Calculate the energy of the following signal g(t).
g(t) = 2 for -1 < t < 0
= 2 exp(-t/2) 0< t < inf
Calculate the energy of the following signal g(t). g(t) = 2 for -1 < t <...
2.51 (a) The root mean-square (rms) bandwidth of a low-pass signal g(t) of finite energy is defined by 0O 1/2 rms where G()2 is the energy spectral density of the signal. Correspondingly, the root mean- square (rms) duration of the signal is defined by rms- &(t) dt Using these definitions, show that Assume that Ig(t)| → 0 faster than 1 / Vlt! as lt-oo (b) Consider a Gaussian pulse defined by g(t) exp(-I2) Show that, for this signal, the equality...
3. Assume the signal x(t) = 5.e-2 u(t) V. (a) Calculate the signal energy (on a 1-ohm basis) over the time interval from - to too. (b) Calculate the signal energy (on a 1-ohm basis) over the frequency range from - to too. (c) Repeat part (b) over the frequency range from -2 to +2 Hz. (d) Do your answers in parts (a), (b), and (c) make sense? Explain.
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)}
compute the energy (Ey) of signal y(t) given x(t) = exp(t*(1+j*2*pi))u(-t), y(t) = Re{2x *((-5-t)/2)}
Let the signal x (t). Calculate the following: a. Energy in an infinite time interval. b. Power in an infinite time interval. c. Energy in the time interval −1 ≤ t ≤ 3. d. Power in the time interval −1 ≤ t ≤ 3. 1 1 2 3 |
Use direct integration to find the Fourier transform G(f ) of signal g(t) = exp (-2|t −3|).
(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)...
3. (45 pts) On signal energy and power. From the following signals, identify energy signals and power signals. For energy signals, calculate their energy. For power signals, calculate their average signal power. (g) x(t)= rect(t)) (h) x(t) =Loo rect(A) (i) 2(t)=e(-1-j80%(t) (k) x(t) = e-M/2 (l) x[n] = e-jm/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...
Find the energy of the signal g(t) Find the bandwidth (W) if 90% of the energy is contained in frequencies below W g(t) = e-atu(t)