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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

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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].

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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

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sample and hold (padding zeros)

Filter this part

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THE END