Ch 1 lecture 1

Ch 1 lecture 1 - Linear Systems and Signals Lecture 1...

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Linear Systems and Signals Lecture 1 Introduction to signals and systems Signals: single valued functions that carry information (e.g. voice, radar, control, heart EKG, brainwaves, 2-D pictures {x,y}, 3-D video or RF electromagnetic radiation {x,y,t}) Systems: perform some kind of manipulation (processing) of signals (e.g. microphone, speaker, amplifier, demodulator) Systems can be electrical, mechanical, hydraulic, etc. Continuous time signals – signals defined at every instant in time. Usually denoted f(t) for all t (-∞,∞). In reality, no signal starts from -∞ and lasts forever but it is convenient to represent signals this way. Discrete time signals – signals defined only at discrete instants of time, but have a continuous range of amplitudes Digital signals – discrete time signals with discrete (quantized) amplitudes
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Linear Systems Analysis Lecture 1 Introduction to signals and systems Analog signal Discrete Signal
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Linear Systems Analysis Lecture 1 Introduction to signals and systems Elementary continuous time functions: Constant f(t) : = 1 , for all t
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Linear Systems Analysis Lecture 1 Introduction to signals and systems unit step q(t) : = 1, for t ≥ 0 0, for t < 0
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Linear Systems Analysis Lecture 1 Introduction to signals and systems unit ramp r(t) : = t for t ≥ 0 0 for t < 0
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