Problem 4. (15 points) a) What are the necessary conditions on an interpolation kernel in order to force the output to pass through the input data? b) Why must the height of the sinc function be 1 when used as an interpolation kernel? (၁ Does the width and height of the kernel change if we are applying it to a signal that will undergo minification? If so, how does it change and why is the change necessary? d) Does the width and height of the kernel change if we are applying it to a signal that will undergo magnifica- tion? If so, how does it change and why is the change necessary?