Consider the signal: x() 10 cos (30mt ) a) Determine the frequency and the angular frequency...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
Consider a sinusoidal signal?(?) = ? cos(?0? + ?). Here ?0 is the angular frequency of the signal and ? is the initial phase shift.a) Draw the time domain signal. (10 Marks) b) Given that the Fourier transform pair is ? ??? ℱ ↔ 2??(? − ?), find the Fourier Transform ?(?) of ?(?). Here ?(?) is the direct delta function. (12 Marks) c) Draw the Magnitude and phase spectrums of ?(?). (8 Marks) d) Find the Fourier Transform of ?(?) = ?(?)?(?)...
Find the fundamental angular frequency of the following discrete signal. x [n] = 36 cos (2.47m) + 18 sin (3.21m) (a) 0.2 (b) 0.4 (c) 0.27r (d) 0.4yr
Introduction to Wireless Digital Communication 44. Consider the following passband sinc pulse signal: (t) = 2sind(2x 107t) cos (4.8 × 10-t) (a) Determine and plot p()l, where Xpf) is the continuous-time Fourier trans (b) Find the complex baseband equivalent signal a() of p(t). Plot x(f)I, where zp 3.540) where sinc(a)) form of rp(t). Do not forget to label correctly. x(f) is the continuous-time Fourier transform of r(t). Do not forget to label correctly (c) Determine the absolute bandwidth of the...
Find the instantaneous frequency of the next signal at t = 4. (a) x(t) = 10 cos[20xt+10 sin(t/4)) (b) x(t) = 262719) () X(t)=10[cos(2nt) cos(atº/4) + sin(24t) sin( nt/ 4)] Suppose that the information signal is as shown in the following figure. When each modulating this signal using 100KHz as the carrier frequency, find the frequency shift and phase shift when FM is modulated with 5,=10. What is the maximum frequency shift and maximum phase shift? 0.5+ -0.5 ost Suppose...
Digital Signal Processing DFT Consider a speech signal x() that has the following frequency spectrum: xga) 1 + cos( -/100 a) Select appropriate values of N and T that will help us carry out DFT-based spectral analysis of this signal x401@) 800 such that the continuous-time frequencies are sampled no farther than 10 Hz apart. b) Ignore the issue of spectral leakage; under this assumption, provide a closed-form expression for the DFT of the signal using the values selected in...
(0point A sipnal st0)-S cos ( 210 m) is sampled at fi e of he signal. a Determine the numbers of samples taken in three normalized redienety sine signal stn) in term of cosine (notes: digital angular frequency c) Can signal x(t) be reconstructed ? Explain. c. (10 points) Find the inverse z transform of the following function in closed form. X(z) z +0.1z+0.16 (0point A sipnal st0)-S cos ( 210 m) is sampled at fi e of he signal....
P-3.8 Consider the signal ob d x (t) = 10 + 20 cos(21 (100)t + ) + 10 cos(21 (250)t) L (a) Using Euler's relation, the signal x(t) defined above can be expressed as a sum of complex exponential signals using the finite Fourier synthesis summation (3.37) Determine values for fo, N, and all the complex amplitudes, az. It is not necessary to evaluate any integrals to obtain ak. (b) Is the signal x(t) periodic? If so, what is the...
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a) Determine the fundamental period for each signal. b) Determine the fundamental period and fundamental frequency of the signal: y(t) = x;(C)x(0) (t) and x2(c) when the fundamental frequency is c) Determine the Fourier Series coefficients of defined as determined in part (b). d) Using Parseval's relation, determine the power of xy(t) and xy(t) e) Determine and plot the Fourier Series Coefficients of y(t). Show...
The signal x(t) 10 cos(2t (3300) t +0.2x)) is sampled at fs 8 kHz (a) Determine the sampled signal x[n]. (b) What would be the lowest possible sampling frequency for reconstructing x(0)? 4.