Homework Statement
My problem is I want to know how to transform a low pass filter into a band pass and high pass filter.
Suppose that we are given the impulse response of the system which is h(n)
The Attempt at a Solution
In order to transform this system into a band pass filter, I need to...
Hi, I have trouble understanding how to achieve this transformation
Suppose for example that we have a low pass filter which impulse response is the following
h(n) = 1 for 0<=n<=2 where n is an integer
In the frequency domain we would have the following frequency response:
H(e^{j\omega}) =...
Hi everyone,
I'm reading this article
http://en.wikipedia.org/wiki/Rencontres_numbers
and although I understand the whole concept of these numbers, I can't understand how the author derives this equation
http://img809.imageshack.us/img809/529/unledid.png
this recursion essentially counts...
I understand that having a periodic signal x(t) we can find a signal y(t) which uses harmonically related exponentials in order to construct the x(t) signal
each exponential has a frequency and magnitude, for example
3*e^{j 2 \omega} has a frequency of \frac{2 \pi}{2 \omega} =...
Hi everyone, I want to understand how these concepts work.
Suppose that we have a signal x(t) which has a maximum frequency component of 3 Hz. So let the DTFT of this signal be like that:
http://img341.imageshack.us/img341/1134/31096081.png
Also let y[n] be the digital signal that we get...
Hi I'm trying to understand what we mean when we say that the Fourier transform is used to transform a signal from the time domain to the frequency domain and what we actually have in the frequency domain.
In Fourier series we are actually using a different representation of the signal in terms...
Homework Statement
Hi
I was trying to understand an algorithm analysis problem and I came to this point:
[PLAIN]http://img820.imageshack.us/img820/1834/unledytw.png
can someone explain me what he did there? Is there any other step between that should have been written in order for...
thanks for your reply
so, if I took from -T to T it would be an interval 2 times larger than the interval of a period, which is correct right?
but if I integrate from 0 to T I will get a different result
do you mean by "the same result" that the answer to a question that wants an inner...
Homework Statement
Hi
suppose
you're given two signals for example
x_{1}(t) = cos(3 \omega_{0} t)
x_{2}(t) = cos(7 \omega_{0} t)
and you want to find out the inner product
Homework Equations
The Attempt at a Solution
I mean, it's an integral right? But what will the boundaries be...
thanks lewando
What I was meaning is that
x(t) may have two components but the overall frequency is the least common multiple of the frequencies of each of these 2 components right? so the result will be different
thus if I understand correctly the result should be 2*f1 = 9 because f1 > f2...
Homework Statement
What sampling frequency would you use to sample the following signal
x(t) = 3sin(9πt) - 6cos(8πt)Homework EquationsThe Attempt at a Solution
let T1 be the period of 3sin(9πt) and T2 the period of 6cos(8πt)
T1 = 2π/9π = 2/9
Τ2 = 2π/8π = 2/8
thus, if f1 is the frequency of...
thanks I have one more question
I think I'm wrong with my FT calculations25g(t-10) \leftrightarrow 25 X(j \omega) e^{-j 10 \omega}
but I have 25g(\frac{1}{8}(t-10))
hence
25g(1/8(t-10)) \leftrightarrow 200 X(j 8 \omega) e^{-j 10 \omega}
I mean I should first find 25 g(1/8 t)
and then...
Yes you're right
25g(1/8(t-10)) \leftrightarrow 200 X(j 8 \omega) e^{-j 80 \omega}
"Also, I'm not sure where you got the overall factor of 1/8 in front."
isn't 25g(1/8(t-10)) = x(t)?
for g(1/8 t - 10/8) and the first interval I will have
1 - |\frac{t}{8} - \frac{10}{8}| for...