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 344
... x [ n ] is decimated by this amount . * 4.34 The discrete - time signal x [ n ] with DTFT X ( en ) shown in Fig . P4.34 ( a ) is decimated by first passing x [ n ] through the filter with frequency response H ( e ) shown in Fig . P4.34 ( b ) ...
... x [ n ] is decimated by this amount . * 4.34 The discrete - time signal x [ n ] with DTFT X ( en ) shown in Fig . P4.34 ( a ) is decimated by first passing x [ n ] through the filter with frequency response H ( e ) shown in Fig . P4.34 ( b ) ...
Page 347
... [ n ] x [ n ] w , [ n ] and yь [ n ] x [ n ] w [ n ] , where x [ n ] = cos ( 26π / 100 ) + cos ( 29πn / 100 ) and M = 50. Use the MATLAB command fft to evaluate | Y , ( e ) in dB and | Y , ( e ) in dB at inter- vals of π / 200 . Does the ...
... [ n ] x [ n ] w , [ n ] and yь [ n ] x [ n ] w [ n ] , where x [ n ] = cos ( 26π / 100 ) + cos ( 29πn / 100 ) and M = 50. Use the MATLAB command fft to evaluate | Y , ( e ) in dB and | Y , ( e ) in dB at inter- vals of π / 200 . Does the ...
Page 458
... X ( z ) with the notation Z x [ n ] → X ( z ) Note that Eq . ( 7.5 ) expresses the signal x [ n ] as a weighted superposition of complex ex- ponentials z " . The weights are ( 1 / 2πj ) X ( z ) z ̄1 dz . In practice we will not ...
... X ( z ) with the notation Z x [ n ] → X ( z ) Note that Eq . ( 7.5 ) expresses the signal x [ n ] as a weighted superposition of complex ex- ponentials z " . The weights are ( 1 / 2πj ) X ( z ) z ̄1 dz . In practice we will not ...
Contents
TimeDomain Representations | 70 |
Fourier Representations for Signals | 155 |
Applications of Fourier Representations | 256 |
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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