3. Obtain the BZT of the sequence x[n]-(e)"u[n] + (e-2)"d-n-1]. The ROC must be given as part of the answer. 4. Obtain the BZT of the sequence xl")-(e"ruf"Mer4-"-u. The RO...
Find Z tranform and ROC; Sketch pole zero x[n]=(2/3)^n u[-n-1]+(-(1/3))^n u[n]
a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2)
a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2)
Question 18 (1 point) a then the associated time If X(z)=z/(z-a) with ROC of z]< sequence x(n) is Question 18 options: x(n)= -a'n u(-n) -a^n u(-n-1) - a^n | e^(-jwn) -a^n u(-n+1) None of the answers
Q1-20 points) a) Find the transform of the following signals and plot the ROC. 1 x(n)=(-0,357u(n-4)+(0.25?u(n+2) IL- x(n)=-cu-n-1) b) Find the Inverse Z-transform of: z(2-1.5) for (2-0.33)(2-0.5) ROC: z>0.5
Code in R
Part 1. a) Run the following lines: n<-30 x<-matrix(rnorm(n * 1000), 1000,n) xL,1:3]<-xl,1:3]*10 y<-1+matrix(rnorm (n * 1000), 1000, n) Note: the samples in "x" are contaminated. b) Conduct 1000 two-sample two-sided t-tests for the associated rows of "xand "". (e.g., for the first test, the two samples are "x[1," and "y[1,]", for the second test, the two samples are "x[2," and "y[2,1",etc.). Calculate the total number of rejections of the 1000 tests. (Use significant level a =...
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
d) Given a discrete time sequence: x[n] 218(n 2) - (n 1) +358 (n) -(n 1)218 (n - 2) where δ(n) is the unit-impulse sequence and the general Discrete Time Fourier Transform (DTFT) X(ej") is: i) ii) iii) Do the following without explicitly finding X(ejo) Determine χ[0]-4x[1] Evaluate DTFT X(ejw) at ω-0. Using one of the DTFT properties, state the value the phase value of X(eM) (ie. φ(u)) . Explain how you get the answer
how to calculate the convolution
Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: Note that the convolution of any sequence with u[n] is the sum of all the components (an integrator) 2. x[n]=仁1,-2-3-4) 1 vl n | =.xln|>k 11 | n | = 〈ー1, 2(00.-1,-3.-6.-10-10.
Calculate the convolution of the following sequences: x[n] (n +1 )R, [n] and h = u [n-2] Answer: Note that the convolution of any sequence...
4. A function sequence (fn)neN İs unifonnly bounded on D if there is an M0 such that If, (xl s M for allxin D and all in N. Show that if s uniformly convergent on D and each fn is bounded on D, then (fn)neN 1S uniformly bounded on D. Use this to conclude that the function sequence in Example 8.3 is not uniformly convergent. Example 8.3 Let f : (0.1)-R be given by falx)-nx(I-2for eaclh n in (Higure 8.2)...
Problem 10: a) Given the following sequence: x[n]={1, 2, 3, 4} where x[?= 1. Use the decimation in time FFT algorithm to compute the 4-point DFT of the sequence X[k]. Draw the signal flow & the butterfly structure and clearly label the branches with the intermediate values and the twiddle factors W = e- /2nk b) The inverse discrete Fourier transform can be calculated using the same structure and method but after appropriately changing the variable WN and multiplying the...