2) Find the Fourier series of the following continuous time signals S: 2? C. Isin(nt)L
2. Derive the Fourier series expansion for each of the following discrete-time signals:
2. A continuous-time periodic signal with Fourier series coefficients c^ = and period T, 0.1sec pass through an ideal lowpass filter with cut off frequency =102.5Hz. The resulting signal y, (t) is sampled periodically with T 0.005 sec determine the spectrum of the sequence y(n) = ya(nT)
Find the discrete-time Fourier Series for the following periodic signals: 3. 4 cos 2.4n n + 2 sin 3.2n n x[n] a. xn 0 12 15 6 b. xn 2N No 2N C.
6) If a continuous-time periodic signal has the Fourier series coefficients ak, where k = 0, +1, +2, +3,..., derive the Fourier series coefficients bk of the following signals in terms of aki a) <(-t) b) x*(t) c) x(t – t.) where t, is a constant e) (t) dt In part e), assume that the average value of x(t) is zero.
Find the Continuous Time Fourier Series of an even continuous rectangular wave signal with peak to peak amplitude 15, Tf=100HZ, T0= 10% of Tf, average value=0 with Tf=T0
Find a complex Continuous Time Fourier Series (CTFS) which is valid for all time for the following signal below. Plot the magnitude and phase of the harmonic function versus harmonic number, k, then convert the answers to the trigonometric form of the harmonic function. ?(?) = ?????(??) ∗ ????(?)
9. Find the Fourier series coefficients and Fourier transform for each of the following signals: a) x(t)= sin(10nt+ b) x(t) = t) 1 + cos(2π cos (2rt S2n
pls show steps, will rate best and clearest answer thx Find the Fourier series representations of the following signals. Express your answer in a real form 0O (a) )o-3n) x(t) - noo t- 5n (c) The signal illustrated below, -1 0 2 34 Find the Fourier series representations of the following signals. Express your answer in a real form 0O (a) )o-3n) x(t) - noo t- 5n (c) The signal illustrated below, -1 0 2 34
Q. 2 A continuous time signal x(t) has the Continuous Time Fourier Transform shown in Fig 2. Xc() -80007 0 80001 2 (rad/s) Fig 2 According to the sampling theorem, find the maximum allowable sampling period T for this signal. Also plot the Fourier Transforms of the sampled signal X:(j) and X(elo). Label the resulting signals appropriately (both in frequency and amplitude axis). Assuming that the sampling period is increased 1.2 times, what is the new sampling frequency 2? What...
1. Solve the following problems using Fourier Series, assuming L = 1: y" + 4π2y = cos(nt) 1n F(t)-ΊΟ, t < 0 1, t20 " y+ 2y F(t), where 1. Solve the following problems using Fourier Series, assuming L = 1: y" + 4π2y = cos(nt) 1n F(t)-ΊΟ, t