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 708
... root locus and that the same is true for K < 0. The reason for the existence of two branches is that for this example the closed - loop system is second - order and consequently has two poles for any specified value of K. Therefore , the ...
... root locus and that the same is true for K < 0. The reason for the existence of two branches is that for this example the closed - loop system is second - order and consequently has two poles for any specified value of K. Therefore , the ...
Page 710
... root locus either for K > 0 or for K < 0 , depending on whether it lies to the left of an odd or an even number of poles and zeros of G ( s ) H ( s ) . As one consequence of Properties 1 to 3 , consider a segment of the real axis ...
... root locus either for K > 0 or for K < 0 , depending on whether it lies to the left of an odd or an even number of poles and zeros of G ( s ) H ( s ) . As one consequence of Properties 1 to 3 , consider a segment of the real axis ...
Page 753
... root locus for K < 0 is plotted in Figure 11.13b . For some value of K , the two closed - loop poles are on the jw - axis . Solve for this value of K and the corre- sponding locations of the closed - loop poles by examining the real and ...
... root locus for K < 0 is plotted in Figure 11.13b . For some value of K , the two closed - loop poles are on the jw - axis . Solve for this value of K and the corre- sponding locations of the closed - loop poles by examining the real and ...
Contents
Introduction | 1 |
Signals and Systems | 7 |
Linear TimeInvariant Systems | 69 |
Copyright | |
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2π Ω amplitude modulation applications approximation bandlimited Bode plot cascade Chapter closed-loop poles closed-loop system complex exponentials consider continuous-time signal continuous-time system corresponding demodulation depicted in Figure difference equation discrete discrete-time Fourier transform discrete-time LTI system discrete-time signals discrete-time system example feedback system finite Fourier series Fourier series coefficients Fourier series representation frequency response given in eq illustrated in Figure impulse response impulse response h(t impulse train input x(t integral interval inverse Laplace transform linear system lowpass filter LTI system LTI system described magnitude modulating signal Nyquist obtain partial fraction expansion periodic signal periodic with period phase pole-zero plot Problem Re{s root locus s-plane second-order system Show shown in Figure signal x(t signal x[n signals and systems sinusoidal Specifically spectrum step response system function system of Figure system with impulse T₁ unit circle unit impulse x₁(t x₁[n z-transform zero