信号系统练习.pptVIP

Chapter 1 assignment 1.3 Determine the values of and for each of the following signals: (a) solutions: because 1.3 Determine the values of and for each of the following signals: (f) 1.6 Determine whether or not each of the following signals is periodic: (a) (c) (a) is not periodic because it is zero for t0. (c) is shown in the figure below. Therefore, it is periodic with a fundamental period of 4. * solutions: -4 -3 -2 -1 0 1 2 3 4 5 n 1 1 1 -1 -1 -1 … … 1.8 Express the real part of each of the following signals in the form , where A, a, ω, and Φ are real numbers with A 0 and : (b) solutions: So the real part is 1.8 Express the real part of each of the following signals in the form , where A, a, ω, and Φ are real numbers with A 0 and : (d) Solutions: 1.9 Determine whether or not each of the following signals is periodic. If a signal is periodic, specify its fundamental period. (a) (b) (c) (d) (e) 4 (a) is a periodic complex exponential. The fundamental period of is Solutions: 1.9 Determine whether or not each of the following signals is periodic. If a signal is periodic, specify its fundamental period. (a) (b) (c) (d) (e) 4 The fundamental period is 2 . 1.10 Determine the fundamental period of the signal Solution: suppose and the period of is and that of is The period of is the least common multiple of and . So the fundamental period of x(t) is Suppose 1.11 Determine the fundamental period of signal Solutions: