preface 1 fundamental concepts 1.1signals and systems 1.2continuous-time signals 1.3discrete-time signals 1.4examples of systems 1.5basic system properties problems 2 systmes defined by differential or difference equations 2.1linear input/output differential equations with constant coefficients 2.2system modeling 2.3linear input/output difference equations with constant coeffcients 2.4discretization in time of differential equations 2.5systems defined by time-varying or nonlinear equations problems 3 convolution representation 3.1convolution representation of linear time-invariant discrete-time systems 3.2convolution of discrete-time signals 3.3convolution representation of linear time-invariant continuous-time systems 3.4convolution of continuous-time signals 3.5numerical convolution 3.6linear time-varying systems problems 4 the fourier series and fourier transform 4.1representation of signals in terms of frequency components 4.2fourier series representation of periodic signals 4.3fourier transform 4.4properties of the fourier transform 4.5generalized fourier transform problems 5 frequency-domain analysis of systems 5.1response to a sinusoidal input 5.2response to periodic inputs 5.3response to aperiodic inputs 5.4analysis of ideal filters 5.5sampling problems 6 application to communications 6.1analog modulation 6.2demodulation of analog signals 6.3simultaneous transmission of signals 6.4digital modulation 6.5baseband pam 6.6passband pam 6.7digital communication simulations problems 7 fourier analysis of discrete-time signals and systems 7.1discrete-time fourier transform 7.2discrete fourier transform 7.3properties of the dft 7.4system analysis via the dtft and dft 7.5fft algorithm 7.6applications of the fft algorithm problems 8 the laplace transform and the transfer function representation 8.1laplace transform of a signal 8.2properties of the laplace transform 8.3computation of the inverse laplace transform 8.4transform of the input/output differential equation 8.5transfer function representation 8.6transfer function of block diagrams problems 9 system analysis using the transfer function representation 9.1stability and the impulse response 9.2routh-hurwitz stability test 9.3analysis of the step response 9.4response to sinusoids and arbitrary inputs 9.5frequency response function 9.6causal filters problems 10 application to control 10.1introduction to control 10.2tracking control 10.3root locus 10.4application to control system design problems 11 the z-transform and discrete-time systems 11.1z-transform of a discrete-time signal 11.2propertise of the z-transform 11.3computation of the inverse z-transform 11.4transfer function representation 11.5stability of discrete-time systems 11.6frequency response of discrete-time systems problems 12 design of digital filters and controllers 12.1discretization 12.2design of iir filters 12.3design of iir filters using matlab 12.4design of fir filters 12.5design of digital controllers problems 13 state representation 13.1state model 13.2construction of state models 13.3solution of state equations 13.4discrete-time systems 13.5equivalent state representations 13.6discretization of state model problems appendix a brief review of complex variables appendix b brief review of matrices bibliography index
