Digital Signal Processing
description
Transcript of Digital Signal Processing
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2/17/2007 DSP Course-IUST-Spring Semester 1
Digital Signal Processing
Electrical Engineering Department
Iran University of Science & Tech.
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DSP Course-IUST-Spring Semester 22/17/2007
Digital Signal ProcessingTopic 1: Time Domain
1. Discrete-time systems
2. Convolution
3. Linear Constant-Coefficient Difference
Equations (LCCDEs)
4. Correlation
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DSP Course-IUST-Spring Semester 32/17/2007
1. Discrete-time systems
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DSP Course-IUST-Spring Semester 42/17/2007
Moving Average (MA)
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DSP Course-IUST-Spring Semester 52/17/2007
MA Smoother
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DSP Course-IUST-Spring Semester 62/17/2007
Accumulator
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DSP Course-IUST-Spring Semester 72/17/2007
Accumulator
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DSP Course-IUST-Spring Semester 82/17/2007
Classes of DT systems
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DSP Course-IUST-Spring Semester 92/17/2007
Linearity: Example 1
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DSP Course-IUST-Spring Semester 102/17/2007
Linearity Example 2:
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DSP Course-IUST-Spring Semester 112/17/2007
Linearity Example 3:
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DSP Course-IUST-Spring Semester 122/17/2007
Property: Shift (time) invariance
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DSP Course-IUST-Spring Semester 132/17/2007
Shift-invariance counterexample
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DSP Course-IUST-Spring Semester 142/17/2007
Another counterexample
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DSP Course-IUST-Spring Semester 152/17/2007
Linear Shift Invariant (LSI)
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DSP Course-IUST-Spring Semester 162/17/2007
Causality
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DSP Course-IUST-Spring Semester 172/17/2007
Causality example
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DSP Course-IUST-Spring Semester 182/17/2007
Impulse response (IR)
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DSP Course-IUST-Spring Semester 192/17/2007
Impulse response example
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DSP Course-IUST-Spring Semester 202/17/2007
2. Convolution
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DSP Course-IUST-Spring Semester 212/17/2007
Convolution sum
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DSP Course-IUST-Spring Semester 222/17/2007
Convolution properties
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DSP Course-IUST-Spring Semester 232/17/2007
Interpreting convolution
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DSP Course-IUST-Spring Semester 242/17/2007
Convolution interpretation 1
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DSP Course-IUST-Spring Semester 252/17/2007
Convolution interpretation 2
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DSP Course-IUST-Spring Semester 262/17/2007
Matrix interpretation
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DSP Course-IUST-Spring Semester 272/17/2007
Convolution notes
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DSP Course-IUST-Spring Semester 282/17/2007
Convolution in MATLAB
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DSP Course-IUST-Spring Semester 292/17/2007
Connected systems
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DSP Course-IUST-Spring Semester 302/17/2007
Inverse systems
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DSP Course-IUST-Spring Semester 312/17/2007
Inverse systems
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DSP Course-IUST-Spring Semester 322/17/2007
Inverse system example
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DSP Course-IUST-Spring Semester 332/17/2007
Parallel connection
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DSP Course-IUST-Spring Semester 342/17/2007
3. Linear Constant-CoefficientDifference Equation (LCCDE)
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DSP Course-IUST-Spring Semester 352/17/2007
Solving LCCDEs
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DSP Course-IUST-Spring Semester 362/17/2007
Complementary Solution
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DSP Course-IUST-Spring Semester 372/17/2007
Complementary Solution
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DSP Course-IUST-Spring Semester 382/17/2007
Complementary Solution
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DSP Course-IUST-Spring Semester 392/17/2007
Particular Solution
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DSP Course-IUST-Spring Semester 402/17/2007
LCCDE example
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DSP Course-IUST-Spring Semester 412/17/2007
LCCDE example
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DSP Course-IUST-Spring Semester 422/17/2007
LCCDE example
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DSP Course-IUST-Spring Semester 432/17/2007
LCCDE example
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DSP Course-IUST-Spring Semester 442/17/2007
LCCDE example
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DSP Course-IUST-Spring Semester 452/17/2007
LCCDE solving summary
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DSP Course-IUST-Spring Semester 462/17/2007
LCCDEs: zero input/zero state
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DSP Course-IUST-Spring Semester 472/17/2007
Impulse response of LCCDEs
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DSP Course-IUST-Spring Semester 482/17/2007
LCCDE IR example
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DSP Course-IUST-Spring Semester 492/17/2007
System property: Stability
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DSP Course-IUST-Spring Semester 502/17/2007
Stability
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DSP Course-IUST-Spring Semester 512/17/2007
Stability example
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DSP Course-IUST-Spring Semester 522/17/2007
Stability & LCCDEs
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DSP Course-IUST-Spring Semester 532/17/2007
4. Correlation
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DSP Course-IUST-Spring Semester 542/17/2007
Correlation and convolution
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DSP Course-IUST-Spring Semester 552/17/2007
Autocorrelation
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DSP Course-IUST-Spring Semester 562/17/2007
Correlation maxima
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DSP Course-IUST-Spring Semester 572/17/2007
AC of a periodic sequence
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DSP Course-IUST-Spring Semester 582/17/2007
AC of a periodic sequence
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DSP Course-IUST-Spring Semester 592/17/2007
What correlations look like
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DSP Course-IUST-Spring Semester 602/17/2007
What correlation looks like