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Intro to digital signal processing
Dsp systems i
Sampling ct signals: a frequency
The module will provide an introduction to sampling a signal in the frequency domain and go through a basic example.
Understanding sampling in the frequency domain
We want to relate
x
c
t directly to
x
n . Compute the CTFT of
x
s
t
n
∞
∞
x
c
n
T
t
n
T
X
s
t
∞
∞
n
∞
∞
x
c
n
T
t
n
T
t
n
∞
∞
x
c
n
T
t
∞
∞
t
n
T
t
n
∞
∞
x
n
n
T
n
∞
∞
x
n
n
X
where
T and
X
is the DTFT of
x
n .
X
1
T
k
∞
∞
X
c
k
s
1
T
k
∞
∞
X
c
2
k
T where this last part is
2
-periodic.
Sampling
Speech
Speech is intelligible if bandlimited by a CT lowpass filter
to the band4 kHz. We can sample speech as slowly as _____?
Note that there is no mention of
T or
s ! Got questions? Get instant answers now!
Relating x[n] to sampled x(t)
Recall the following equality:
x
s
t
n
n
x
n
T
t
n
T
Recall the CTFT relation:
where
is a scaling of
time and
1
is a scaling in frequency.
Questions & Answers
Explain the following terms .
(1) Abiotic factors in an ecosystem
Abiotic factors are non living components of ecosystem.These include physical and chemical elements like temperature,light,water,soil,air quality and oxygen etc
Qasim
passive process of transport of low-molecular weight material according to its concentration gradient
AI-Robot
what is production?
Catherine
how did the oxygen help a human being
how did the nutrition help the plants
Biology is a branch of Natural science which deals/About living Organism.
evolutionary history and relationship of an organism or group of organisms
AI-Robot
cell is the smallest unit of the humanity biologically
Abraham
HOW CAN MAN ORGAN FUNCTION
the diagram of the digestive system
allimentary cannel
Ogenrwot
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
what is respiration
Deborah
Genetics is the study of heredity
Misack
how does twins formed?
Misack
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Source:
OpenStax, Intro to digital signal processing. OpenStax CNX. Jan 22, 2004 Download for free at http://cnx.org/content/col10203/1.4
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