given z1=2+j3, z2=7+j1, z3=5+j9. find the value of the following
expressions in both coordinate and Euler...
given z1=2+j3, z2=7+j1, z3=5+j9. find the value of the following
expressions in both coordinate and Euler forms. a)
z1z2,z2z3,z3z3(dash on top z),(z1+z3)z2 b) z1/z2,z2/z3,z3(dash on
to[ z)/z3,(z1+z2)/z3.
Q1-Find all possible time domain signals corresponding
to the following z-transform:
X(z) = (z3 + z2 + 3/2 z + 1/2 ) /
(z3 + 3/2 z2 + 1/2 z)
Q2-A digital linear time invariant filter has the
following transfer function:
H(z) = (5 + 5z-1) / (1 - 3/8 z-1 + 1/16
z-2)
a) Find the impulse response if the filter is causal.
2. For each of the following, find all minimum sum of products
expressions. (If there is more than one solution, the number of
solutions is given in parentheses.)
a. f(a, b, c) Σm(1, 2, 3, 6, 7)
b. f(a, b, c, d) Σm(1, 2, 3, 5, 6, 7, 8, 11, 13, 15)
c. h(a, b, c, d) Σm(2, 4, 5, 6, 7, 8, 10, 12, 13, 15)
d. f(w, x, y, z) Σm(0, 1, 2, 4, 5, 6, 9, 10,...
Given the following data (2, 5, 1, 0, 5, 0, 7, 2, 3)
Calculate the 3rd quartile from your "data".
What's the probability that a randomly selected number from
your data is even?
Consider the events A = "a randomly selected number from your
data is even" and B = "a randomly selected number from your data is
above the 3rd quartile". Are these events disjoint, independent,
neither, or both? Show your work.
2.Find the future value in 7 years of the following cash flows:
2,000 in 2 years and 7,000 in 4 years. The interest rate is 7.6%
p.a. compounded monthly for the first 5 years and 5.8% p.a.
compounded half-yearly thereafter. (Correct your answer to the
nearest cent without any unit (No need to put "$"). Do not use ","
in your answer. e.g. 123456.78))
3.Your uncle offers to sell you his vintage Rolls Royce. He
suggests a payment plan where...
Given the following discrete system, find the following
x
3
4
5
6
7
P (x)
.4
.2
.2
.1
.1
a. E(X)
round to one decimal
b. The Variance
round to two decimals
c. Standard deviation
round to two decimals
d. find P(x ? 5)
round to one decimal using leading zeros
e. find P (x > 4)
round to one decimal using leading zeros