E=∫−∞∞∥x(t)∥2dtx(t)=sin2t+3cos4tE=∫−∞∞(sin2t+3cos4t)2dtE=∫−∞∞(sin22t)dt+∫−∞∞(9cos24t)dt+∫−∞∞(6sin2tcos4t)dtE=∞
Signal has infinite energy so it's not an energy signal
x(t)=sin2t+3cos4tx1(t)=sin2tω1=2T1=ω12πT1=22π=πx2(t)=3cos4tω2=4T2=ω22πT2=42π=2π
To=T1=2T2=1
P=To1∫0To∥x(t)∥2dtP=11∫01∥sin2t+3cos4t∥2dtP=∫01sin22tdt+9∫01cos22tdt+6∫01sin2tcos3tdt=5−sin4=4.93J
signal is a power signal
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