Consider a signal, with magnitude spectrum IX(f)| given in the figure below: IX(1 50 100 f (Hz) (a) Determine what is the minimum sampling frequency, fs, to avoid aliasing? -100 -50 (b) If the signal was sampled at 180 samples/sec, what would happen? Will there be aliasing? If so, what frequencies will alias? (c) Anti-aliasing filters have a transition band. If this signal is sampled at a sampling rate of 240 Hz, how large a transition band does this sampling rate allow for this signal? (d) After sampling this signal, we want to return back to the analog domain. Describe two reconstruction approaches that could be used to reconstruct the signal, and briefly discuss the pros and cons of each.