
Find the energy of the signal g(t)
Find the bandwidth (W) if 90% of the energy is contained in frequencies below W

Find the energy of the signal g(t) Find the bandwidth (W) if 90% of the energy...
Please answer in details
For the signal 2a 6. g(t) t2 + a? Determine the essential bandwidth B Hz of g(t) such that the energy contained in the spectra component of g(t) of frequencies below B Hz is 99% of the signal energy Eg, Hint: Determine G) by applying the duality property to pair 3 of the Fourier Transforms' Table.
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...
10 pts Question 3 A signal has a single-sided bandwidth of W - 90 kHz. If this signal is sampled at the Nyquist rate ( fs - 2W samples/sec) and PAM encoded what is the minimum required bandwidth needed for a channel to transmit this signal?
4. (25 pt) Given a signal, g(t) 10eStu(t) (a) Find the Fourier transform of the signal, G(). (b) What is the Energy Spectral Density (ESD) of the signal, e().Plot the variation of ESD with frequency using the frequency range of [-3,3]. (c) Determine the signal energy Eg of the signal using Parseval's Theorem.
there is no img...
Que 3 A bandpass signal g(t) of bandwidth B Hz centered at f 104 Hz is passed through the RC filter in Example 3.16 (Fig. 3.26a) with RC = 10-3. If over the passband, the variation of less than 2% in amplitude response and less than 1 % in time delay is considered to be distortionless transmission, determine what is the maximum allowable value of bandwidth B in order for g(t) to be transmitted through this...
Given a signal g(t) = 20 cos(140πt): a. Calculate the signal bandwidth. b. Can the Signal be recovered if sampled at a rate (fs) of 200 samples per second? Justify your answer mathematically. c. With fs = 200 samples per sec and quantization levels (L) = 8, calculate the first 3 samples, first 3 quantized samples, and the binary codes of the first 3 samples. Assume sampling starts at t=0 and natural binary code is used.
4- Find the auto-correlation function of the signal g(t) = e-at
u(t). From this determine the energy
spectrum density of g(t).
4 Find the auto-correlation function of the signal g(t) = e-at u(t). From this determine the energy spectrum density of g(t).
Consider the signal x(t)=sinc(2000t) a. Find X(w), which is the fourier transform of x(t). b. Find |X(w)|, which is the magnitude of X(w). c. sketch |X(w)| versus w. d. which frequencies ( in Hz) are present in x(t)?
Suppose that € m(t) = 5cos3000πt is the message signal to be frequency-modulated. a) Calculate the bandwidth of the modulated signal, if the modulation is NBFM. b) For WBFM with bandwidth € BFM ≈ 2Δf , find the smallest value of € kf . (Let > mean “at least ten times” smaller and greater, respectively). c) For the value of € kf found in (b), what is the bandwidth of the modulated signal?
Given a message signal m(t) with a bandwidth of 4kHz and a Power of 1W, find the post-detection SNR (Signal-to-noise Ratio) in [dB], of the Amplitude Modulated Signal: s(t) = 10*(1+0.5*m(t))cos(