- 1 A Consider A Discrete Time Signal Given By 1 X N 28 N N 1 Sketch The Waveform Of The Signal X N And Determ 1 (58.33 KiB) Viewed 39 times
1. (a) Consider a discrete-time signal given by (1) x[n] -28[n] [n 1]. Sketch the waveform of the signal x[n] and determine its energy and power levels. (ii) The signal x[n] is passed through a system to produce the output signal y[n] given by y[n] = =-²/x (²²2²¹] Sketch the waveform of the signal y[n] and determine its energy and power levels. (iii) A periodic signal z[n] is obtained by repeating the signal x[n] for every 4 samples, i.e., z[n] = 00 Σ x[n- 4m]. m=-00 Sketch the waveform of the signal z[n] and determine its energy and power levels. (b) An input signal x(t) = {3+ t} x {u(t + 3) - u(t-3)} is passed through a device to produce an output signal given by y(t) = x³ (t). (i) Sketch the waveform of the signal x(t). (ii) Determine the even and odd components of the signal x(t). (iii) Explain whether this system is linear.