Tagged Questions

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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1answer
20 views

How to apply “Substitution Method” in Difference Equations?

How to get the value of $y_p(n)$ using substitution method? What exactly do we need to substitute to get the value?
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1answer
32 views

How to prove that this impulse response is stable?

This is the impulse response: Can anyone give a detailed method to prove that it is stable or not ?
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0answers
37 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 ...
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0answers
48 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 ...
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0answers
29 views

Filter design using inverse dft

How do I get the cut-off frequency? A filter is needed to recover $x_2(n)$ from the signal: $$x(n) = x_1(n) + x_2(n) + x_3(n)$$ where: $x_1(n) = \sin(0.5n)$ $x_2(n) = \sin(1.4n)$ ...
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2answers
42 views

Frequency Response Output

I'll start off by saying, yes this is a homework problem, and no I do not want the answer. I simply need to know where to start. The input to a system with a frequency response of $H(\omega)$ is ...
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1answer
39 views

Convolution of h(n) & x(n)

can anyone please help me with finding Convolution for following problem ..... 1) $h(n) = \delta[\sin(1 + |n|)]\quad \text{and}\quad x(n) = \sin(n^2)$ 2) $h(n) = \delta[\sin(2\pi n/N)] \quad ...
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1answer
51 views

Solving for impulse response

I'm working on some problems that instruct me to find the impulse response of a given system. For example $$y(n)=4y(n-1)-4y(n-2)+x(n)-x(n-1)$$ The first step I take is to find the homogeneous ...
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1answer
34 views

Discrete Time to Frequency Response

I'm learning (trying to learn) how to find a frequency response. I have a discrete time equation and want to understand the process for finding a frequency response. Ex: $$f(n) = ...
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1answer
109 views

Solution to Cross-correlation problem of 2 audio signals

There are 2 audio signals, X & Y. X is of 15 second duration. The duration of Y is not given. Y is a part of signal X (ie a small part of audio X is extracted & made into audio Y) I have to ...
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1answer
71 views

How to derive the answer to this convolution problem?

I came across this below question, (which was a homework assignment question for Signal Processing class, which my friend mailed me for help solving), mulled over it for an hour and had no idea how to ...
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0answers
42 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 ...
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2answers
80 views

Frequency spectrum of a sinc function

I am doing one example from my book as a preparation for exam. The assignment is: It is given that: $$\mathbb{rect}(t)=pf(t) \leftrightarrow PF(f)=2AT_0 \cdot \mathbb{sinc}(2\pi fT_0)$$ you ...
2
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1answer
45 views

Stability of transfer function

Now K(s) is obviously the negative feedback loop which is ${H(s) \over 1+H(s)G(s)}$ When I substitute ${H(s) = {1 \over s-2}}$ I get K(s) = ${ 1 \over s-2 +G(s) }$ For the system to be stable ...
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0answers
14 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 ...
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0answers
39 views

Image processing(JPEG)

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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2answers
56 views

Computing impulse response for system with feedback terms

I'm trying to compute the impulse response for the following system: $$ y(n) = \frac{1}{2} \left( x(n) + x(n-1) \right) + \frac{1}{2} y(n-1) $$ and am told to assume that $y(-1)=0$. My solution: ...
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1answer
111 views

Time domain signal $y(t)=\sin(50\pi t)+3\cos(60\pi t)$ [closed]

A time domain signal $y(t)=\sin(50\pi t)+3\cos(60\pi t)$ must be sampled with no amplitude ambiguity of aliasing. What minimum sampling period should be chosen to meet this goal? What is the ...
0
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1answer
82 views

how to find the “Natural and Total Response” of the system

Hello there I am a Student. I need to know how to find the Natural and Total Response of the given system: where: $x(t)=e^{-t}u(t)$ and $y(0^+)=2, \dfrac{d}{dt}y(0^+)=3$. (If the image above is ...
1
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1answer
98 views

Identification of the system with zeros

I need to identify two systems. Those are their Unit Step responses: I don't know, what order of the system that is. It could be second order system with zero in 0. Lecturer told me it was third ...
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2answers
124 views

Intro Question to Signal Processing (Low-Pass Filter)

I have a noisy signal file in Matlab and I have to denoise the polluted signal using a discrete Fourier transform. I'm asked to perform the fourier transform, then take its absolute value. Then ...
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0answers
110 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 ...
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1answer
34 views

Obtaining the frequency and phase spectra from fourier transform?

For a question on my homework, I am given f(t) = e^(-a*abs(t)) and asked to find the Fourier transform of the function. I understand how to do that part, but then ...
2
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1answer
31 views

Gain of the system

There is a transfer function $G(s)= \frac{-2(s+4)}{(s+3)(s+2)(s+1)} $. Find its gain $K$. I'm not sure, what does this question mean. Is there any konstant gain for this system? I tried to find its ...
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0answers
835 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 ...
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2answers
94 views

Generate noise with arbitrary covariance

I am doing a time series change detection experiment. One of the experiments includes generating some artificial data for model evaluation. I came across a problem in generating noise data with ...
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0answers
138 views

Expression to represent alternating pulse train?

I have a question regarding an alternating pulse train signal, p(t), and a system which looks like this: Immediately, I'm supposed to be able to extrapolate that pt=p1(t)-p1(t-Δ) How do you ...
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0answers
30 views

What is the period of the output sequence?

Two periodic binary sequence with period $2^m-1$ and $2^n-1$, where $(m,n)=1$ are multiplied (ANDed) by each other. Show that the output sequence has a period of $(2^n-1)(2^m-1)$? It is easy to show ...
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0answers
59 views

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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0answers
692 views

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 ...
1
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1answer
211 views

Find v3 such that {v0, v1, v2, v3} is an orthogonal basis of R4?

In this question, we consider the Hilbert space of vectors in R4 with one of its basis {v0, v1, v2, v3}. Given the first three basis vectors $v_o=\left[\begin{array}{c} 1/2\\ 1/2\\ 1/2\\ 1/2 ...
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2answers
479 views

Minimum period of a signal

What is the minimum period P (in samples) of the signal $e^{j(\frac{M}{N} )*2πn}$ for the following values of M and N? M=1,N=3 M=5,N=7 M=35,N=15 I have got the answer for the first ...
2
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1answer
211 views

Intuitive interpretation of Laplace transform

So I am getting to grasps with Fourier transforms. Intuitively now I definately understand what it does and will soon follow some classes on the mathematics (so the actual subject). But then I go on ...
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0answers
75 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 ...
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1answer
595 views

defining the frequency range with fast fourier transform

In the following example I have used various examples found on the web to understand fft and detecting signals with matlab. ...
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2answers
88 views

Classifying this signal in dimension and number of channels

The question is: "Weight and height measurements of a child taken every month" Classify this signal as: one/multidimensional single/multichannel I'm not understanding how this can be described ...
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1answer
1k views

Power Relation in DSB-FC AM [closed]

So, in my class I have to learn how to derive the power relation in a Double Side Band, Full Carrier Amplitude Modulated Wave However, I have hit a wall somewhere. ...
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0answers
66 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 \ ...
1
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1answer
92 views

Determine if an impulse is minimum phase and compute a zero-phase equivalent

The impulse is given as a sequence: $x: {10; -3; -1}$. To determine if it is minimum-phase I compute the $Z$-transform (the geophysical case, positive powers of ...
2
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1answer
195 views

Signal-to-Noise Ratio (SNR) needed to discern two superimposed signals

Say I am trying to measure a exponentially decaying signal ($S_y$), that constitutes a portion $\gamma$ (about 5% so $\gamma=\frac{1}{20}$) of total signal measured($S=S_y+S_b$ and $S_b=S_0 \beta ...
4
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1answer
253 views

how to compute a discrete fourier transform on fragmented data

I have a list of collected data points that I need to take a DFT of, however with the problem that about one quarter of the data points in the middle are missing, and so even though the existing data ...
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1answer
247 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....
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1answer
105 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?
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0answers
845 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 ...
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1answer
343 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: $f_1(t)=A_1$ $f_2(t)=A_2\cos(0.05t)$ ...
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0answers
238 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: ...
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0answers
176 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: ...
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1answer
60 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: ...
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0answers
36 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 ...
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0answers
79 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 ...