CSE3213_04_AnalogDigitalSignalsW2012 part 3

CSE3213_04_AnalogDigitalSignalsW2012 part 3 - phase shift...

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12 Analog Signals Classification of Analog Signals (1) Simple Analog Signal cannot be decomposed into simpler signals sinewave most fundamental form of periodic analog signal – mathematically described with 3 parameters (1.1) peak amplitude (A) – absolute value of signal’s highest intensity – unit: volts [V] (1.2) frequency (f) – number of periods in one second – unit: hertz [Hz] = [1/s] inverse of period (T) ! (1.3) phase ( φ ) – absolute position of the waveform relative to an arbitrary origin – unit: degrees [º] or radians [rad] (2) Composite Analog Signal composed of multiple sinewaves ) ft sin(2 A s(t) π A T = 1/f The origin is usually taken as the last previous passage through zero from the negative to the positive direction. 1[s] 0[s]
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13 Composite Analog Signals (cont.) Example [composite analog signal ]
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14 measured in degrees or radians 360º = 2 rad 1º = 2 /360 rad 1 rad = (360/2 = 57.29578°
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Unformatted text preview: phase shift of 360º = shift of 1 complete period phase shift of 180º = shift of 1/2 period phase shift of 90º = shift of 1/4 period φ = 0º or 360º φ = 90º φ = 180º Simple Analog Signals Phase in Simple Analog Signals 5V 1s http://hermes.eee.nott.ac.uk/teaching/cal/h61sig/sig0001.html 15 Analog Signals Example [ period (T) and frequency (f) ] Unit Equivalent Unit Equivalent seconds (s) 1 s hertz (Hz) 1 Hz milliseconds (ms) 10 –3 s kilohertz (KHz) 10 3 Hz microseconds ( s) 10 –6 s megahertz (MHz) 10 6 Hz nanoseconds (ns) 10 –9 s gigahertz (GHz) 10 9 Hz picoseconds (ps) 10 –12 s terahertz (THz) 10 12 Hz (a) Express a period of 100 ms in micro seconds. 100 ms = 100 10-3 s = 100 10-3 10 6 μs = 10 5 μs (b) Express the corresponding frequency in kilo hertz. 100 ms = 100 10-3 s = 10-1 s f = 1/10-1 Hz = 10 10-3 KHz = 10-2 KHz units of period and respective frequency...
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This note was uploaded on 02/14/2012 for the course CSE 3213 taught by Professor A during the Winter '10 term at York University.

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CSE3213_04_AnalogDigitalSignalsW2012 part 3 - phase shift...

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