1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rudik [331]
3 years ago
5

A minimum-phase continuous-time system has all its poles and zeros in the left-half s-plane. If a minimum-phase continuous-time

system is transformed into a discrete-time system by bilinear transformation, is the resulting discrete-time system always minimum?
Mathematics
2 answers:
vlabodo [156]3 years ago
8 0

Answer:

Yes, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.

Step-by-step explanation:

Bilinear Transform:

In digital signal processing, the bilinear transform is used to convert continuous time system into discrete time system representation.

Minimum-Phase:

We know that a system is considered to be minimum phase if the zeros are situated in the left half of the s-plane in continuous time system. In the same way, a system is minimum phase when its zeros are inside the unit circle of z-plane in discrete time system.

The bilinear transform is used to map the left half of the s-plane to the interior of the unit circle in the z-plane preserving the stability and minimum phase property of the system. Therefore, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.

fredd [130]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

The statement given in question is true, a bilinear transformation will guarantee that a minimum phase discrete time filter is created from a minimum phase continuous time system

This is in accordance with that all poles and zeros in z -plane will be inside unit circle and hence the discrete time system has least phase angle. It is due to the fact that in bilinear transform maps a pole or zero at S0 to a pole of zero at Z0 plane,

S0 = a + j b

SInce all poles are in left, it means a < 0 , hence Z0 will be less than 1 also

You might be interested in
The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
3 years ago
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,
vekshin1

Answer:

all work is shown and pictured

7 0
3 years ago
Read 2 more answers
(3 x 105 ) x (2 x 103 )
anzhelika [568]

Answer:

64,890

Step-by-step explanation:

105×3 =315

103×2= 206

315×206= 64,890

6 0
3 years ago
Read 2 more answers
Plz help what do i do and how do i do this its due tomorrow
Aleks [24]
In order to find the area, you multiply the width (7), height (6) and length (12). But the problem states that the height has changed from 6 to 6 minus3, which would be 3. So you multiply 3, 7, and 12.
6 0
3 years ago
Si al doble de 3,4 se le resta el triple de 4,3 resulta
defon

Answer:

I would help you but I can't read the question.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Find the value of x. Please help
    7·1 answer
  • Enter the equation of the circle described below.<br> Center (3, -2), radius = 5
    14·2 answers
  • the perimeter of a rectangle is 58cm. the length is 7cm less than three times the width. find the length and width. (translate t
    11·1 answer
  • List three numbers that are less then 66,100
    10·2 answers
  • 4) Ifa salesperson earns a 37% commission and has a sell for $345. Determine the commission
    11·1 answer
  • Helphelphelphelphelp​
    5·1 answer
  • What is the area of trapezoid DEFG with coordinates D (2, 3), E (5, 3), F (3, 1), and G (2.1)? O 2 square units O 3 square units
    10·1 answer
  • mr. knox's rent during the past year amounted to $2700 per year. His rent was 20% of his income. find his income fo the last yea
    6·2 answers
  • X-3 / 4 = r/4<br><br> pls show the steps and the answer for this problem
    5·2 answers
  • In the parallelogram ABCD with diagonal BD, the Angle-Side<br> Angle property establishes that:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!