Problem 6. Find the Nyquist rate of the following signals (a) (t)= 1 cos(1000t)cos(3000t) sin(4000Tt) (b)...
2. Determine the Nyquist rate for the following signals sin(4000nt) (a) x(t) = (b) x(t) = 2 + cos(1000nt) – sin(3000mt +-1 it 3 4
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]
Signals and Systems Nyquist Rate of signal is? X(t) = sin( 500 TT4) Sin caso trd) Tit + cos² (1000it) sin (400 T7E) Tt
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the sampled signal if the sampling rate is 25% higher than the Nyquist rate. a.) ft)sinc E 2T 10 b.) h)=sinc 2T For all the following, use ft) given in part a.) c.) glt)= f(l-7) d.) c(t)- f)cos() 1 e.) x(t)= fit)+ _ sinc (t 4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the...
4.2.1 For each of the baseband signals: (i) m(t) = cos 1000πι; (ii) m(1) = 2cos sin 2000Tr; (ii) m(t) cos 1000t t cos 3000T t, do the following. (a) Sketch the spectrum of mt). (b) Sketch the spectrum of the DSB-SC signal mt) cos 10.000π. (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...
Find the Nyquist rates for these signals: (a) X(t) = sinc (20) (b)x(t) = 4 sinca (100t) (C) x(t) = 8 sin(50TTT) (d) x(t) = 4 sin(30TTt) + 3 cos(70nt) (e) X(t) = rect(300t) (f) X(t) = -10 sin(40nt) cos(300Tt) (g) X(t) = sinc(t/2)*710(t) (h) x(t) = sinc(t/2) 70.1() (i) X(t) = 8tri((t - 4)/12) (1) X(t) = 13e-201 cos(70TTt)u(t) (k) x(t) = u(t)-u(t-5)
9. Find the phasor equivalents of the following currents: (a) ii(t) = 10 cos(1000t + 30°) i2(t) = 5 cos(10000) + 5 sin(1000t).
Problem 1. Determine vc(t) and iL(t) for the following circuit if is1 = 0.04 cos(1000t) and is2 = 0.02 cos(1000t − 90o ) Assessment Problem 1. Determine v.() and i.(t) for the following circuit if i 0.04 cos(10001) and i, -0.02 cos(1000t -909) 100mH 200Ω 2002 200Ω HI Assessment Problem 2. Determine the Thevenin equivalent cireuit for the tollowing as ming that w 100 rad/ec 4Ω 112. 10mE 20mH
1. (15) By the Sampling Theorem the Nyquist sampling rate must be twice the highest bandwidth of the message signal. For the three message signals below determine the Nyquist rate and the Nyquist interval for each. a) m(t) = 0.5 cos(150 ) + sin(300Ft) + 0.75 cos(350ft) b) m(t) = 2 cos(120rt) sin(3007) c) m(t) = sinc(4000) = sin(400m) Recall: the Fourier transform of a sinc waveform is a rectangular pulse
1. Find the CTFT of the following signals 0 otherwise cos(40rt) sin(10Tt = e-10t (b) x(t) = ) ( c) x(t) u(t) + e10ta(-t + 1)