ELG4172 Digital Signal Processing - Engineering
Transcript of ELG4172 Digital Signal Processing - Engineering
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uOttawa.cahttp://www.site.uottawa.ca/~hjlee103/
Faculté de génie | Faculty of Engineering
ELG4172 Digital Signal Processing
• Tutorial-3
Presented by: Hitham Jleed
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Inverse z-transform
Inspection method
Partial fraction expansion
Power series expansion
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𝑥[𝑛] = 𝛿[𝑛] + 𝑎𝛿[𝑛 − 1] + 𝑎2𝛿[𝑛 − 2] + 𝑎3𝛿[𝑛 − 3]+. . . .
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MATLAB’s function: residuez
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SAMPLING, A/D CONVERSION AND
D/A CONVERSION
Introduction to Lab#3
© H. Jleed: 2018 ~
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Most of the signals around us such as pressure, temperature, Light
Intensity etc. Most of our contemporary modern equipment and
systems are entirely digital. Therefore, to enable these systems to
interact with these physical signals, then conversion from physical
form to their equivalent electrical analogue form and eventually
conversion from analogue to digital form and vice versa using ADC
and DAC converters respectively becomes necessary in order to
analyse, comprehend their properties and processes them using
areal time digital processing system as shown below.
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Step 1 Sampling Process
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The sampling theorem
Among the frequencies, there is a unique one that lies within the Nyquist
interval. It is obtained by reducing the original f modulo-fs, that is, adding to or
subtracting from f enough multiples of fs until it lies within the symmetric
Nyquist interval [−fs/2, fs/2].
© H. Jleed: 2018 ~
Suppose you sample a signal in some way. If you can exactly reconstruct the
signal from the samples, then you have done a proper sampling and captured
the key signal information
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Sampling in the Frequency Domain
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Sinusoidal Signal
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Simulate a continuous sinusoid
)02cos()02cos()( tnftftx = n=0,1,2,... =2kHz 0f t =1/80000
© H. Jleed: 2018 ~
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sample and hold (padding zeros)
Filter this part
© H. Jleed: 2018 ~
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THE END