Good day All,
I need your valued precious advice and help once again, in correcting my tutorial homework examples.
Please can you check my work if I am correct or advice where I am going wrong.
gracias
Q1)
If the signal x(t)=4cos(200πt) is sampled at 500 Hz, determine the signal x(n).
What is the period of the sampled signal?
MY ANSWER:
x(t)=4cos((200/500)πt)
so my signal x(n) = 4cos((2/5)πt)
P = 2π/w
Where w is the angular velocity = 2π/5
P = 2π/(2π/5) = 5 units
So Period is 5 units
Q2)
Determine the minimum sampling rate to avoid aliasing for the signal x(t)=20cos(400πt)+10cos(20πt).
MY ANSWER:
I will take the highest frequency to avoid aliasing.
So P = 2π/w = 2π/400π = 1/200
Therefore f= 1/T = 1/(1/200) = 200hz
To avoid aliasing fx2 = 400hz
I need your valued precious advice and help once again, in correcting my tutorial homework examples.
Please can you check my work if I am correct or advice where I am going wrong.
gracias
Q1)
If the signal x(t)=4cos(200πt) is sampled at 500 Hz, determine the signal x(n).
What is the period of the sampled signal?
MY ANSWER:
x(t)=4cos((200/500)πt)
so my signal x(n) = 4cos((2/5)πt)
P = 2π/w
Where w is the angular velocity = 2π/5
P = 2π/(2π/5) = 5 units
So Period is 5 units
Q2)
Determine the minimum sampling rate to avoid aliasing for the signal x(t)=20cos(400πt)+10cos(20πt).
MY ANSWER:
I will take the highest frequency to avoid aliasing.
So P = 2π/w = 2π/400π = 1/200
Therefore f= 1/T = 1/(1/200) = 200hz
To avoid aliasing fx2 = 400hz