digital signal processing
DESCRIPTION
Digital Signal Processing. Electrical Engineering Department Iran University of Science & Tech. Digital Signal Processing Topic 1: Time Domain. 1. Discrete-time systems 2. Convolution 3. Linear Constant-Coefficient Difference Equations (LCCDEs) 4. Correlation. 1. Discrete-time systems. - PowerPoint PPT PresentationTRANSCRIPT
2/17/2007 DSP Course-IUST-Spring Semester 1
Digital Signal Processing
Electrical Engineering Department
Iran University of Science & Tech.
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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1. Discrete-time systems
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Moving Average (MA)
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MA Smoother
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Accumulator
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Accumulator
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Classes of DT systems
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Linearity: Example 1
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Linearity Example 2:
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Linearity Example 3:
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Property: Shift (time) invariance
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Shift-invariance counterexample
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Another counterexample
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Linear Shift Invariant (LSI)
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Causality
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Causality example
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Impulse response (IR)
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Impulse response example
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2. Convolution
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Convolution sum
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Convolution properties
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Interpreting convolution
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Convolution interpretation 1
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Convolution interpretation 2
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Matrix interpretation
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Convolution notes
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Convolution in MATLAB
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Connected systems
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Inverse systems
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Inverse systems
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Inverse system example
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Parallel connection
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3. Linear Constant-CoefficientDifference Equation (LCCDE)
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Solving LCCDEs
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Complementary Solution
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Complementary Solution
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Complementary Solution
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Particular Solution
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LCCDE example
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LCCDE example
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LCCDE example
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LCCDE example
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LCCDE example
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LCCDE solving summary
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LCCDEs: zero input/zero state
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Impulse response of LCCDEs
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LCCDE IR example
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System property: Stability
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Stability
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Stability example
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Stability & LCCDEs
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4. Correlation
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Correlation and convolution
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Autocorrelation
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Correlation maxima
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AC of a periodic sequence
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AC of a periodic sequence
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What correlations look like
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What correlation looks like