Mathematical tools in signal processing with C and Java simulations

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1、MathematicalToolsinSignalProcessingwithC++andJavaSimulationsbyWilli-HansSteebInternationalSchoolforScientificComputingContents1SamplingTheory11.1Introduction................................11.2NyquistTheorem.............................61.3LagrangeSamplingTheorem..

2、.....................81.4Application................................92Quantization112.1Introduction................................112.2ScalarQuantization............................132.3Mu-LawandA-Law............................172.4Application...................

3、.............252.5VectorQuantization...........................272.5.1Introduction............................272.5.2DesignProblem..........................282.5.3LBGDesignAlgorithm......................302.5.4Example..............................323DigitalLinearF

4、ilters373.1Introduction................................373.2FiniteImpulseResponseFilters.....................423.3InfiniteImpulseResponseFilters....................443.4DigitalFiltersfromAnalogFilters....................493.5MatlabFilterImplementation..............

5、........513.6GeneratingFunctionsandDifferenceEquations............523.6.1Introduction............................523.6.2Example..............................533.6.3PropertiesofGeneratingFunctions...............554Convolution574.1Introduction........................

6、........574.2CircularConvolution...........................584.3NoncircularConvolution.........................61i5DiscreteFourierTransform655.1Introduction................................655.2PropertiesoftheDiscreteFourierTransform..............695.3Windows......

7、............................715.4FastFourierTransform..........................735.5Program..................................745.6DiscreteTwo-DimensionalFourierTransform..............776DiscreteWavelets796.1Introduction................................796.2Examples

8、.................................816.3C++Program...............................836.4Two-DimensionalWavelets........................867z-Transform897.1In