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1.2-4 For an energy signal x(t) with energy Ex, show that the energy of any one...
We are given the following information about a signal x(t) a) t) is real and odd. b)x(t) is periodic with period T 2 and has Fourier coefficients a a,-0 for Ikl > 1. d) 2 Identify two possible signals that satisfy these properties.
(a) Given the following signals: z(t) = { ={ex? exp(-kt) t> 0 0 t<0 sin(Ot) g(t) = **(t) art (i) Explain what the symbol * means in this context and write down the expression for the function y(t). (ii) Compute the energy of the signal x(t) in the time domain. (iii) Using the formulae 1 F[2(t)]() = k + 2ris F(II(t)](s) = sinc(s) It > 1/2 II(t) It < 1/2 sin(TTS) sinc(s) ITS compute the energy of the signal y(t)...
A signal x(t) is defined as; 3 0 -0.2 <t < 0.2 - 1.8<t< -0.2 To implement Fourier Series (t)---> (ults) -1 1 0 t---> (sec) (ii) To= Wo=- Do- Dn= Sketch D vs nw.. (vi) Sketch <D, (e.) vs nw.. (vii) Power of r(t) = (viii) Express x(t) as sum of Sine Waves, Cosine waves and DC (ix) Show that the expression found in part(viii) is real
compute the energy Ex of signal x(t) of x(t) = exp(t*(1+j*2*pi))u(-t), y(t) = Re{2x *((-5-t)/2)}
Please answer in MATLAB, thank you! 2. Calculate the energy of time domain signal x (t) and z (t) for the range of 0SIS2.5 Also calculate the energy of these signals in frequency domain using Parseval's theorem. Plot Energy (X) and Energy (Z) as a function of frequency f in a 2xl subplot (Energy vs frequency plot is know as energy spectrum of a signal). 2. Calculate the energy of time domain signal x (t) and z (t) for the...
Consider the signal x(t) = te-atu(t), a > 0 Find to = 1.00 /*(t)?|dt Find to = 10lx(t)2|dt Can simplify to → %*tx?(t)dt x2(t)dt
Problem 2. Determine whether the following signals are power or energy signals, or neither. Justify your answers. a) x(t)-Asint -00<t<oo b) x(t) = r(1)-r(1-1) c) x(t)-tu(t) d) x(t)- Aexp(bt) , b>0
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate interval (b) Compute and plot the short term energy for 10 successive blocks using a rectangular window of width 4 (c) Compute and plot the Zero Crossing Rate for 10 successive blocks using a rectangular window of width 4 Consider the continous time signal...
4. Given the following signals, a) (6 pts). Find the signal energy in the voltage x(t) = 10rect b) (6 pts). Find the average signal power in the following periodic voltage, x(t). Express your answer in dBV 4AAK x(t) 9 10 11 12 Given the following amplifier 22 kn 56 kn o ww x(t) c) (6 pts). What is the loss in decibels? d) (7 pts). If the input to the amplifier is 3cos(2T300t+25°) V, what is the output in...
4. (a) A particle in 1D has the wavefunction (x) = Ce-ex?12, where e > 0 and you may assume C > 0. i) Find the normalisation constant C. [4 marks] ii) For small e > 0, show that y is approximately a zero eigenvector of the momentum operator Ộ, i.e., show that lim lôy || = 0. €0+ Hint: for a > 0, recall that Se-ax?dx = Vola and Sox?e-ax?dx = Vra-312 [6 marks] (b) Let Ê be a...