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lecture 1 intro

# lecture 1 intro - Lecture 1 Introduction to signals and...

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Linear Systems Analysis 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 {x,y,t}) Systems: perform some kind of manipulation (processing) of signals (e.g. microphone, speaker, amplifier, demodulator) 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 Digital Signal
Linear Systems Analysis

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Unformatted text preview: Lecture 1 Introduction to signals and systems Other definitions: What is t = 0 ? What is t ∞ ? (engineering vs. mathematics) Positive time signals Negative time signals 2-sided signals Boundedness Linear Systems Analysis Lecture 1 Introduction to signals and systems Elementary continuous time functions: constant unit step unit ramp sinusoidal exponential Linear Systems Analysis Lecture 1 Introduction to signals and systems Linear Systems Analysis Lecture 1 Introduction to signals and systems Linear Systems Analysis Lecture 1 Introduction to signals and systems Linear Systems Analysis Lecture 1 Introduction to signals and systems Linear Systems Analysis Lecture 1 Introduction to signals and systems Complex exponential functions f(t) = exp{jωt} Euler’s Identity: exp{jωt} = cosωt + jsinωt...
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