Signals and SystemsThis exploration of signals and systems develops continuous-time and discrete-time concepts/methods in parallel, and features introductory treatments of the applications of these basic methods in such areas as filtering, communication, sampling, discrete-time processing of continuous-time signals, and feedback. |
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Page 229
... obtain a shifted version of x ( t ) . If the phase shift is a nonlinear function of w , then each complex exponential will be shifted in a manner that results in a change in the relative phases . When these exponentials are superposed ...
... obtain a shifted version of x ( t ) . If the phase shift is a nonlinear function of w , then each complex exponential will be shifted in a manner that results in a change in the relative phases . When these exponentials are superposed ...
Page 347
... obtained by factoring the numerator and denominator of eq . ( 5.137 ) into products of first - order terms to obtain H ( N ) in the form Η ( Ω ) = N b 。 ÎI ( 1 + μμе ̄1o ) k = 1 N 1 ke - 10 ) a 。 II ( 1 + ηke ̄12 ) [ ( 1 k = ( 5.150 ) ...
... obtained by factoring the numerator and denominator of eq . ( 5.137 ) into products of first - order terms to obtain H ( N ) in the form Η ( Ω ) = N b 。 ÎI ( 1 + μμе ̄1o ) k = 1 N 1 ke - 10 ) a 。 II ( 1 + ηke ̄12 ) [ ( 1 k = ( 5.150 ) ...
Page 616
... obtain y ( t ) , we can expand y ( s ) in a partial fraction expansion to obtain 1 1 3 Y ( s ) = S + s + 1 5 + 2 Application of Example 9.16 to each term yields - y ( t ) = [ 1 − e ' + 3e - 2 ] u ( t ) 9.9 SUMMARY ( 9.132 ) ( 9.133 ) ...
... obtain y ( t ) , we can expand y ( s ) in a partial fraction expansion to obtain 1 1 3 Y ( s ) = S + s + 1 5 + 2 Application of Example 9.16 to each term yields - y ( t ) = [ 1 − e ' + 3e - 2 ] u ( t ) 9.9 SUMMARY ( 9.132 ) ( 9.133 ) ...
Contents
Introduction | 1 |
Signals and Systems | 7 |
Linear TimeInvariant Systems | 69 |
Copyright | |
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addition amplitude analysis applications approximation associated assume basic causal Chapter characteristics closed-loop coefficients complex exponentials consequently consider consists constant continuous continuous-time convergence convolution corresponding defined depicted in Figure derivative described determine developed difference equation differential equation discrete discrete-time discussed equal equation examine example expression fact feedback system Find Fourier series Fourier transform frequency response function gain given ideal illustrated in Figure important impulse response indicated input integral interval inverse Laplace transform linear lowpass filter LTI system magnitude method modulation multiplied Note obtain original output particular periodic periodic signal phase plot pole-zero plot poles Problem processing referred representation represented requires result root locus sampling sequence shift Show shown in Figure signal signal x(t sinusoidal sketch Specifically spectrum stable step Suppose system function z-transform zero