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Discrete-time signal. Question is regarding Signals and Systems. Find the fundamental period of each these functions....
It's about signals and systems. I need some help to make MATLAB codes of this problems. Thank you :) Discrete-Time Periodic Signal 4 1. Convolution and Discrete-Time Fourier Series (DTFS) (a) Generate a periodic signal r2n] with the fundamental period N n]sin(2Tn/10)sin(27n/20) sin(27n/30), for 0nN-1 Find the fundamental frequency 2T/N with the fundamental period N (b) Generate a periodic signal h2[nl with the fundamental period N h2[n](1/2)", for 0n< N - 1 (c) Using the conv function in Matlab, compute...
Determine whether the following discrete-time signals are periodic or not? For the periodic ones, find their fundamental period. 2. (5 points each) a. x1 [n] =sin(0.5n +z/4) c. x1n] = cos (tn/3) + sin(nn/5)-2cos(tn/10) d. x4[n]- sin(tn/12) cos(tn/3) (Hint: use trigonometric identities to write the signal as a sum of sinusoids)
Instruction: Determine whether or not each of the following signals is periodic. If a signal is periodic, determine its fundamental period.1. x[n] = ej(π/4)n 2. x[n] = cos1/4n 3. x[n] = cosπ/3 n + sinπ/4 n 4. x[n] = cos2π/8 n
2: (a) Consider a discrete-time sequence x[n] = cos(n+3). Find the fundamental period(N). (b) Consider the sinusodal signal x(t) = 10 sin(21 Fot) with analog frequency F. Write an equa- tion for the discrete time signal n. (c) In part(b) if Fe = 400Hz and the sampling frequency F. = 4kHz, determine the fundamen- tal period of x[n].
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
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.
Digital Signal Processing (Question estion# 2].Determine the fundamental period, the fundamental frequency and the average power of the following periodic sequences: 19 Points a. x1[n] = e 10.5 b. x2[n] = 3 cos(1.31n) - 4 sin (0.57 +") c. x3[n] = 5 cos (1.2 ttn + + 4 cos(0.6ın) - sin(0.2 ton)
Discrete-Time Multiple Choice: Show your work for each question as much as you can (a) Which of the following systems is linear?) (B) y[n] 2 cos(x (n) (D) y[n] x(n) (b) Which of the following systems is time-invariant?() (C) yfn] n[n] (D) yIn] - x-2n] (B) y[n] - cos(nx(n)) (c) Which of the following systems is causal? () (A) yln]-2x[-n] (d) Which of the following systems is NOT stable? () (C) yln] vx(n) (B) yinl 50 sin(rIn)+ 10 cos(2x())D)h(n) (0.2)"u(r)...
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-)
Question# 1 A discrete time signal xin] is showing in figure. Skethch and label each of the following signals a. . x[2n] ill. xin-116 [n-1] -3 4 -2 -1 1/2 -1