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Hint for next exercises: a) If Z{x[n]] = X(z) for a certain R.O.C Z{x[n 1]} =z1X(z)...
A discrete time LTI filter at rest is given by its system function H(z), 1+z-1 H2) = 1-0 8-1 R.O.C [z] > 0.8 (Hint: Use the z-transform and Partial Fraction Expansion to fill in the blanks.) The steady state unit-step response of the above filter is: Yuss [n] = — u[n]
Exercises 4.2 ove that the sequence (1 + z/n)"; n = 1, 2, 3,..., converges uni- ly in Iz <R < , for every R. What is the limit? 1, afdos se converge? diverge?
Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. Topics: Filter Design, Effective Time Constant Design a causal 2nd order, normalized, stable Peak Filter centered at fo 1000Hz. Use only two conjugate poles and two zeros at the origin. The system is to be sampled at Fs- 8000Hz. The duration of the transient should be as close as possible to teft 7.5 ms. The transient is assumed to end when the largest pole elevated...
2+z-1 1. The Z-transform of a signal x[n] is given as X(z) = }</21 < a) Find the signal x[n] [7] b) Draw the pole – zero plot of the z-transform .[3] c) Is x[n] causal or not? Justify your answer [2]
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
1. The signal x[n] is defined in the figure shown below. Let y[n] be the first backward difference of x[n] and let z[n] be the accumulation of In Assume that xlnl is zero for alln> IN) a) What is the value of y[4]? b) What is the value of z[6]?
8. Use the balanced equation for the reaction of N, and o, to form NO to answer each question. N2+O2---->2No a. How many moles of NO are formed from 3.3 mol of N? b. How many moles of NO are formed from 0.50 mol of O? c. How many moles of O2 are needed to completely react with 1.2 mol of N ?
(1) Let qn(x)-IT-1 (z-zi) where the xi, į = 1, , n are equally spaced: zi+1-z-h for some h > 0. Let a (a) Show 21 and b zn. zela阎 (b) Show
Show your work! No work, no credit! 1. Given T[c x, y, z >)-< x-z, y >. Complete the following a. Check if T is a linear transformation. Show your work! b. Find the domain and range of T. c. If T is a linear transformarion, find the matrix A that induced T. (6 points) 1)
What is the final value of x in memory after the code below is run? 1 int x; 2 for (x=0; x<5; x++){ 3 4} Answer: Answer What is the result of the following bitwise operation in decimal? ((~6)&36)|(6)&(~36)), where ~, |, and & are the bitwise NOT, OR, and AND respectively. Answer: Answer Complete the attempt to allocate a 5-element array of pointers to doubles and initialise the associated double value to 0.0. double* a[10]; for (int j =...