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IndexSymbols Cauchy’s residue theorem convolution in the discrete-timesee residue theorem domain - see Z transform - properties of% (percent) symbol in MATLAB A-2 Cauer filter - see elliptic filter convolution in the time domain propertyCayley-Hamilton theorem 5-11 of the Laplace transform - seeA characteristic equation 5-19 Laplace transform - properties ofcheb1ap MATLAB function 11-35 convolution integral defined 6-8abs(z) in MATLAB A-23 cheb2ap MATLAB function 11-38 graphical evaluation of 6-8active analog filter - see filter Chebyshev filters - see filter convolution property of the Fourieradjoint of a matrix - see matrix Chebyshev Type I analog low-pass transform - see Fourier transformadmittance filter design - see filter design properties ofcapacitive 4-2 Chebyshev Type I filters - see filter Cooley and Tukey 10-18inductive 4-2 Chebyshev Type I low-pass filter cosine function - Fourier transform ofcomplex input 4-11 magnitude-square function 11-26 see Fourier transform ofalgebraic constrain block in Simulink B-18 - see filter common functionsaliasing 10-14 Chebyshev Type II analog low-pass cosω 0 t u 0 (t) function - Fourier transform ofall-pass filter - see filter filter design - see filter design see Fourier transform ofall-pole approximation 11-21 Chebyshev Type II filters - see filter common functionsall-pole low-pass filter circuit analysis with Laplace transforms 4-1 Cramer’s rule D-17see filter - low-pass circuit analysis with state variables 5-22alternate form of the trigonometric circuit transformation from time DFourier series - see Fourier series to complex frequency 4-1alternate method of partial clc MATLAB command A-2 d2c MATLAB function 9-47fraction expansion - see partial clear MATLAB command A-2 data points in MATLAB A-14fraction expansion cofactor of a matrix - see matrix decade - definition of 11-12angle(z) MATLAB function A-23 collect(s) MATLAB symbolic function 3-12 decimation in frequency - see FFT algorithmargument 11-2 column vector in MATLAB A-19 decimation in time - see FFT algorithmattenuation rate 11-12 command screen in MATLAB A-1 deconv MATLAB function A-6autoscale icon in Simulink B-12 Command Window in MATLAB A-1 default color in MATLAB A-15axis MATLAB command A-16 commas in MATLAB A-8 default line in MATLAB A-15comment line in MATLAB A-2 default marker in MATLAB A-15B Commonly Used Blocks in Simulink B-7 default values in MATLAB A-12complex admittance - see admittance delta (impulse) functionband-elimination filter - see filter complex conjugate in MATLAB A-4 definition of 1-11band-elimination filter design complex conjugate pairs 3-5 doublet 1-14see filter design complex impedance - see impedance Fourier transform of - see Fourierband-limited signal 10-13 complex number C-2 transform of common functionsband-pass filter - see filter complex numbers in MATLAB A-3 higher order 1-14band-pass filter design complex poles 3-5 nth-order 1-14see filter design Complex to Magnitude-Angle sampling property of 1-12band-stop filter - see filter block in Simulink C-7 sifting property of 1-13Bessel filter - see filter computation of the state triplet 1-14bilinear MATLAB function 11-59 transition matrix 5-11 demo in MATLAB A-2bilinear transformation - see computation of the Z Transform with DeMoivre’s theorem 11-15transformation methods for mapping contour integration - see Z transform derivation of the Fourier transform fromanalog prototype filters to digital filters Configuration Parameters the Laplace Transform 8-25bode MATLAB function 11-24 in Simulink B-12 determinant of a matrix - see matrixbox MATLAB command A-12 congugate of a matrix - see matrix determinant of order 2 - see matrixbuttap MATLAB function 11-17 conj(A) MATLAB function D-9 DFT - common properties ofbuttefly operation 10-23 conjugate of a complex number C-3 even time function 10-9Butterworth analog low-pass conjugate time and frequency functions even frequency function 10-9filter design - see filter design of the Fourier transform - see frequency convolution 10-13Fourier transform - properties of frequency shift 10-12C constant function - Fourier transform of linearity 10-10see Fourier transform - properties of odd time function 10-9c2d MATLAB function 9-46 Contents Pane in Simulink B-7 odd frequency function 10-9capacitive admittance - see admittance contour integral 9-20 time convolution 10-12capacitive impedance - see impedance conv MATLAB function A-7 time shift 10-11cascade form realization - see digital filter convolution in the complex frequency DFT - definition of 10-1Category I FFT algorithm - see domain - see Laplace transform N-point 10-2, 10-16FFT algorithm properties of diagonal elements of a matrix - see matrixCategory II FFT algorithm - see convolution in the discrete-frequency diagonal matrix - see matrixFFT algorithm domain - see Z transform - properties ofIN-1