Prob 5 (continued): with message signal m(t): m(t) 10 cos(20mt) + 6 sin(60rt) (8 points) Write an equation (do not spend time simplifying! can be in terms of both sin0 and cos0 functions) for the LSB-SSB signal if the message signal is modulated by carrier at 100 Hz: e. (6 points) Sketch the double-sided magnitude spectrum for the LSB-SSB signal (you do not necessarily need the equation from part (d) to draw this, you can go off your knowledge of...
Q2 Consider a communication signal x(t) described by the following mathematical expression: x(t)=2 cos(2000) + 4 sin? (2000) – 2+4rec(t)cos(6000mt) Analyse the communication signal x(t) then consider the following: (i) Determine the Fourier transform of the signal x(t). (ii) Plot the double-sided amplitude spectrum of the signal x(t).
draw the double sided spectrum for the signal given x(t)= 1+sin(2pi10t) + 2cos(2pi20t) + cos(3pi60t + pi/3)
Answer both problems please. Problem 5 Accurately sketch the following function and evaluate the integral 15 Points - (s(6-(4) W 3W x(t) A tri 3W W A tri dt Xo= Problem 6: Accurately sketch the double-sided Amplitude and Phase Spectrum of the following signal. Consider f > f 15 Points A cos(2t ft - <p)cos(2t f,t - <p,) x(t)
TT 1) Consider the following signal x(t) = -5 + 9 sin (61t + 3 cos(12nt) + V V7ej24nt a) (5 points) Write the complex exponential Fourier series for x(t). b) (5 points) Sketch the amplitude and phase spectra of x(t). c) (5 points) Find the total average power of the signal.
Q1. A single-tone FM signal which can be expressed as, s(t) = 4, cos[2oft+ß sin(21f „t)] is applied to a square-law device with output voltage v2 related to input voltage vi by vz(t)= av (t) where a is a constant. a. Determine analytic expression of the output signal. b. Explain how such a device can be used to obtain an FM signal with a greater frequency deviation (Af) than that available at the input. Q2. The spectrum of a message...
How to find the fourier series and sketch the spectrum x(t) Help me to find the laplace transform for a and b Help me to find system response Question 1 (8 marks) a) Determine the Fourier series coefficients of the periodic signal x(t) shown in Figure 1. Determine the de value of x(t)! b) Sketch the spectrum of x(t). x(t) -352 10 T2 31/2 -A Figure 1 O XU) RUOLO elsewhere exe(t) = el, a > 0 1) Sketch the...
Question 1: (Sampling and Aliasing Effeet) (25 Marks) The given analog signal x(t)--sin(16xt)+ sin(11xt)+ sin (5nt), where t is in milliseconds, is sampled at a rate of 12kHz. The resulting samples are immediately reconstructed by an ideal reconstructor. a. Find and sketch the spectrum of x(t) versus Ω. b. Find and sketch the spectrum of the sampled signal versus o. c. Determine the analog signal x (t) at the output of the reconstructor. d. Prove the x(0) and x(t) having...
Problem 2 125 Marks Given the following periodic signal: 5-3-2 e) a- Find the trigonometric Fourier series, sketch the amplitude, and phase spectra. [15 Marks] Student b- Does the signal has a de component? Exp Explain. [5 Marks] If you are given the signal x(t) = tu (t). Can we write the Fourier series of the signal in the period 0 t < 1? Explain. [5 Marks] c-
An information signal is of the form s(t) = sin(2*pi*t)/t. The signal amplitude modulates a carrier of frequency 10Hz. Find and sketch the Waveform and Fourier transform of the transmitted signal before and after AM modulation. For AM modulation you can consider the simple case of DSB format (or double-sideband suppressed carrier modulation).