Transcription of Continuous-Time Chapter Signals and LTI Systems
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Continuous-Time Chapter Signals and LTI Systems
ECE 2610 signal and Systems9 1 Continuous-Time Signals and LTI SystemsAt the start of the course both continuous and discrete-time sig-nals were introduced. In the world of Signals and Systems model-ing, analysis, and implementation, both discrete-time andcontinuous-time Signals are a reality. We live in an analog world,is often said. The follow-on courses to ECE2610, Circuits andSystems I (ECE2205) and Circuits and Systems II (ECE3205)focus on Continuous-Time Signals and Systems . In particular cir-cuits based implementation of Systems is investigated in greatdetail. There still remains a lot to discuss about continuous-timesignals and Systems without the need to consider a circuit imple-mentation. This Chapter begins that Signals To begin with Signals will be classified by their support inter-valTwo-Sided Infinite-Length Signals Sinusoids are a primary example of infinite duration Signals ,that are also periodicChapter9 Continuous-Time SignalsECE 2610 Signals and Systems9 2( ) The period for both the real sinusoid and complex sinusoidsignals is The signal may be any periodic signal , say a pulse train orsquarewave A two-sided exponential is another example( )xt()A 0t +() t <<,cos=xt()Aej ej 0t t <<,=T02 0 =xt()Ae t t <<,= 10 4 224 4 224 4 ()52 t2--- cos=xt()2et2 =xt()Pulse Train=Period = 2sPulse Width = exponentialContinuous-Time SignalsECE 2610 Signals and S
Continuous-Time Signals ECE 2610 Signals and Systems 9–2 (9.1) † The period for both the real sinusoid and complex sinusoid signals is † The signal may be any periodic signal, say a pulse train or
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