5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.

Answers

Answer 1

Answer:

the minimum number of bits needed for quantization is 7

Step-by-step explanation:

Given the data in the question;

if quantization is Δv, then the maximum quantization Error is Δv/2

now if we split up the whole range  from -[tex]m_{p}[/tex] to [tex]m_{p}[/tex] evenly into L levels, so

Δv = [tex]2m_{p}[/tex] / L

Δv / 2 = [tex]m_{p}[/tex] / L

given that the error must be at most 1% of [tex]m_{p}[/tex],

1%[tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L

1/100 × [tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L

100 = L

now L must be a factor of 2 to be binary encoded,

so lets consider;

L = 128

2ⁿ = 128¹

2ⁿ = 2⁷

n = 7

Therefore, the minimum number of bits needed for quantization is 7


Related Questions

For each of the following statements, construct an open sentence P (x), P (x, y), or P (x, y, z), where x, y, z are variables, such that for some choice of values of the variables we obtain the original statement and for a different choice of values of the variables, it is possible to obtain a statement whose truth value is different than the original statement.

a. The square of 3 is larger than the cube of 2.
b. 4.3 + 8 = 30.
c. The population of Manitoba is larger than the population of Winnipeg.

Answers

Answer:

a.)

Open statement : P(X,Y) = The square of X is larger than the cube of Y.

b.)

Open Statement : P(X,Y,Z) = X.Y + 8 = Z.

c.)

Open Statement : P(X,Y) = The population of X is larger than the population of Y.

Name an angle supplementary to AOB
PLS HELP ASAP ILL MARK U BRAINLEST

Answers

Answer:

I believe its DOB, I'm sorry if I'm wrong

Step-by-step explanation:

which statment is true
1 yard = 3 feet
1 yard = 10 feet
1 yard = 12 feet
1 yard = 36 feet

Answers

Answer:

1 yard = 3 feet

how many units apart are (-1,4) and (2,-1)

Answers

Answer:

Those points are [tex]\sqrt{34}[/tex] units apart.

*HELP QUICK BEST FIRST PERSON WILL BE NAMED BRANLIEST*
Each cube inside the rectangular prism has an edge length of inch. What is the volume of
the rectangular prism?
256 in.
81 in
3 in
9 in.

Answers

Answer:

Step-by-step explanation:

length = 6 x 1/3 = 2 inches

width = 4 x 1/3 = 4/3 inches

height = 8 x 1/3 = 8/3 inches

 

volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches

 

Another approach is the following:

 

There are 6 x 4 x 8 = 192 cubes inside the prism,

Each cube has a volume of 1/27 cubic inches.

 

Therefore total volume = 192 x 1/27 = 192/27 = 9

Ingredients for 7 cakes

49 g sugar
56 g butter
70 g flour
63 ml milk
Here is a list of ingredients for 7 cakes. Aaron makes some cakes. He uses 50g of flour. How many cakes did he make?

Answers

Answer:

He made 5 cakes

Step-by-step explanation:

49 divided by 7 = 7

56 divided by 7 = 8

70 divided by 7 = 10

63 divided by 7 = 9

So for one cake you would need 7 g sugar, 8 g butter, 10 g flour, and 9 ml milk. So, 50 divided by 10 = 5 cakes

He made 5 cakes I think

A water pipe is 3 feet below the ground. A gas pipe is 8 feet below the ground. Which pipe is
higher? EXPLAIN YOUR ANSWER

Answers

the water pipe
3 feet is less than 8 feet so if you go down 8 feet it would be deeper than 3 feet making the water pipe higher.

20 points Which of the following is NOT an advantage of using wind turbines to generate wind power? Wind turbines are not suitable for all geographical locations. O Wind turbines are affordable. Wind turbines do not emit carbon dioxide and do not require sunshine. O Wind turbines cause little disruption of ecosystems.​

Answers

the first one is the answer

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 55% of all potential purchasers select a day visit, 25% choose a one-night visit, and 20% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 25% of night visitors make a purchase, and 20% of those visiting for two nights make a purchase. Suppose a visitor is randomly selected. What is the probability that the visitor makes a purchase

Answers

Answer:

0.1575 = 15.75% probability that the visitor makes a purchase

Step-by-step explanation:

We have these following probabilities:

55% probability that a visitor selects a day visit, and in this case, 10% probability of making a purchase.

25% probability that a visitor chooses a one-night visit, and in this case, 25% probability of making a purchase.

20% probability that a visitor chooses for a two night visit, and in this case, 20% probability of making a purchase.

What is the probability that the visitor makes a purchase

[tex]p = 0.55*0.1 + 0.25*0.25 + 0.2*0.2 = 0.1575[/tex]

0.1575 = 15.75% probability that the visitor makes a purchase

I NEED THE CORRECT ANSWER TO THIS ASAP!!!!!!!!!!!!!!!!!!

Answers

Answer:

15

Step-by-step explanation:

avocado



Pneumonoultramicroscopicsilicovolcanoconiosis

Answers

Answer:

Yes Avocado :>

Step-by-step explanation:

i luv em avocados

how do you expand (8+x) (9+x)

Answers

Answer:

x²+17x+72

Have a great day :)

plz help it's urgent
A museum has 80 African baskets. Which
list shows all the different possible
arrangements so that all the rows have
the same number? Assume that an
arrangement such as 4 20 is the
same as 20 4.
A 1 80; 4 20; 8 10
B 1 80; 2 40; 4 20; 5 16; 8 10
C 2 40; 5 16; 8 10
D 2 40; 4 20; 5 16; 8 10

Answers

Answer:

D 2 40; 4 20; 5 16; 8 10

Step-by-step explanation:

Given

[tex]Baskets = 80[/tex]

Required

Arrange in rows and columns

To do this, we simply list out the multiplied factors of 80.

So, the arrangement is as follows:

[tex]1: 2 * 40[/tex]

[tex]2: 4 * 20[/tex]

[tex]3: 5 * 16[/tex]

[tex]4: 8 * 10[/tex]

Hence, (d) is correct

Describe the y-intercept and end behavior of the following graph:

Answers

Answer:

i did this in school so basicly you need to plug in the numbers.

Help a brother out with some math? Jane bought a desk that was marked down 60% from an original price of $100. If she paid 5% sales tax, what was the total cost of the desk?

Answers

Answer:

45 i think

Step-by-step explanation:

i could be totally wrong about this but im pretty sure that if an initial price is 100 percentages are really easy. so 100 minus 60 is 40 and with a 5 percent tax thats 45.

Emily went to a store to buy beads for her necklace. the red (R)beads cost $0.05 per bead, the blue (B) cost $0.15 per bead. the green (g) bead cost $0.25 ped bead. How much will it cost if Emely buys 4 read beads, 5 blue bead and 3 green beads

Answers

Answer:

R=20cents

B=75cents

G=75 cents

$1.70

The answer is $1.70 because 4 red beads cost 20 cents, the 5 blue beads cost 75 cents and the 3 green beads cost 75 cents and when u add them together u get $1.70

Please help ASAP will give Brainlyest answer :M/5=2

Answers

Is that / fouse to be a divided sign


Use the ordered pairs shown in the table below.

X:20,30,40,50
Y:30,45,60,75
which equation represents the data in the table?
A: y=1.5y
B:x=1/3y
C:x=1.5y
D:y=2/3x

Answers

Answer:

A.

Step-by-step explanation:

if you multiply 20 times 1.5 you get 30. If you multiply 30 times 1.5 you get 45. If you multiply 40 times 1.5 you get 60. If you multiply 50 times 1.5 you get 75 . meaning that y equals 1.5

What is the x intercept of the graph of the inequality 2x + 3y > 12

Answers

Answer: x intercept = 6

This is the location (6,0)

===============================================================

Explanation:

I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12

To find the x intercept, plug in y = 0 and solve for x

2x + 3y = 12

2x + 3(0) = 12

2x = 12

x = 12/2

x = 6

The boundary line 2x+3y = 12 crosses the x axis at x = 6.

We can say the x intercept is x = 6. This is the location (6,0).

Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.

State sales tax S is directly proportional to retail price p . An item that sells for 172 dollars has a sales tax of 12.32 dollars. Find a mathematical model that gives the amount of sales tax S in terms of the retail price p . Function: S ( p )

Answers

Answer:

[tex]s(p) =\frac{77p}{1075}[/tex]

Step-by-step explanation:

Given

s = sales tax

p = retail price

The variation is represented as:

[tex]s\ \alpha\ p[/tex]

s = 12.32 when p = 172.

Required: Determine function s(p)

[tex]s\ \alpha\ p[/tex]

Convert to equation

[tex]s = kp[/tex]

Where k is the constant of variation.

Make k the subject

[tex]k =\frac{s}{p}[/tex]

Substitute values for s and p

[tex]k =\frac{12.32}{172}[/tex]

Multiply by 100/200

[tex]k = \frac{1232}{17200}[/tex]

Simplify:

[tex]k =\frac{77}{1075}[/tex]

To get the function, we substitute 77/1075 for k in:[tex]s = kp[/tex]

[tex]s =\frac{77}{1075}p[/tex]

[tex]s =\frac{77p}{1075}[/tex]

Express as a function

[tex]s(p) =\frac{77p}{1075}[/tex]

1. (f + h)(x)
if f(x)= x

Answers

Answer:

not enough info

Step-by-step explanation:

f(x) = x is fine, but without h(x), you can't do (f + h)(x)

what is the value of x?
[tex]3x + 5y = 45[/tex]

Answers

Yeah I don’t know x blah and b oop

Answer:

x = -5/3y + 15

Step-by-step explanation:

Step 1: Subtract -5y from both sides.

3x+5y+−5y=45+−5y

3x=−5y+45

Step 2: Divide both sides by 3.

3x divided by 3 = −5y+45 divided by 3

x = -5/3y + 15

Hope this helps you

Factor the trinomial by guess and check.

2c^2 - 14c + 20

Answers

i knew the answer in a past life but i forgot it

a hockey goalie scores 82% of shots at the goal, about how many shots can the goalie predict he will block in 735 tries

Answers

Answer:600

Step-by-step explanation:

5
Find the measure of each missing angle in the following regular heptagon. Round your
Answer to the tenths.

Answers

Answer:

51.4

Step-by-step explanation:

when you have a regular polygon, all sides are equal and all angles are equal. Regular polygons automatically equal 360.

A heptagon has 7 sides so divide 360 by 7.

you get 51.4, that's your answer.

help asap please!!snnsjababeushbeebhd

Answers

It d because if u flip the picture upside down it shows the exact shape

need help on my hw rip me

Answers

Answer:

pretty sure its the first one

Step-by-step explanation:

Answer:

x<6

Step-by-step explanation:

its an open dot. this means 6 isn't part of the inequality.

what is 50(4+6)?
πωπ

Answers

Step-by-step explanation:

50(4+6)=500

hope it helps you get

500 doebdvdhsossns diakd spend didjf Bdnd shedding ffidjdbdbdudjdhdhdhdbdbdbdbdbdbdbdhhdhdjdjdjjss

Plz guys help me plz

Answers

i feel like its d or b

What is 17/32 as a decimal?

Answers

Answer:

.53125

Step-by-step explanation:

17 ÷ 32

0.53125 is your answer
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