Final answer:
When convolving two delta functions, we need to check for the overlapping regions. In this case, the convolution of δ(n−5) and δ(n−2) will be 1 at n-2 and 0 elsewhere.
Step-by-step explanation:
To find the convolution of two signals, we need to find the sum of the product of each corresponding sample of the two signals. In this case, we are given two delta functions: δ(n−5) and δ(n−2). A delta function has a value of 1 when the argument equals 0 and 0 otherwise.
When convolving δ(n−5) and δ(n−2), we need to check for the overlapping regions. Here, the two functions overlap at n-2, so the convolution will be 1 at that point. The result of the convolution will be 0 everywhere else.