Signals and Systems - Electrical Engineering

744 APPENDIX: Useful Formulas Products sin(θ)sin(φ)= 1 2 [cos(θ−φ)−cos(θ+φ)] cos(θ)cos(φ)= 1 2 [cos(θ−φ)+cos(θ+φ)] sin(θ)cos(φ)= ...

APPENDIX: Useful Formulas 745 ∫ x−^1 dx=log(x) ∫ eaxdx= eax a a6= 0 ∫ xeaxdx= eax a^2 (ax− 1 ) ∫ sin(ax)dx=− 1 a cos(ax) ∫ cos(a ...

BIBLIOGRAPHY [1] A. Antoniou.Digital Filters. New York: McGraw-Hill, 1979. [2] E. T. Bell.Men of Mathematics. New York: Simon an ...

Bibliography 747 [23] G. Johnson. Claude Shannon, Mathematician, Dies at 84. New York Times, February 27, 2001. [24] R. Gabel an ...

748 Bibliography [55] A. Oppenheim and R. Schafer.Discrete-Time Signal Processing. Upper Saddle River, NJ: Prentice-Hall, 2010. ...

INDEX Ex, 80 F(s)=L[f(t)], 169 Fs, 437 F()=F[f(t)], 305, 344–346 F()=F[f[n]], 587 F(z)+Z[f[n]], 512, 523 H(s)=L[y(t)]/L[x(t)], ...

750 Index analog LTI systems (continued) causality, 143–145 complete response, 216 continuous-time, 119 convolution integral, 13 ...

Index 751 moving average (MA), 481–482 nonlinear system, 498 time-invariance, 498 discrete-time Fourier transform (DTFT), 572–59 ...

752 Index power, 79–85, 248–250 average, 80 discrete-time signals, 458–461 instantaneous, 79, 80 proper rational functions, 198– ...