We are given the discrete-time sinusoidal segment {6.2 cos(0.75 pi n + 1), n = 0, . . . , (N - 1)}. For what values of N will the spectrum computed using the DFT have no spectral leakage?

Answers

Answer 1

Answer:

the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8

Step-by-step explanation:

Given that;

discrete-time sinusoidal segment x[n] = 6.2cos(0.75πn + 1)

Using DFT to compute the spectrum

The spectral leakage will not be present in the spectrum if the product f₀Td is an integer.

Here, f₀ is sinusoid's frequency and Td is the segment duration

Now we calculate the period of the signal

2π/ω = 2π/0.75π

ω =  2 / 0.75

( × 4 )

ω =  8 / 3

Here, the numerator value is the period of the signal

T₀ = 8

The spectral leakage will not be present in the spectrum if N is  the Integer multiple of period T₀.

Therefore, the values of N for which there will be no spectral leakage are;

N = Integers multiple by 8


Related Questions

I need help Please. the question in photo

Answers

Answer:

C

Step-by-step explanation:

Since Δ ABC is isosceles , then AB = AC and the base angles are congruent.

∠ ACB = [tex]\frac{180-50}{2}[/tex] = [tex]\frac{130}{2}[/tex] = 65°

∠ ACB and ∠ BCE are adjacent angles and are supplementary, thus

∠ BCE = 180° - 65° = 115° → C

Four movie tickets cost $26. How much do seven movie tickets cost?

Answers

Answer:

45.5

Step-by-step explanation:

Find L when P= 24 and W = 6.
P = 2L+ 2W (perimeter of a rectangle)
L =

Answers

Answer:

6

Step-by-step explanation:

24 = 2L + 2(6), multiply...

24 = 2L + 12, subtract 12 to both sides...

12 = 2L, divide 2 to both sides to isolate the varibale L

6 = L

Therefroe, L = 6

pls help me I don't understand ​

Answers

Answer:

Domain (6, 9) Range (-5, 3)

Step-by-step explanation:

The domain is your x-values while your range is your y-values.  For this particular relation your domain ranges from 6 to 9 given the fact that there are 3 numbers with x-values and your range is from -5 to 3 given the fact that there are 3 numbers with y-values.

- I made this IMPOSSIBLE Question to see who can answer it correctly
(GIVING BRAINLIEST) Reporting trolls ( reports=points loss)

Answers

Answer:

converse 3

contrapositive 1

inverse 2

conditional statement 4

Answer:

i dont know

Step-by-step explanation:

you got me good  just sayian

(pls dont report i beg)

You deposit $6000 in an account earning 2% interest compounded monthly How much will you have in the account in 10 years ​

Answers

The amount is $7327.49 and the interest is $1327.49.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

After plugging the given information we have

Integer farthest from 0

Answers

depends on what the stated integers are. need more info

Jason bought 7 new baseball trading cards to add to his collection. The next day half of his collection. There are now only 30 cards left.

Answers

Answer:

8 cards

Step-by-step explanation:

Work Backwards:

30/2 is 15

15-7 is 8.

Hope this helps :D

Answer:

Step-by-step explanation:

Let x be the number of cards Jason had initially in his collection.

"Jason bought 9 new baseball trading cards to add to his collection"

x

+

9

is the equation because  

x

is the initial number of cards he has and he bought another 9

"His dog ate half of his collection"

1

2

(

x

+

9

)

because  

x

+

9

is what he had before his dog ate his cards and since his dog ate half, there is a  

1

2

added to the equation

"42 cards left"

1

2

(

x

+

9

)

=

42

Since his dog ate half, he is left with half of his initial card collection.

x

+

9

=

42

×

2

x

+

9

=

84

x

=

84

9

x

=

75

Find the sum or difference
(4y+3)-(y-2) do help me pls i can't remember how to do these

Answers

(4y+3)-(y-2) = 4y+3-y+2 = 3y+5

Answer:

3y + 1

Step-by-step explanation:

(4y + 3) - (y - 2)

*subtract y from 4y because like terms must be combined*

3y + 3 - 2

*subtract 2 from 3*

3y + 1

Which does not represent two equivalent expressions?
A.) a + b = b + a
B.) 5(x + 3) = 5x + 15
C.) a + (b + c) = (a + b) + c
D.) 6(c + 2)= 6c + 2

Answers

Answer:

Step-by-step explanation:

THE CHOICE D is not equivalent

6(c+2)=6c+12

So, the value of 3 in 2,304 is_
times the value of 3 in 16,135.

Answers

Answer:

10 times

Step-by-step explanation:

The first number is 2,304 and other number is 16,135.

The value of 3 in 2,304 is 300 and the value of 3 in 16,135 is 30.

[tex]\dfrac{\text{The value of 3 in 2,304 }}{\text{The value of 3 in 16,135}}=\dfrac{300}{30}\\\\=10[/tex]

It means that, the value of 3 in 2,304 is 10 times the value of 3 in 16,135.

Keri invests £500 into an account that pays 5.5% compound interest per annum. Work out how much money Keri will have in her account after 16 years.

Answers

Answer:

500×1.055^16=1177.63

Show 1 1/4 on a number line out of 4

Answers

it’ll be on the one then there’s 3 dashes in between the 1 and 2 then you’ll mark a thick line on the little dash after the 1:)

Write an expression to represent:
One less than the quotient of four and a number x

Answers

Answer:

Hi again

4/x-1

Step-by-step explanation:

Same thing

4÷x is 4/x

Less 1

4/x-1

On April 15, 2015, Jorge buys 10 shares of Bling-Bling Inc. stock at a price of $450 per share. The share price of Bling-Bling increases to $600 on July 15, 2015. What is the percentage increase in the value of Jorge’s shares rounded to the nearest percent?
25%
33%
45%
67%

Answers

Answer:

33%  

Step-by-step explanation:

Tell me if I'm wrong. :)  And hope this helps.

HEEYY GUYS CAN U HELP MEE

Answers

Step-by-step explanation:

3-The two lines cannot intersect

34.65 divided by 1.5

Answers

Answer: 23.1, 231/10, or 23 1/10

Step by step explanation:

33.65/1.5 - divide the terms

23.1

True or False: If f(x) = -3x^3 + 2(x + 2), then f(-2) = 24

Answers

Answer:

True

Step-by-step explanation:

When you plug in -2 for the x-values, it should be like this -3(-2)^3 + 2((-2)+2).  When using the method of PEMDAS, you want to do the parentheses/exponents first since it is in order. -2 to the power of 3 is -8 for this case.  Distribute 2 in -2 and 2 to get -4 + 4.  Obviously. they will cancel in which you are left with -3(-8).  Two negatives multiplied together equals a positive, so your final answer should be 24, in this case it is true.

Apply the distributive property to factor out the greatest common factor.

25p + 50q =

Answers

Answer:

25(p+2q)

Step-by-step explanation:

The GCF is 25, so factor out 25 and you have 25 (p + 2q)

Algebra 2
L.6 Evaluate polynomials using synthetic division CHC
If g(y) = 6y? + 8y - 9, use synthetic division to find g(1).
Submit

Answers

The answer is: g= 6y+8-9/y

Write a polynomial that represents the area of the square 7n-5, plz help, thank you!

Answers

Answer:

49n² - 70n + 25

Step-by-step explanation:

Area of a square = s²

Where,

s = side length = 7n - 5

Area of the square = (7n - 5)²

= (7n - 5)(7n - 5)

= 7n(7n - 5) -5(7n - 5)

= 49n² - 35n - 35n + 25 (distributive property of equality)

Add like terms

Area = 49n² - 70n + 25

tap on image to see it all.....I really need this answer please​

Answers

Answer:

180-44=136 is d

then 180-136=44 44/2=22

c is 22. just remember total angle above straight line is 180, and the total angle of a triangle is also 180. And if two sides have the same length, their angles are also the same like c and a, and e and 44 degrees

Solve and check: ½ (c – 24) + 2/3c = 9

a) c = 18
b) c = 126
c) c = 1 1/6
d) c = 17

Answers

The answer is see you happy new year

The critical points of a rational inequality arex=-4 and x = 2. Which set of points can be tested to find a complete
solution to the inequality?
O x=-4 and x=2
Ox=-5 and x =3
O x=-5, x = 0, and x = 3
O x=-4, X = 0, and x = 2

Answers

Answer:

C on EdgE

Step-by-step explanation:

2020

The required possible set of test points that includes all three intervals is x=-5, x=0, and x=3. Option C is correct.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
The set of points that can be tested to find a complete solution to the rational inequality are x=-5, x=0, and x=3. This is because the critical points divide the number line into four intervals, and one test point in each interval is needed to determine the sign of the rational function in that interval. Since there are three intervals, we need three test points. One possible set of test points that includes all three intervals is x=-5, x=0, and x=3.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

where are my taurus’s At??

Answers

Answer:

im a scorpio but my sister in law is a taurus... :)

Step-by-step explanation:

Answer:

RIGHT HERE

Step-by-step explanation:

is the expression 70-(4 • 15 ) a different three terms product of two times or a difference of two term?

Answers

what was the answer I’m on the same one

Ellie fills her car with 14.297 gallons of gas. Alivia fills her car with 14.209 gallons of gas.write an inequality statement comparing the two gas purchase.

Answers

14.297 > 14.209. Hope this helps and if you leave a braniest answer simble that would help lots thank you :)

Answer:

Ellie is gas.

Step-by-step explanation:

Inequality statement: Ellie is not equal to gas, yet she is all about gas.

Given the formula, y = 3x + 4, enter the value of y in the text box below where the value of x is 0.
y = 3x + 4
(x, y)
-2
0
2
Enter answer

Answers

Answer:

[tex]y = 3x + 4 = 3(0) + 4 = 4[/tex]

(x,y) = (0,4) is the right answer.

the chart shows the hourly wage for the employees at the local newspaper office what is the hourly wage of most of the employees​

Answers

Answer:

In principle, minimum wages can be set for an hour of work, a week of work, or a month of work (see section 1.8 for a review)

Of the volunteers donating blood in a clinic, 30% have the Rhesus (Rh) factor present in their blood. (a) If five volunteers are randomly selected, what is the probability that at least one does not have the Rh factor

Answers

Answer:

0.83193

Step-by-step explanation:

Probability of having the Rhesus (Rh) factor present in their blood; p = 0.3

Sample size; n = 5

We want to find the probability the probability that at least one does not have the Rh factor.

This will be;1 - P(X < 1)

This is a binomial probability distribution. Thus;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

P(X < 1) = P(X = 0)

Thus;

P(X = 0) = C(5, 0) × 0.3^(0) × (1 - 0.3)^(5 - 0)

P(X = 0) = 1 × 1 × 0.16807

P(X = 0) = 0.16807

Thus;

1 - P(X < 1) = 1 - 0.16807 = 0.83193

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