followed by Down Sampler and then by Comb filters, the advantage is that now you need only "M" delay elements as compared to "M*R" required for earlier implementations which results in less area and low power consumption. As shown in following figure: (Note: M=1 in figure)
Multirate_Trans_Func_figure1.PNG
Hope this is helpful.
 

Eminent.Engineer said:
Since Z-domain transfer function of CIC filter is:
ed518423cc4dfa3be0a1c3dda7fc102c.png

where
N=order of filter
M=Differential Delay (usually M=1 or 2)
R=Decimation Factor

So while implementing CIC as decimation filter Integrator is followed by Down Sampler and then by Comb filters, the advantage is that now you need only "M" delay elements as compared to "M*R" required for earlier implementations which results in less area and low power consumption. As shown in following figure: (Note: M=1 in figure)
View attachment 81204
Hope this is helpful.
Click to expand...

actually i want to ask you a question that what is the difference between differential delay and ordinary delay.this differential delay M=1 or 2.
 

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