Problem 1: Find Xo),the DTFT of sinlFndi' Z transfomn and DTFT. Plot its amplitude frequency spectrum...
1. Use the MATLAB command freqz to calculate the DTFT of System 1, to find its frequency response 0.25r[n] + 0.25r|n -2]. H(). For this exercise, System 1 has a different difference equation yn] Find H1 (w) for- aK π, with frequency steps of Δα-π/100. 2. Plot both the magnitude |H1(2)| and the phase LH1(w) vs w, for-π < ώ < π. Use abs and angle commands to obtain magnitude and phase. Label and title both plots and include in...
Find the DTFT of x[n] = δ[n-2] and plot the |X(Ω)| for -π < Ω <π. If you use a property please state it.
Problem 3.) Find and plot X(w) and X(w), the magnitude and DTFT for the signal x[n] given by a) b) x[n]= cos(-n) x[n]-(-1)" (a)"u[n] for 0< a〈 1
Find the DTFT of x[n] = (0.5)n cos(3n)u[n] and plot the |X(Ω)| for -π < Ω <π Please state the properties used
2. Find the inverse DTFT of each trasform specified below, for-π < Ω < p -i, ipi < 0.2π 0, Otherwise (a) 5 points: X(Ω) (b) 5 points: X(Q)=
Problem 2 (Spectrum of a rectangular signal): In this problem, the amplitude spectrum of the signal 1 or Ot 2 ms x(t)- 0 otherwise is to be analysed (b) Numerical calculation of the spectrum: (i) Use Matlab to generate and plot a vector containing the sample values of the rectangular signal defined in (2) sampled at f 8kHz. Choose the number N of sample values so that it is a power of 2 and that the signal duration is at...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
2. Given x[n]— 1-ae-ja' find the DTFT of: (a) y[n] = nx[n],(b) z[n] = (n − 1)x[n] dX(92) Hint: nx[n]< > ; dΩ
Problem 3.12 Find the DTFT of the following time-domain signals: (b) x[n] = alu. lal < 1 11:32 AM Wed 25 Mar '< ! Q 0 O Untitled Notebook (12) 5 * Untitled Notebook (12) W X hw3A_s2020.pdf Untitled Problem 3.14 Find the FT of the following signals: continuous la aperiodic (b) X(t) = e te n(jw) t 120
Signals and Systems: Discrete time Fourier Series: If: 1. Please find the F.S. representation of x[n] 2. Please plot the amplitude spectrum 3. What is the fundamental frequency of x[n]? 4. How many distinct harmonics can be present in x[n]?--for this fundamental frequency. 5. How many harmonics are actually in x[n]? Trying to prepare for finals, its crunch time, thank you for your help! r[n] = 2sin(n-) + cos(n-) r[n] = 2sin(n-) + cos(n-)