1.22. Determine the normalized energy of each of the signals shown in Fig. P.1.2. Ta (t)...
2.4-2 For the signals g(t) and x(t) shown in Fig. P2.4-2, find the component of the form x(1) contained in g(t). In other words, find the optimum value of c in the approximation gít) cxít) so that the error signal energy is minimum. What is the resulting error signal energy? SIGNALS AND SIGNAL SPACE re P.2.4-2 х(t) “ И Б (а) (b)
A digital communication system uses the signals si(t) and s2(t) shown in Fig. 1 to t equally likely bits '0' and '1', respectively. The signaling duration is 4 seconds. The receiver uses a filter h(t) shown in Fig. 2 s1 (t) s2(t) 0 Figure 1: Set of signals in Problem 1 h(t) 0 Figure 2: h(t) in Problem 1 (a) Determine the parameter ri for this system. HINT: Remember that ri is equal to this convolution 81(t) * h(t) evaluated...
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic. If periodic, • Even, odd, or neither. If it is neither, specify To. decompose it into even part Ev{x} Energy signal, power signal, or and odd part Od{x} and sketch them. neither. Find the total energy E. and average power PC- 12 -1<n<1 (a) xa n] = lo otherwise (b) xo(t) = xy(t) + x2(t), where x,(t) and x2(t) are the signals shown below:...
Determine whether the following signals are power to energy signals or neither. a.) y(t) = r(t) = tu(t) (ramp) b.) z(t) = delta(t) (triangular pulse)
2. There are two PD control-systems as shown in Fig. 2. Assuming time constants (T 1/???) are 2 (sec) and the damping ratios (3) are 1 (a) Find ?(s)s of the PD control-systems by using Ta and a, (b) Evaluate the values for Kp and KD for each system. (c) Compute the errors for each system with the ramp input (a,-1/s2) and the zero disturbance (Td0) (d) As the input is the unit-step input and the disturbance is zero, compare...
1.35 Determine if each of the following signals is a power signal, an energy signal, or neither (а) х1() — [1 —е 2] u(0) (b) x2(t) 2 sin(4t ) cos(4t) (с) хз(t) — 2 sin(3t) cos(4t) 1.39 Compute the average power of the following signals (a) x eat for real-valued a (3 j4)e7 (b) х2(г) _ * (с) с х3(t) — eјЗejSi
please solve the question. 2.744 For each of the periodic signals shown in Fig. P2.7-4. find the exponential Fourier series and sketch the amplitude and phase spectra Note any symmetric property. 1130.2920 3:3733 Figure P.2.7-4 -S Scanned wit-7 CamScanner GAA Scene CamScanner
6. Consider the circuit in Fig. 1.2. The switch is closed at t = 0. Determine i(t) and vitit e(t) = 10 e 'V. SHIFT e(t) = 10e va 3 Vut) Figure 1.3 +4 i(t) = +4 v (t) =
8.4 Determine a set of orthonormal functions for the four signals shown in Figure P-8.4 You may determine these functions by inspection. s2(t) s1(t) s4() s3(t) Figure P-8.4
subject: signals and systems 2. Consider the electric circuit shown in Fig. ??, L = 1H, C = 1F. • Determine the differential equation that relates the input (t) to output y(t). Recall that ic(t) = C2C and vy(t) = • Find the characteristic equation for this circuit. • Determine the zero-input response given an initial capacitor voltage of one volt and an initial inductor current of zero ampere. That is, find yo(t) given uc(0) = 2V and iL(0) =...