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amplitude modulation approximation Bode plot Butterworth filter cascade causal LTI system Chapter closed-loop poles closed-loop system complex exponentials continuous-time signal continuous-time system corresponding demodulation depicted in Figure difference equation differential equation discrete discrete-time Fourier transform discrete-time LTI system discrete-time signals discrete-time system example expression feedback system finite first-order system Fourier analysis Fourier series coefficients Fourier series representation frequency response given in eq H(co H(Sl illustrated in Figure impulse response impulse train input x(t integral interval Laplace transform linear combination lowpass filter LTI system described magnitude modulating signal multiplied Nyquist obtain partial fraction expansion periodic convolution periodic signal periodic with period phase pole-zero plot problem root locus s-plane second-order system Show shown in Figure signal x(t signal x[n signals and systems sinusoidal Specifically spectrum stable step response system function system of Figure system with impulse unit circle unit impulse values X(co X(Sl z-transform zero
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BVK Vijaya Kumar, L Hassebrook
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