The ___________________ address (also called a hardware address) is assigned by the manufacturer and is unique.

Under the DSP G framework, the gradient of a signal at a node is a scalar value. However, let us define a vector gradient ? i f at a node i such that the j th element of the gradient vector is ( ? i f)( j) = ? wij ( f ( i ) ? f ( j)). Therefore, the length of the gradient vector at node i is the number of incoming edges at the node.

(a) An image signal can also be considered as a graph signal lying on the graph shown in
Figure 10.11, where the edges are pointing rightward and downward. For an arbitrary
node, what is the vector gradient at the node?
(b) Describe under what conditions on a graph signal
f the relation ||?if||1= |(Linf)(i)| will
hold? Here Lin is the directed Laplacian (in-degree) of the graph.
(c) Do you think that defining a vector gradient might be a better choice for quantifying
the local variations in a graph signal and subsequently for quantifying global variation as
well? Why?

Perform a task analysis. Describe your user’s goals, and the types of tasks they carry out in order to complete those goals. Interview at least five users. If appropriate, employ the “think-aloud” technique. Include copies of the interviews.

What will be an ideal response?