Homework means the asker is requesting help with school homework. This lets potential answerers know that they should guide the student in solving the problem, rather than simply showing the complete answer.
0
votes
1answer
34 views
FM Modulation Index and Frequency trippler
Suppose I have an FM signal with modulation index mf which is passed through a frequency tripler, then what will be the modulation index of output waveform ?.
Thanks in advance....
0
votes
1answer
36 views
Cascade Transfer Function; Odd or Even Transfer Function
suppose we have a cascade realization of a transfer function of a higher order.
What difference does it make if the order of the transfer function is an Even or an Odd number?
1
vote
0answers
99 views
Filtering voice signal from randomly added frequencies
I have this assignment that I can't figure how to solve.
I have a sound.wav human-voice file, and use matlab add-random-noise (monotonic)
Goal: to remove the noise from the sound (and the sound from ...
1
vote
1answer
49 views
Signal approximation using linear combination of functions
How I can approximate the signal $x(t)=0.001\,t^3 \exp(-0.1t)$ in the interval $[0,100]$ using a linear combination of the following functions:
$f_1(t)=A_1$
$f_2(t)=A_2\cos(0.05t)$
...
1
vote
0answers
47 views
Calculate total bit rate
I want to calculate the total bit rate of a video system.
In order to calculate the total bit rate for a 1080/50p video system(4:2:2) we need:
...
2
votes
0answers
64 views
Determine line rate and frame rate of a system
I have as a homework to determine the line rate and frame rate for a system described above:
...
3
votes
1answer
37 views
Erosion in image
I don't if I am posting my question in the correct place. I have tried hard to solved it but I am unsuccessful.
I have an structuring element shown below:
...
0
votes
0answers
16 views
Consider filtering n*n images by separable m*m filters.What are the computation time for filtering using FFT;2-D convolution;by two 1-D convolutions
Consider filtering square n*n images by square, separable m*m filters.
a) Give general equations for the computation time for the following approaches to this 1) filtering using FFT 2) by 2-D ...
1
vote
0answers
37 views
Proving a cyclostationary processes signal
Suppose a random signal $x(t)=\sum\limits_{n=-\infty}^\infty Z_n \delta(t-n\tau)$, where $ z_n = Z$ and $Z$ is a random variable with equal probability to be $+-1$, is passing through a low pass ...
2
votes
0answers
48 views
How do I check controllability and observability using Gramian matrixes?
I have a pending exam and this is one of the must-know questions. It will be about checking controllability/observability of a simple MIMO linear system, using Controlability Gramian/Observability ...
2
votes
1answer
152 views
IIR filter design in matlab
I have to design 2 IIR bandpass filter with the following specifications:
Sampling frequency 1000 Hz
Pass-band 50 Hz to 200 Hz
Order 6
using bilinear transform and impulse invariance with Butterworth ...
2
votes
2answers
79 views
Finding the frequencies given in a wav file
I have a wav file containing a series of chords, each containing 3 or 4 notes, played concurrently.
I need to find the frequencies of each note in each chord, and I can use matlab to do any ...
0
votes
0answers
68 views
Local histogram equalization
I want to learn computer vision and so I downloaded image processing slides from my university archive. I'm on histogram equalization. Learning about local histogram equalization points me out to this ...
8
votes
3answers
179 views
Gesture recognition using only simple techniques
I'm following a computer vision course and I have this exercise: write a program that, given an hand image, it can recognize if the hand is open, closed, in a punch, or holding an "ok" posture, using ...
7
votes
0answers
231 views
How to deduce a linear system's impulse response from a set of input/output signals?
I want to know how to solve those types of problems.. is it by inspection ?
Consider the linear system below. When the inputs to the system $x_1[n]$, $x_2[n]$ and $x_3[n]$, the responses of the ...
1
vote
0answers
48 views
The transmitted signal of DPSK
I am very confused about how to get the transmit sequence of the DPSK signal.
In my lecture notes, teacher give as the following example.
...
1
vote
2answers
76 views
Obtaining the Impulse response from the frequency of a discrete system
I have the following discrete system's transfer function (Z domain):
$$h[z] = {z \over z - \frac{1}{2} }$$
I need to obtain the following:
The frequency response.
The impulse response.
The fourier ...
5
votes
2answers
130 views
Find the frequency response of a system
I'm trying to find the frequency response $$H(\omega) = Y(\omega)/X(\omega)$$
for this system- the signal equations are given:
$$y[n] = v[n - M] - g * v[n]$$
$$v[n] = x[n] + g * v[n - M]$$
I've tried ...
3
votes
3answers
241 views
LPF and HPF Confusion - Rectangular and Circular Cut-Offs
Interpreting some homework, I'm a little confused on what it's asking for. I'm asked to filter in the frequency domain (easy enough, just a fft2 and ifft2 when I'm done) a 256x256 8bit grayscale tiff ...
0
votes
0answers
174 views
calculate frequency at -6 db
I have to do an exercise. Given this signal: $H(f)=\frac{\frac{T}{2}}{1+(\pi f\frac{T}{2})^2}$ calculate the frequency at $-6 db$. How can I resolve this exercise? I tried this: ...
1
vote
2answers
136 views
period of this signal
it could be a donkey question but I'm a little confused.
I have this signal $w(t)=sin({\pi}0.1f)$. I have to calculate the period of this signal.
$w(t)=sin(2{\pi}\frac{1}{20}f)$
the period of this ...
3
votes
2answers
200 views
Given the Graph of a Fourier Series $\sum c_k e^{2\pi ikx}$ Find the Graphs of $\sum c_{3k} e^{2\pi ikx}$ and $\sum (c_k)^2 e^{2\pi ikx}$
Define a 1-periodic function on $\mathbb{R}$ by:
$f(x) :=$
$\left\{\begin{matrix}
1 & if & 0<x<\frac{1}{10}\\
0 & if & \frac{1}{10}<x<1
\end{matrix}\right.$
with ...
7
votes
1answer
273 views
Help solving a convolution problem
I'm finding in trouble trying to resolve this exercise. I have to calculate the convolution of this signal:
$y(t)=e^{-kt}u(t)*\frac{\sin\left(\frac{{\pi}t}{10}\right)}{({\pi}t)} $
where $u(t)$ is ...
2
votes
1answer
63 views
Conversion between primary colours
Heads up, this is homework. Just a little stumped :)
I have some arbitrary primaries, A, B, ...
2
votes
1answer
259 views
Interpolation algorithms in computer graphics
I'm looking for an image-processing algorithm that uses interpolation (polynomial, spline, doesn't matter). I have to implement such algorithm to process a bitmap for my labs. It can't be image ...
3
votes
0answers
57 views
Finding the output for an input sequence
So I think I have the answer I just want to make sure I'm doing things correctly.
Let a be in the open unit disk, $F_s > 0$, and $0<f_0 < \frac{F_s}{2}$. Let $h[n]=0$ for $n < 0$ and ...
6
votes
3answers
348 views
Fourier series representation
Conceptually when we want to represent a peroidic series, for example a pulse train, we find the Fourier coefficients and get a representation in the time domain.
However what is conceptually wrong ...
1
vote
1answer
94 views
Need help finding the Frequency Response
So I have this system: $y(n) = \frac{1}{N+1}\sum_{k=-N}^{N}(1-\frac{|k|}{N+1})x(n-k)$. Now for the impulse response I'm getting $$\frac{1}{N+1}(1-\frac{|k|}{N+1}) \;\;\;\;for\;\;\;\; |n|\leq N$$ ...
3
votes
1answer
210 views
How to 'interpret' the Fourier Transform (specifically, of a convolution kernel)
As part of a homework assignment, I had to take the Fourier transform of the kernel I was using to convolve a signal. The kernel was a constant rectangular function, that was 1 within the square ...
6
votes
1answer
203 views
How to combine a rotation matrix and a stretch matrix into a single matrix for easy Fourier Transform
For full disclosure, this is related to homework. I have to find the Fourier Transform of a function that I've boiled down to the following.
I have a function $f(x,y)$ that I can think of as another ...
4
votes
1answer
307 views
When convolving two functions that are constants in a region and 0 everywhere else, where does the integration start?
Heads up, this is for homework. I never took a signals and systems course, so I'm behind on this stuff.
I want to compute the convolution of two rectangular regions. I know the standard equation ...
3
votes
2answers
1k views
Polyphase Decomposition in Matlab
I created the lowpass filter
h = firls(100, [0 .2 .25 1], [ 1 1 0 0],[.001 60]);
My goal is to get four filters $H_{k}(z) = H(W_{4}^{k}z) k =0,1,2,3$
From my ...
3
votes
0answers
99 views
Find $Y(\omega)$ as a function of $X(\omega)$ [closed]
I have a question regarding my homework.
Let's assume that the transform of $x[n]$ is $X(\omega)$.
Find $Y(\omega)$ as a function of $X(\omega)$:
$$ y[n] =\cases{x[n/2],&\text{if } n \text{ ...
2
votes
2answers
464 views
Find h[n] using DTFT properties
Using the DTFT property, find h[n] of a system where:
Is it an FIR or IIR system?
3
votes
1answer
130 views
What transformations have been applied to this image to yield four derivatives?
In a few days I have an exam of image processing. I'm currently having a look at the example exam and I came across this question. "Which transformation of this image is being done here. Explain the ...
6
votes
1answer
2k views
How to find frequency response, stability, and causality of a linear system?
I have the following transfer function:
$$H(s)=\frac{s}{(s+1)(s+2)}$$
How can I find the gain and phase response of the above system? I know the first step has something to do with substituting $s = ...
8
votes
1answer
279 views
Roberts Edge Detector how to use?
I am trying to use Roberts edge detection to process an image. Do I just apply both of the masks to the image and perform convolution as normal? Could someone give me the breakdown of how to use this ...
0
votes
1answer
258 views
1-D discrete cosine transform(DCT)
This was a past year paper question. Not sure how to answer it.
Question: The 1-D discrete cosine transform(DCT) of a sequence f(x), x =0,1,...,N-1 is
F(u) = c(u)* Summation of f(x) cos ( ...
3
votes
2answers
234 views
Question on 2-D Convolution
This was a question on one of my past year paper questions.
Question: Prove
$$f(m,n)*g(m-r,n-s) = f(m-r,n-s) *g(m,n)$$
where $f(m,n)$ and $g(m,n)$ are 2-D discrete functions, $r$ and ...
5
votes
1answer
144 views
Deriving 2-D discrete Fourier transforms
I have a problem in DFT. It was one of my past-year exam papers questions.
Question:
Let $F(u,v)$ be the 2-D Fourier transform of a 2-D continuous function
$f(x,y)$. Derive in terms of ...
