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Which of the following signals are periodic: 1 X1(t) = sin...

Which of the following signals are periodic: 1 X1(t) = sin(20trt) 2 x2(t) = sin(31t) 3 X3(t) = X1(t) + X2(t) 1 1. periodic 2. not periodic 2 1. periodic 2. not periodic 3 1. periodic 2. not periodic 4 What is the period of the harmonic signal x[n] = e -j0.3nm 1.5 2. 10 3.20 43. ...

Example 2: Discrete Convolution As a further example, consi...

Example 2: Discrete Convolution As a further example, consider the two sequences x[n] = 1, 0 V n V 4 0, otherwise and h[n] = ", 0 <n<6 0, otherwise signals are depicted for a positive value of a > 1 In order to calculate the convolution of the two signals, it...

QUESTION 1 L R1 + i_(t) + Vin(t) C R2 vo(t) - - ...

QUESTION 1 L R1 + i_(t) + Vin(t) C R2 vo(t) - - Figure Q1 Consider the circuit shown in Figure Q1. The input is Vin (t) The output is vo(t). The differential equation that governs the behaviour of the circuit is d2vo (t) (R1 + R2) R2 dt² o 2 + + vo(t) = R1LC Vin (t) R1LC dt R1...

c) Assume data are transmitted in a binary communication ch...

c) Assume data are transmitted in a binary communication channel in blocks of 16 binary digits. Assuming that errors occurring in various digit positions within a block are independent, and the probability of a bit in error is Pe = 0.075. (iii) We want to introduce forward error correction cod...

a) Explain how one can still use fixed uniform quantizers w...

a) Explain how one can still use fixed uniform quantizers when the information signal does not have a uniform PDF. (2) b) Consider an audio signal which will be digitized and quantized to obtain a PCM signal. Assuming that the sampling rate is 8000 samples/s and the required output signal-to-...

8.9 Determine (a) the average and (b) rms values of the per...

8.9 Determine (a) the average and (b) rms values of the periodic voltage waveform shown in Fig. P8.9. v(V) 4 3 2 1.5 1 t (s) 1 2 3 4 5 6 7 8 Figure P8.9: Waveform for Problem 8.9. 8.14 The current waveform shown in Fig. P8.8 dissipates average power at a rate of 3.2kW when connect...

Question 1 (9 points) Given a recursive system depicted in ...

Question 1 (9 points) Given a recursive system depicted in the figure below. x (n) y(n) + -3/4 Z 1 (a) 1p Write down the difference equation describing the system. (b) 1p What is the impulse response of the system? Suppose that the system is implemented with fixed-point arithmetic based on ...

1. Consider a C.T. system below. (Assume all initial conditi...

1. Consider a C.T. system below. (Assume all initial conditions are zero). (a) Find transfer function, H(s), for the system. (include all detailed steps, no points for just the answer). dt2 + 4 dt (b) State Response, y2s(1) when the system when input just signal the answer). is x(t) Find = Zero...

Question 1 (12 points) (Show all your work) A digital lin...

Question 1 (12 points) (Show all your work) A digital linear time-invariant filter has the the following transfer function: 5+5z-¹ (1-25-1)(1+)2 [z| > 1/2 a) Is this filter an IIR or FIR? Explain. (1 point) b) What is the order of this filter? (1 point) c) Is this filter stabl...

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