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SIGNALS and SYSTEMS
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What is a signal?
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SIGNALS and SYSTEMS What is a signal? What is a system?
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SIGNALS and SYSTEMS What is a signal? What is a system?
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SIGNALS and SYSTEMS What is a signal? What is a system? Signal: time varying function produced by physical device (voltage, current, etc.)
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SIGNALS and SYSTEMS What is a signal? What is a system? Signal: time varying function produced by physical device (voltage, current, etc.) System: device or process (algorithm) having signals as input and output Input x(t) output y(t)
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SIGNALS and SYSTEMS
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ax(t) ay(t) a 1 x 1 (t) + a 2 x 2 (t) a 1 y 1 (t) + a 2 y 2 (t) Superposition
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SIGNALS and SYSTEMS Periodic signals -- f(t+T) = f(t) Period = T (seconds) Frequency = 1/ Period (“cycles” / sec. = Hertz (Hz)
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SIGNALS and SYSTEMS Periodic signals -- f(t+T) = f(t) Period = T (seconds) Frequency = 1/ Period (“cycles” / sec. = Hertz (Hz) Radian frequency: (radians/sec.)
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SIGNALS and SYSTEMS Reference: Signals, Systems and Tranforms Leland B. Jackson Addison Wesley
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SIGNALS and SYSTEMS
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100MHz square wave What bandwidth required for transmission?
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SIGNALS and SYSTEMS Periodic Signal --- Composed of sinusoids MATLAB Demo
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SIGNALS and SYSTEMS Periodic Signal --- Composed of sinusoids
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Fourier Series is the “fundamental frequency”
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Fourier Series Integration limits: when, then so we get:
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Fourier Series Euler:
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Fourier Series We can show ; recall that
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Phasors: Phasors
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