# 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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### 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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### Find constants such that the Nyquist criterion is satisfied [closed]

I have been given the following spectrum, and I want to find a and b such the pulse satisfies the Nyquist criterion, given that the bandwidth of the pulse is 2 kHz and the sampling frequency is 3 kHz. ...
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### How can I find the following Fourier Transform without directly using FT pairs?

The question is to find the CTFT of $$x(t) = e^{-t}u(t)\cdot \sum_{n=-\infty}^{\infty} \delta\left(t-\frac{n}{2}\right)$$ Now I know that multiplication in time means convolution in the Fourier Domain ... 45 views

### Magnitude spectrum of LTI system output signal

First year student so please excuse my lack of knowledge. As i understand i need to use convolution which is: $$y^{out}(t) = u^{in}(t) * h(t)$$ Or maybe my thoughts are wrong so please correct me. ...
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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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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: $$y(m,n)=\sum_{i=-1}^{i=1}\sum_{... 2 votes 1 answer 105 views ### How to find the variance of a noise signal distorting an ADC measurement Say we have a 12-bit ADC measuring a signal with a voltage range of 0-10V, but the signal is corrupted by uniformly distributed 3-bit white noise. What's the correct way to get the variance of the ... 1 vote 1 answer 113 views ### Trouble with subtracting a signal by a unit impulse For my homework I was given the signal by the illustration: I was asked to draw the illustration for$$x_1(t) = 3x(-1+0.5t) - \delta(-t+3)$$I have figured out how to draw the 3x(-1+0.5t) part, but ... 0 votes 1 answer 94 views ### What does it mean to find the steady state output in this case? I have a given h[n] = 0.96^n for n \in \{0,1,...,119\} and a test signal x[n] = \cos(0.05\pi n) for n \in \{0,1,...,N_x -1\} where N_x = 120,000. Now, I can analytically find the output y[n]... 0 votes 0 answers 117 views ### How to find the following DFT? Let x[n] = \cos(\frac{\pi}{8}n) and X(k) = \text{DFT}_{16} \{ x[n]\} In order to find X(k) I write out the DFT sum:$$X(k) = \sum_{n=0}^{N-1} x[n] e^{-j2\pi kn/N} = \sum_{n=0}^{15} \cos(\frac{\... 152 views

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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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### Understanding LTI systems graphically

I'm currently working on this problem from Oppenheimer's book: Given $x_{1}(t)$ and $y_{1}(t)$ I should figure out $y_{2}(t)$ and $y_{3}(t)$ given that the system is LTI. My progress so far: I'm ...
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### How do I check for linearity for the following piecewise-defined system?

The problem at hand: Where I'm currently stuck: I'm not entirely sure about how to move on from this point, I'm trying to find the superposition of the responses of the two individual signals so I ...
Objective : Compute $y(t)$ from $Y(j\omega)=H(j\omega)X(j\omega)$ where : $$x(t)=\left(\frac{\sin(2t)}{\pi t}\right)^{2}$$ and $$H(j\omega)=\begin{cases}e^{-j\omega}&\text{if |\omega|<4}\\... 0 votes 2 answers 1k views ### How to Implement the moving average filter in time domain in MATLAB? [closed] I have a sinusoidal x(t) = sin(500πt) signal is corrupted by random noise. The corrupted signal is sampled with sampling frequency fs = 5 kHz and passed through a 5-point moving average filter to ... 0 votes 1 answer 45 views ### Calculate the power of a discrete-time signal We got this question in our test :-$$S(t) = 5\cos(10πt - π/2) + 6\sin(15πt)\cos(15πt)$$My Solution :-$$S(t) = 5\cos(10πt - π/2) + 3\sin(30πt)\qquad \textrm{[Using $\sin(2A) = 2\sin(A)\cos(A)$]}...
I was trying to solve this question : I respresented $x(t) = u(t+1)-u(t-1)$ writing the convolution as $[u(t+1)-u(t-1)]*h(t) = y(t)$ I then used the property of differentiation to convert from the ...