Problem 44948. Calculate a Damped Sinusoid
The equation of a damped sinusoid can be written as
y = A.ⅇ^(-λt)*cos(2πft)
where A, λ, and f are scalars and t is a vector.
Calculate the output sinusoid y given the inputs below:
- lambda - λ
- T - maximum value of t
- N - number of elements in t
Assume A = 1 and f = 1 . The vector t should be linearly spaced from 0 to T, with N elements.
Solution Stats
Problem Comments
-
4 Comments
How can I find the solution I already failed to solve 15 times.
Try reading the question again carefully and make sure you understand the linearly spaced part. It's a tricky one.
I think i need explanation for this concept :
The vector t should be linearly spaced from 0 to T, with N elements.
if I do, a = 1:6, the ans is 1 2 3 4 5 6
but now if i do, a = 1:2:6, ans is 1 3 5
so for linear distributed vector to reach end point 6, we need to do,
a = 1:(6-1)/(6+1):6 --------similarly can it be done as t = 0:(T-1)/(T+1):T? what is the concept in the words 'linearly spaced'?
From the equation y = A.ⅇ^(-λt)*cos(2πft), it might be confused if you don't know the character between A and -λt is the 'euler number'.
Solution Comments
Show commentsProblem Recent Solvers8193
Suggested Problems
-
23453 Solvers
-
Replace NaNs with the number that appears to its left in the row.
2825 Solvers
-
590 Solvers
-
Reverse the elements of an array
982 Solvers
-
Side of an equilateral triangle
5497 Solvers
More from this Author13
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!