(a) Plot the signal x(t) and find the Fourier series coefficients {X} for x(t) using the integral equation. 3 5 x₁ (t) = cos(t)[u(t) — u(t− 2)], T = 2

Q: 1 Find the convolution of two rectangular pulses given in Figure. f(t) 1,0 3 2

A:

Q: Calculate the Fourier transforms (X (jw)) of the continuous time x (t) signal below. The signal in…

A:

Q: 0 -π<t<0 la-t 0<t<a f(t) =<

A: Given Data: A continuous-time signal of, ft=0-π&lt;t&lt;0π-t0&lt;t&lt;π To Find: Fourier Series…

Q: Q1) Determine and sketch the double side spectrum, up to the third harmonic, of the continuous-time…

A:

Q: The power of the periodic signal m(t) shown in the figure above  is: Group of answer choices

A:

Q: If (t) = etu(-t),what is its Fourier Transform? 3+jw

A:

Q: 2. Discuss the periodic function f(t)given below with respect to being an even, odd or neither even…

A: We need to tell about the given function is odd or even or neither odd or even. We know definition…

Q: 5. With f(t) = sinc(t), Obtain Fourier transforms of the following functions. (a) (t)

A:

Q: Fourier Transform: 1. Find the Fourier transform of the following signals: a. x(t) t2 for 0<t<1;…

A:

Q: 1. Find out the Fourier Transform of the following signals: (a) x(t) = 1 (b) x(t) = sgn(t) (c) x(t)=…

A: we need to find out the fourier transform of the given signals.

Q: x(t) = sinc(t). The energy of the signal y(t) = x(t) * x(t) Let

A:

Q: It is given that f(t)=t3 over the interval –2&lt;t&lt;2 s. Write the Fourier series for f(t) if f(t)…

A: The new function with time shift is: For the interval, the function f(t) is odd function. Thus, the…

Q: 5. Compute the fourier Series of the following function: S(1) -7,0st<T S(t +T) = f(t) %3D (a) Also…

A: Consider the given expression,

Q: - M) 0 ≤ t≤ M 0 otherwise f(t) = {2(t-M) }

A:

Q: c. Calculate the ripple of a capacitor filter for a peak rectified voltage of 30 V, capacitor C = 50…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: x(t) 1 Consider the above figure which shows one period of the periodic signal r(t). Draw the…

A: Given the figure: We need to draw the magnitude and phase spectrum of x(t) for all frequencies…

Q: Don't use ai to answer I will report your answer.. Solve it As soon as possible with explanation

A: Step 1:  Step 2:  Step 3:   Step 4:

Q: .Draw the logic diagram for the given Boolean equation using only NOR gates. Use as few gates as…

A: Given Boolean equation F=A’B’+CD we have to draw the logic diagram using NOR gate

Q: Determine whether or not each of the following signals is periodic. If a signal is periodic,…

A:

Q: 5. With fAt) = sinc(t), Obtain Fourier transforms of the following functions. %3D (d) (t) cos(10t)

A:

Q: 1-b)Calculate the Fourier transforms of the following continuous time y (t) signals in terms of…

A: y(y)=t2 sin(t-2)π(t-2)x(2t)x(t)↔X(jw)t2X(2t)↔-1 2 X (jw2)Let take h(t)= sin(t-2)π(t-2)…

Q: b)ls the following signal periodic, if periodic find its fundamental period - (;):c x(b) = 4Cos"(특t)…

A: We need to find out time period for given signal .

Q: It is given that f(t)=t3 over the interval –2&lt;t&lt;2 s. Derive the Fourier series for f(t).

A: Given  f(t)=t3with interval-2&lt;t&lt;2 s

Q: Q2. Find the exponential Fourier series for f(t) = {1 Fourier series. 0 < t < 1 1 < t < 2 then find…

A:

Q: Sketch the continous time signal  u(2t+3)

A: Write the expression for the unit step signal, Now, draw the graph of the unit step signal versus…

Q: 3. Find the inverse Fourier Transform, including workings for their conditions, for the followings:…

A: The Fourier transform of signal is shown below:

Q: Given the function f(x) = 3x² – 2x on the interval -3 ≤ x ≤3 (a) Find the Fourier series expansion

A:

Q: Q5: find the Fourier series of the following equation - 1< x < 0 (-x f(x) = {x 0 <x < 1 %3D 1<x < 3…

A:

Q: x(t) = e/[(x/2)t-1]

A: Given: x(t)=e j[(π2)t-1] To do: Determine whether x(t) is periodic or not. If the signal is…

Q: Example (9)_Find the Fourier series for t 0<t< 5, 0 <t< f(t)

A:

Q: Sketch and determine the energy of the given signal. A. y(t) = u(t)- u(t-10)

A: According to the given question, it is required to determine to sketch the below given signal along…

Q: Plot the signal (t) = 3, 7cos(2m2t) x [u(t - 0) – u(t - 3)]. IMPORTANT: Pay attention to the…

A: The signal u(t-0) is obtained as,

Q: Q4: Find the autocorrelation and the cross-correlation function for the following periodic…

A: Given the two signals as shown below: We need to find the auto-correlation and cross-correlation…

Q: Q2. Apply the Fourier transform to find V(t) in the circuit presented below. 292 ww e-2¹u(1) V (1)…

A:

Q: Determine whether or not the following signal is periodic- ∞ _x3[n] = ∞ {8[n- 4k] - 8[n - 1 - 4k]}

A: A discrete time signal,we need to determine whether the signal is periodic or not?

Q: Find the time-domain periodic signal corresponding to the following Fourier transform…

A: FT = Fourier transform    IFT = Inverse fourier transform    X(jw) = FT of x(t).    x(t) = IFT of…

Q: Find the Fourier Series of g(t) = 2t2 -180°<t<180°

A:

Q: Find the trigonometric Fourier series of a periodic signal x(t) defined by x(t) = 12, -7 <t <T and…

A:

Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.