Questions tagged [homework]
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.
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questions with no upvoted or accepted answers
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Solving the PDE of a signal in an optical fiber
Disclaimer Please let me know if this is not the right place to ask this question.
Disclaimer Part 2 I have no background in signals. My focus is in mathematics.
In my programming class, we are ...
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Implementing blind deconvolution in MATLAB
I want to implement blind deconvolution for the signal $ r(n) = h(n) \star s(n) + a(n)$ in MATLAB where
$r(n)$ is the recorded speech
$h(n)$ is impulse response of room acoustics
$s(n)$ is desired ...
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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 ...
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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 $h[...
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Adaptive Delta Modulation For Speech Signals
I need to implement an adaptive delta modulation encoder and decoder using matlab for my term project. How can I code a good adaptive delta modulation? How can I change ...
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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:
...
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367
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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 ...
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Labels in speaker verification
I'm a beginner.
If I am using a Convolutional Neural Networks with Triplet Loss as a loss function (also combined with GAN and a Classifier) for building a model that performs Speaker Verification, ...
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Finding original signal $x(t)$
For given 4 conditions, I have to find out what is $x(t)$ with period of 3, and I don't know if $x(t)$ is real or not.
For fourier coefficients $x_k$,
$$1.\ x_k=x_{k+2}$$
$$2.\ x_k=x_{-k}$$
$$3.\ \...
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Explain if the following processes are stable or not
I have got a question about my homework and was wondering if anybody could help. In the picture below you can see the processes. I need to determine whether they are stable or not.
Now I have only ...
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How to calculate the magnitude of rounding error in N-bit signed fixed-point arithmetic?
In example take into consideration 11-bit <11,5> signed fixed-point arithmetic.
000000.11111 - 0.96875
000001.00000 - 1
so the error magnitude will ...
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Finding the Period of a Signal by Its DTFT Data
find period of DTFTs where vertical lines represent Dirac deltas
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MATLAB implementation Spline Fitting
Let $s(t)$ be a signal that can be approximated by a uniform spline
function of order $K$ (say $K=2$): $$s(t)\approx\sum_{n\in \mathbb{Z}}c_n\beta_+^{(K)}(t-n) $$
Suppose that we know the ...
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Multiply filter kernel by sine
1)Suppose that we have low-pass filter with cf equal to 0.1. How frequency response would look like if I multiply filter kernel by sine with frequency say 0.3? How this is related to converting
low-...
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Image Compression (JPEG) - Show the Effect of Number of Coefficients on Quality
write an m-file that will take the"cameraman" and produce a image quality or difference matrix for spectral selection method.The image properties are a sfollowings:
For spectral selection:
image1:DC ...
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GLOBAL THRESHOLDING using histogram
There is a recursive way of finding threshold in the image using histogram that are biomodal, and is as follows:
An automated procedure for bimodal histograms :
Select an initial estimate of T
...
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Find another cosine y(t), whose frequency is as close as possible to that of x(t),
I am going to be straight forward and say this is one of the problem sheets and I am stuck on one of the questions. I already know the answer as I have been given them but I am trying to work ...
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The Fourier Series, Amplitude and Phase Plot of a Saw Tooth Waveform
I am trying to find the amplitude and phase plots of the saw tooth waveform pictured.I have already computed the Fourier series of the waveform but I don't know how to derive the amplitude and phase ...
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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 ...
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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:
...
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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 ...
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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.
...
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answer
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Periodicity of signals
$$x(t) = \cos(2 \pi t) \cdot u(t)$$
$$y(t) = x(t) + x(-t)$$Is $y(t)$ periodic. If so, what is the $T$?
$$x(t) = \sin(2 \pi t) \cdot u(t)$$
$$y(t)= x(t) + x(-t)$$
Is $y(t)$ periodic?
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How can I identify possible tonal maskers from frequency and DFT coefficients?
I have a question given in my homework and I have no idea how to even approach it:
Given I have 5 frequencies that are inside the zone of a bark from 200-300 HZ ...
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73
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How many samples are needed to compute an DFT?
Given a signal $x(t) = \frac4{10}\cos(800πt) + \frac12\cos(820πt) + \frac1{10}\cos(880πt)$ and knowing that the sampling frequency is $4000$ Hz.
How many samples are needed at least to represent the ...
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34
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Verifying Linearity and Shift Invariance Under Summation
I am having some trouble working through verifying linearity and shift invariance when the transformation is under a summation.
The given transformation is as follows:
$$
y(m,n)=\sum_{i=-1}^{i=1}\sum_{...
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How to find the following DFT?
Let $x[n] = \cos(\frac{\pi}{8}n)$ and $X(k) = \text{DFT}_{16} \{ x[n]\}$
In order to find $X(k)$ I write out the DFT sum:
$$X(k) = \sum_{n=0}^{N-1} x[n] e^{-j2\pi kn/N} = \sum_{n=0}^{15} \cos(\frac{\...
user67157
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Impulse response from the transfer function
The discrete system has poles at points $z_{1,2} = 0.8e^{\pm{i\pi /6}}$ and $z_{3,4}=0.8e^{\pm{i\pi/2}}$, and two-fold zeros at $1$ and $-1$. The task is to determine the impulse response of the ...
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What is the probability of binary digits produced
An information source produces a long sequence of three independent symbols A,B,C with probabilities 16/20, 3/20, and 1/20 respectively; 100 such symbols are produced per second. The information is to ...
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Finding the frequency response $H(\omega)$ of a shifted sinc function
Given
$$h[n]=\frac{\sin\left(\frac{\pi}{3}n-\frac{\pi}{3}\right)}{\pi n-\pi}\text,$$ use the table to find the frequency response $H(\omega)$.
I don't have any clue that how to deal with the ...
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65
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Signal to Quantization noise problem
a full scale signal of bandwidth 5 khz is sampled by an 10-bit ADC at a sampling rate of 2 Msa/sec
calculate the Signal to Quantization noise of the resulting DT signal
repeat for a 14-bit ADC at ...
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Calculating the number of MACs in a system
I want to calculate the number of MACs. I am looking for the method.
How would I do it if I know the domain equations from a biquadratic digital filter. I have already calculated the Z domain ...
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187
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OFDM modulator: Transmission time calculation
I have a problem with a certain task.
The frequency of the signal sampling at the OFDM modulator output is
20 MHz. The length of the protection period is 2 microseconds and it is
20% of the ...
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366
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Equation for impulse train
I am looking for a formula (Fourier series) to generate an impulse train waveform - a spike-wave with amplitude and period both $1$ – so that $f(x)$ has value $1$ at $x = 1,2,3,4...$ and $f(x)$ has ...
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What are the frequency components of a sampled signal after low-pass filtering?
A continuous signal $x_a(t)$ is a linear combination of sinusoids of frequency 250 Hz, 450 Hz, 1 kHz, 2.75 kHz and 4.05 kHz. The signal $x_a(t)$ is sampled at $f_s=$1.5 kHz, and the resulting digital ...
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Simulating rain interference
What fading model should I use for simulating rain loss in my network simulations? I am using NS-3 for this and I'm quite lost on how to go about this.
My simulation is just simple packet streaming ...
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524
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How is it possible to find the Fourier transform of unit impulse function?
Since Fourier transforms are applicable to only periodic functions, and unit impulse function{..0,0,1,0,0..} doesn't seem periodic, is this possible?
Is it like we are considering unit impulse ...
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a static AWGN channel
Consider a static AWGN channel
$$
Y = hX+N
$$
where $h$ is a constant channel gain and the noise $N(0,N_1)$ is independent of the input $X$. The input is from a 2-PAM constellation, i.e., $X \in \ \...
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353
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calculate frequency at -6 db
I have to do an exercise. Given this signal: $H(f)=\frac{\frac{T}{2}}{1+(\pi f\frac{T}{2})^2}$ calculate the frequency at $-6 db$. How can I resolve this exercise? I tried this: $\frac{\frac{T}{2}}{1+...
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Impulse response $h[n]$ of a non linear I/O equation
my question concerns an assignment that was given to us at school.
We have been given a list of I/O equations and it is required, for each of them, to find the impulse response $h[n]$ and the ratio ...
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Find response of discrete time LTI system given input and impulse response
For this question the guide says to use $Y(e^{j\omega}) = H(e^{j\omega}) X(e^{j\omega})$.
I have been able to find the discrete time Fourier transform of the impulse function as $$H(e^{j\omega}) = \...
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1
answer
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Output of LTI (in time and frequency $\omega$ domain) : when input goes through LPF
I would like to raise a mathematical question :
Let's say we are been given :
$$x(t) = \begin{cases} \cos(\pi t) & |t| \leq 0.5 \\
0 & \textrm{otherwise} ...
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1
answer
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Calculating the magnitude spectrum and phase spectrum
From a window function $x(t)=u(t+2)-u(t-2)$, we can get the Fourier Transform $X(j\omega)=\frac{2\sin(2\omega)}{\omega}$.
Then, I want to calculate its magnitude spectrum and phase spectrum.
The ...
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1
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How do I know what is causing the noise in my signal
I have a noisy audio file, available here (It is safe to download if you wish to)
https://ufile.io/pstrt
Now, I inspect it in matlab:
And then i plot it on normalised frequency:
Now I need to ...
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Ratio of the power in the sidebands to the total power in conventional AM
Message signal and carrier signal are given as
$m=\cos(2 \pi \cdot f_{m} \cdot t) $
$c=A_{c}\cdot \cos(2 \pi \cdot f_{c} \cdot t) $
I was asked to find modulation index $a$ so that ratio of the ...
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1
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648
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Pole zero plot, normalizing frequency response plot?
I'm asked to plot the frequency response (amplitude) given a specific pole-zero diagram.
$$ H(z) = H_0 \frac{\prod\limits_{m=1}^{M} (z - q_m)}{\prod\limits_{m=1}^{M} (z - p_m)}$$
$$ H(e^{i\omega}) =...
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1
answer
539
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Fourier Coefficients
Consider the signal
$$x(t)=\cos(2\pi t)$$
Since $x(t)$ is periodic with a fundamental period of $1$, it is also periodic with a period of $N$, where $N$ is any positive integer.
What are the ...
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1
answer
1k
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How do I find the ROC of a system if it has no poles
The output of a system of discrete time $y[n]$ is corellated with the input $x[n]$ through the equation $y[n]$.
$$y[n] = \frac 13\big(x[n-1]+x[n]+x[n+1]\big)$$
It then asks me to find the system ...
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1
answer
142
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How to find average and power of a signal
I need to find the average and the power of this signal:
$$x(n)=\sum_{k=1}^{\infty}2^{-k}e^{j2{\pi}kn}$$
The problem is that the summation starts at 1 and not at 0, and a part of that how can I find ...
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1
answer
587
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Finite moving average filter
I am trying to solve this problem but I need a lot of help. Below are my answers for the separate parts, please check and tell me where I am wrong because I am weak on the fundamental concepts of this....
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