MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.003: Signals and Systems--Fall 2003 PROBLEM SET 2 SOLUTIONS (E1)O&W1.38(a) (a) From Figure 1. 34 in O&W, we have the following 6△(t) Figure 2.o1.1 Narrow Pulse Now, consider SA(2t)which is a time compressed version of Figure 1. 34 in Oppenheim and willsky Figure 2.O1.2: Time Compressed Narrow Pulse The area under this new pulse is of course 1. If we take the limit as 4-0,we end up with� � � � MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.003: Signals and Systems—Fall 2003 Problem Set 2 Solutions (E1) O&W 1.38(a) (a) From Figure 1.34 in O&W, we have the following ��(t) 1 � t Figure 2.O1.1: Narrow Pulse Now, consider ��(2t) which is a time compressed version of Figure 1.34 in Oppenheim and Willsky. ��(2t) 1 2 1 � t Figure 2.O1.2: Time Compressed Narrow Pulse 1 The area under this new pulse is of course 2 . If we take the limit as � � 0, we end up with: 1