Signal Energies and Powers: Understanding Signal Manipulations
Learn about signal energies and powers by analyzing different signals in Figure 1.3a to 1.3e. Understand the effects of doubling, time-shifting, compression, and expansion on signal energy and power. Explore the characteristics of everlasting exponential signals and differentiate between energy and power signals.
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Presentation Transcript
Dr. Michael Dr. Michael Nasief Nasief
Show that the energies of the signals in Fig. 1.3a, 1.3b, 1.3c, and 1.3d are 4, 1, 4/3, and 4/3, respectively. Observe that doubling a signal quadruples the energy, and time effect on the energy. Show also that the power of the signal in Fig. 1.3e is 0.4323. Observe that doubling a signal quadruples the energy, and time- -shifting a signal has no effect on the energy. shifting a signal has no
Figure 1.7a shows a signal x(t). Sketch and describe mathematically this signal time- compressed by factor 3. Repeat the problem for the same signal time-expanded by factor 2.
EXERCISE E Show that an everlasting exponential e atis neither an energy nor a power signal for any real value of a. However, if a is imaginary, it is a power signal with power Px = 1 regardless of the value of a. EXERCISE E1.6 1.6
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