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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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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 ...
3struck's user avatar
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3 votes
0 answers
523 views

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 ...
user21062's user avatar
3 votes
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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 ...
Vorac's user avatar
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3 votes
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176 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 $h[...
Zaubertrank's user avatar
2 votes
0 answers
5k views

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 ...
code8x's user avatar
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2 votes
0 answers
2k 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: ...
20317's user avatar
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2 votes
0 answers
380 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 ...
Samuel's user avatar
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1 vote
0 answers
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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, ...
yba's user avatar
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1 vote
0 answers
126 views

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.\ \...
lemoncake's user avatar
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0 answers
34 views

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 ...
user46852's user avatar
1 vote
0 answers
72 views

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 ...
roffensive's user avatar
1 vote
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566 views

Finding the Period of a Signal by Its DTFT Data

find period of DTFTs where vertical lines represent Dirac deltas
mpsimham's user avatar
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211 views

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 ...
Bing Li's user avatar
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1 vote
0 answers
177 views

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-...
Sharov's user avatar
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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 ...
user8699's user avatar
1 vote
0 answers
538 views

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 ...
Solix's user avatar
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1 vote
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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 ...
ELL's user avatar
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0 answers
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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 ...
KillaKem's user avatar
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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 ...
jico's user avatar
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1 vote
0 answers
1k 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: ...
20317's user avatar
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1 vote
0 answers
931 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 ...
nkint's user avatar
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0 answers
138 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. ...
Samuel's user avatar
  • 415
1 vote
1 answer
216 views

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?
Mahadesh's user avatar
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33 views

Need help with deriving a recursive formula for a control system optimization integral

I need some help with a problem that appears in one of the exercises of "Introduction to Stochastic Control Theory" by Karl J. Åström: Chapter 5, page 141, problem 8. It is about deriving a ...
mattTheMathLearner's user avatar
0 votes
0 answers
25 views

How to prove this system is not causal?

I set $x_1(t)=0$ and use the final rest property to get $y_1(t)=0$, and $y_2(t)=0$ for $t>1$. However, I cannot find general $y_2(t)$ for $x_2(t)$.
LSK's user avatar
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0 answers
58 views

Finding the Power Spectral Density of $x(t)$

Consider a binary signal $x(t) = \sum_{n=-\infty}^{\infty}a_ns(t-nT_b)$ where, $$ s(t) = \left\{\begin{matrix} 1& t\in[0, T_b) \\ 0& o.w. \end{matrix}\right. $$ and $$ a_n = \left\{\begin{...
albusSimba's user avatar
0 votes
0 answers
51 views

Finding inverse $Z$ Transformation of a LTI system and switching of input output signal regarding to difference equation

I have 2 stuffs that are bothering me: I have the equation: $y[n]=8x[n]-2x[n-2]-x[n-4]$ When $x[n]$ input and $y[n]$ output. Now, the system is swapped, $x[n]$ output and $y[n]$ input The difference ...
Ben Shaines's user avatar
0 votes
0 answers
29 views

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 ...
Sotiris Siatiras's user avatar
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0 answers
94 views

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 ...
Toxicone 7's user avatar
0 votes
0 answers
35 views

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_{...
pflykyle's user avatar
0 votes
0 answers
130 views

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{\...
user avatar
0 votes
0 answers
138 views

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 ...
In the blind's user avatar
0 votes
0 answers
72 views

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 ...
Nothing's user avatar
0 votes
0 answers
2k views

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 ...
keanehui's user avatar
0 votes
0 answers
66 views

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 ...
Mohamed Azab's user avatar
0 votes
0 answers
121 views

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 ...
Gary Hand's user avatar
0 votes
0 answers
197 views

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 ...
JimPanse's user avatar
0 votes
0 answers
398 views

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 ...
Richard Burke-Ward's user avatar
0 votes
0 answers
921 views

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 ...
Adrian Zappa's user avatar
0 votes
0 answers
24 views

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 ...
Valten1992's user avatar
0 votes
0 answers
525 views

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 ...
Sam's user avatar
  • 133
0 votes
0 answers
152 views

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 \ \...
engineer's user avatar
0 votes
0 answers
365 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: $\frac{\frac{T}{2}}{1+...
Mazzy's user avatar
  • 555
-1 votes
1 answer
109 views

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 ...
canuel's user avatar
  • 17
-1 votes
1 answer
358 views

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}) = \...
Eiv's user avatar
  • 1
-1 votes
1 answer
115 views

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} ...
tonythestark's user avatar
-1 votes
1 answer
5k views

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 ...
keanehui's user avatar
-1 votes
1 answer
169 views

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 ...
Scavenger23's user avatar
-1 votes
1 answer
4k views

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 ...
Uygar Uçar's user avatar
-1 votes
1 answer
687 views

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}) =...
CuriousButDumb's user avatar