Derive the frequency spectrum of the following by hand:
Derive the frequency spectrum of the following by hand: a. Derive the frequency spectrum of a...
The input voltage for the next circuit is a train of rectangular pulses x(t), where the pulses are asymmetric w.r.t. the origin, the width of each pulse is 271= 0.025s and the period is T=0.1s. 1 asymmetric pulses 0 2T1 T T+2T1 Please calculate the linear fundamental frequency fo for this train of rectangular pulses. Include proper unit for fo. Also explain why a train of rectangular pulses has a fundamental frequency
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
When a baseband signal m(t) = cos(1000t)cos(3000t) is AM modulated using a carrier cos(10,000t), a) Find the frequency components in the baseband signals and in the AM signal. [2] b) Sketch the spectrum, carefully label the graph. c) Find the power efficiency, n. [1] [1]
For the baseband signal m(t) = cos(1000πt) cos(3000πt), do the following. (a) Sketch the spectrum of m(t) (b) Sketch the spectrum of the DSB-SC signal m(t)cos(10, 000πt). (c) Identify the upper sideband (USB) and the lower sideband (LSB) spectra. (d) Identify the frequencies in the baseband, and the corresponding frequencies in the DSB-SC, USB and LSB spectra. Explain the nature of frequency shifting in each case.
QUESTION 3 What statement best describes the following magnitude spectrum: X,(2) max max S max O A spectrum of a train of complex triangular pulses O A spectrum of a complex continuous-time non-bandlimited signal O A spectrum of a real discrete-time signal uniformly sampled with the rate above Nyquist O A spectrum of a complex continuous-time bandlimited sig O A spectrum of a train of real rectangular pulses O A spectrum of a complex discrete-time signal uniformly sampled with the...
Please write clearly
Expert Q&A Done 6. (A) What is an amplitude modulation (AM)? [) A baseband message signal mt) is shown below. b shows the frequency spectrum of mýtj. A carrier signal cost was used in DSB-SC AM moduition of m/t). Describe how the modulated signal can be created (is) Draw the frequency spectrum of modulated signal. (iv) Describe how the message signal demodulated and recovered at the receiving side. (4 5 20 points)
A cellular system is operated at a carrier frequency of 1.9 GHz. For a mobile user traveling at a speed of 100 km/hr (a) Determine the maximum Doppler frequency,fo (b) In what situation, the Doppler frequency would equal to 0 Hz? (c) In what situation, the Doppler frequency would equal to fo2? (d) Assuming that the received power is P, - 0 dBm, draw the baseband power spectrum given below else
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
PROBLEM 12 The message signal m(t) is a rectangular pulse of unit amplitude and duration T (centered about the origin). The radio-frequency (RF) pulse defined by s(t) = {4_cos(wt), -āsts 1 0. Otherwise a) Drive a formula for the spectrum of s(t) and v(t) assuming that WT. >> 211 b) Sketch the magnitude spectrum of s(t) for w.T. = 20 The below figure describing the modulation and the demodulation of the m(t) signal. VO mo Product modulator Product modulator Low-pass...
Using QAM we wish to transmit the following baseband message signals Bcos (w t a) Show the time and frequency domain expression for the transmitted signal. Also, plot the magnitude of the frequency domain representation of the signal. b) On the receiver end, we demodulate the received signal by multiplying with 2cos(Wet +Au). Derive the expression of the demodulated signal in the time domain, before low-pass filtering. c) Derive the Fourier Transform of the demodulated signal.
Using QAM we wish...