(1 point) In the parts below your answer must be entered using sqrt (Use of sin() and cos () is disabled.) A) Compute the discrete Fourier transform off2 -t on [0, 2) with length 4 (B) Compute the di...
(47 points) In the parts below your answer must be entered using sqrt() (Use of sin() and cos() is disabled) (A) Compute the discrete Fourier transform of f = -(2t + 1) on (-2, 0) with length 4 F{f} = (( 9 9 (B) Compute the discrete Fourier transform of g = -(2t + 2) on [1, 4) with length 3 3
(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...
1. Draw frequency domain representations (sketches of the real and imaginary parts of the Fourier transform) for both cos(2*pi*fc*t) and sin(2*pi*fc*t), for a carrier waveform. ____________________ Now suppose we have a sinusoidal signal of frequency fi, where fi << fc. Let the signal be m(t)=cos(2*pi*fi*t) and the carrier be cos(2*pi*fc*t). Say we mix m(t) up to carrier frequency fc when we multiply m(t) by the carrier to create the modulated signal, s(t) = m(t) * cos(2*pi*fc*t). Draw the real part...
Question 4 (2 marks) Attempt 1 Find the Fourier transform of. cos(19)e7t j(t)= Your answer should be expressed as a function of w using the 2Tt correct syntax. Fourier transform Skipped is F(w) =
Question 4 (2 marks) Attempt 1 Find the Fourier transform of. cos(19)e7t j(t)= Your answer should be expressed as a function of w using the 2Tt correct syntax. Fourier transform Skipped is F(w) =
Express the function below using window and step functions and compute its Laplace transform. 0, 0<t<3 2, 3<t<5 g(t) = 6, 5<t<8 4, 8<t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. O A. g(t) = 2ut - 3) + 6(t-5) + 4u(t-8) B. g(t) = 2113,5(t) + 6115,8(t) + 4u(t-8) O c. g(t) = 2113,5(t)...
What is the Fourier transform of:
Your answer should be expressed as a function of w
using the correct syntax.
Fourier transform is F(w) =
16 / (t)-sin(18t)? Question 2 (1 mark) Attempt 1 What is the Fourier transform of: f(t)-5-isin(18t)? 3Tt Your answer should be expressed as a function of w using the correct syntax. Fourier transform is F(w) = skipped
16 / (t)-sin(18t)?
Question 2 (1 mark) Attempt 1 What is the Fourier transform of: f(t)-5-isin(18t)? 3Tt Your...
Need solution pls...
2. Find the Fourier transform of f() = {6 1 – 12 \t <1 1t| > 1 Use the first shift theorem to deduce the Fourier transforms of e3jt (1-12) 11 <1 (a) g(t) 1t| > 1 {" (b)h() = {**"1 –1) "151 It| > 1 Answer: 63 4 cos o 4 sin o + -62 -4 cos(w – 3) (a) (0 – 3)2 -4 cos(w – j) (b) (w – j)2 + 4 sin(0 – 3)...
Please finish these questions. Thank you
Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
4. The Fourier transform of a rectangular pulse 1 비 r/2 0 otherwise is given by (a) Use pr(t) and properties of the Fourier transform to find the Fourier transform, D(w), of d(t) shown below, in terms of P(. First state the approach that you are using to find D(), then show all of the details. d(t)
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...