Signals and SystemsIntended for use in an undergraduate course in electrical engineering, this book provides a modern treatment of signals and systems. It will prepare students for senior-level courses in communication systems, control systems, and digital signal processing (as encountered in digital audio), radar, radio, astronomy, sonar, remote sensing, seismology, and biomedical engineering. Examples and drill problems and solutions are provided throughout the book. |
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Page 283
... sampling process discards values of the signal . We examine the impact of subsampling by comparing the DTFT of the sampled signal to the DTFT of the original signal . SAMPLING CONTINUOUS - TIME SIGNALS Let x ( t ) be a continuous - time ...
... sampling process discards values of the signal . We examine the impact of subsampling by comparing the DTFT of the sampled signal to the DTFT of the original signal . SAMPLING CONTINUOUS - TIME SIGNALS Let x ( t ) be a continuous - time ...
Page 285
... sampled signal for different sampling frequencies . ( a ) Spectrum of contin- uous - time signal . ( b ) Spectrum of sampled signal when w 、= 3W . ( c ) Spectrum of sampled signal when w ̧ = 2W . ( d ) Spectrum of sampled signal when w ...
... sampled signal for different sampling frequencies . ( a ) Spectrum of contin- uous - time signal . ( b ) Spectrum of sampled signal when w 、= 3W . ( c ) Spectrum of sampled signal when w ̧ = 2W . ( d ) Spectrum of sampled signal when w ...
Page 292
... SAMPLING THEOREM Our discussion of sampling indicated that the samples of a signal do not always uniquely determine the corresponding continuous - time signal . For example , if we sample a sinusoid at intervals of a period , then the ...
... SAMPLING THEOREM Our discussion of sampling indicated that the samples of a signal do not always uniquely determine the corresponding continuous - time signal . For example , if we sample a sinusoid at intervals of a period , then the ...
Contents
TimeDomain Representations | 70 |
Fourier Representations for Signals | 155 |
Applications of Fourier Representations | 256 |
Copyright | |
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Common terms and phrases
amplitude applied approximation bandwidth block diagram carrier carrier wave causal closed-loop complex sinusoids continuous-time signal continuous-time system control system convolution corresponding defined denote depicted in Fig determine difference equation digital filter discrete-time signal discrete-time system Drill Problem DTFS DTFS coefficients DTFT evaluate example exponential feedback system FIGURE Fourier representations Fourier transform frequency response frequency-domain H(jw Hence impulse response initial conditions input signal integral inverse system Laplace transform linear loop transfer function lowpass filter LTI system magnitude response MATLAB MATLAB command message signal modulated wave natural response nonperiodic signals Nyquist obtain operation partial fraction expansion periodic signal phase response poles and zeros polynomial rad/s represents root locus s-plane sampled signal shift shown in Fig sideband signal x(t signal x[n Solution stable state-variable description step response time-shifted values vector voltage X(en X(jw z-transform zero-order hold