FIR filters, impulse responses and unit step function

AI Thread Summary
The discussion centers on identifying the incorrect expression involving the delta function δ[n] and the unit step function u[n]. Participants are asked to evaluate four expressions, with a focus on their mathematical validity. The expressions include relationships between the delta function and the unit step function, as well as their implications in signal processing. The conversation encourages collaborative analysis to clarify the correct and incorrect statements. The goal is to enhance understanding of FIR filters and their impulse responses through this evaluation.
Jd303
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Hey everyone, the question I am faced with is this:

Which of the following expressions involving δ[n] is incorrect?
where "m" is a non zero integer and u[n] is the unit step function.

A. u[n-m] = δ[n] + u[n-m+1]

B. x[n]δ[n-m] = x[n-m]

C. δ[n] = u[n] - u[n-1]

D. δ[n]δ[n-m] = 0

I have been scratching my head for a while, but really not sure what to do. Any help as always would be greatly appreciated!
 
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Hey Jd, take a shot at each of these, explain your rationale & then maybe we can be of help.
 

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