explain briefly the function of each part of the DSP system
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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From the figure in Page 1, explain briefly the function of each part of the DSP system

Transcribed Image Text:Experiment No. (3
Sampling and Reconstruction
of Analog Signals
Objectives
-To study the sampling principle and its effect on the frequency-domain quantities.
-To study several reconstruction approaches.
Introduction
Analog
input
signal
Analog
output
signal
A/D
Digital
Signal
D/A
Converter
Converter
(ADC)
processor
(DAC)
Digital
signal
Digital
signal
In many DSP applications, real world analog signals are converted into discrete signals
using sampling and quantization operations (collectively called analog-to-digital conversion or
ADC). These discrete signals are processed by digital signal processors, and the processed signals
are converted into analog signals using a reconstruction operation (called digital-to-analog
conversion or DAC).
To understand how the DSP system works, we need to know the relation between an analog
signal and its discrete time sampled version. In time domain, relation between an analog signal
and a sampled discrete time signal is given by:
x(n) = x, (nT,),
.. (1)
where T, is the sampling interval.
However, in the frequency domain, the relation between spectra of an analog signal and its
discretized version is more complicated. Here, Fourier analysis can be used to explain this
relation and then address the reconstruction operation as follows:
The continuous time Fourier transform is given by:
X (F) = [x,(1)e
*dt .
.. (2)
The inverse continuous time Fourier transform is given by:
x,(1) = [x,(F)e?#® dF .
The discrete time Fourier transform is given by:
X(f) = Ex(n)e¯12# .
... (4)
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