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5 views

DFT: Basis functions and Significance of dividing frequency by Sample length

A time domain signal can be decomposed into sinusoids which are based on basis functions. For a N sampled input, a cosine basis function is defined as: $$C_k[i] = \cos\left[\dfrac{2\pi k ...
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1answer
25 views

simulating noise with Yuler and burg

I want to simulate short term white noise with Yuler and Burg. It's said that it can give better results than Gauss-Markov. The problem is that each time the series diverge. Do you think that I made ...
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0answers
19 views

probability distribution of complex Gaussian column vector and conditional probability of complex Gaussian column vector

I have column vector $\vec r=[r_1\ r_2]^T$. $$\vec r =hA\vec s +\vec n$$ where $h$ is a complex number , $\vec n \sim \mathcal{C} \mathcal{N}(\begin{bmatrix} 0 \\ 0 ...
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0answers
19 views

Binary FSK optimal detection rule

Let us consider BFSK modulation with symbols $\in {{1,2}}$. For symbol m the transmitter sends $s_m(t)=\sqrt{P\over T} e^{j2\pi f_mt}$ where $m=1,2$ and $f_m$ is symbol's $m$ carrier frequency. The ...
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1answer
38 views

Real and complex low pass equivalent of band-pass signal

A real band-pass signal $s(t)$ with center frequency $f_c$ can always be represented as $$ s(t) = A(t) \cos(2\pi f_c t) $$ where $A(t)$ is real and can be viewed as amplitude. Also $$ s(t) = ...
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0answers
24 views

BFSK modulation what signal the transmitter actually sends?

I am trying to understand how modulation with carriers works(transmission part). I will express my question in terms of BFSK for simplicity. Let us condiser BFSK modulation with symbols {1,2}. Then ...
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0answers
12 views

need help with getting 95% ellipse area of a 2D PSR plot [on hold]

So I have been referring to the method of obtaining this as outlined in the following paper (pg 4 - 5): ...
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0answers
28 views

noise in signal

I am trying to add phase noise in signal. However, when i see the graph in frequency domain the spectrum is not broading. Can anyone tell me what mistake i am making? ...
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2answers
32 views

How to calculate the bandwidth of a continuous signal?

Can someone please explain how to compute the bandwidth of a signal? Like why the bandwidth of $5\sin(2t)$ is $0$ and of $\sin(2t) + \sin(3t)$ is $1$? Thanks.
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1answer
42 views

separating stationary and non stationary parts of univariate signal

Does anyone know if there is a procedure as to separate the stationary and non stationary parts of a univariate signal. I have seen signal source separation and blind separation algorithms (all of ...
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0answers
30 views

Detailed Analysis of Phase Delay of an Audio Signal

I write this question as a new reference point because it is difficult to find something exhaustive regarding this topic. I'm talking about the calculus and interpretation of the phase delay of a ...
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0answers
22 views

Signal reconstruction in FMCW radar

I am doing fmcw radar simulation. I have an output of mixer and from that I want to reconstruct the amplitude and phase of the signal. Therefore, I am taking hilbert transform and by the ...
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1answer
19 views

Bandwidth of a trimmed sinus wave

I generate a sinus which duration is 15ms and frequeuncy of 13KHz. Is its bandwidth is (1/15ms) ? Or in other words, BW = 66.6Hz? I ask that because I have two freqs in my system: 13K & 13.1K. I ...
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0answers
17 views

Find similarity rating in trajectories

I've got trajectories encoded in black and white. These are stored in a matrix with dimensions 150x150 (i.e. black = 1, white = 0). An example of two trajectories below (plotted): My objective is ...
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0answers
11 views

Cross spectrum using `cpsd` (matlab) of 2D matrices

I'm struggling with cpsd for 2D matrices. In my test, I've generated two 100x100 matrices (sine waves) s1 and ...
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0answers
26 views

Generating Wavelet family matrixes

We have unnormalized Haar matrix which, is for example, H4=[1 1 1 1;1 1 -1 -1;1 -1 0 0;0 0 1 -1] After normalizing it, we use for haar transform. I know how to ...
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2answers
75 views

Interpreting the FFT results of a structural vibration problem

System: Cantilever beam type models, with an accelerometer on the end. The beam base is excited at various frequencies in harmonic fashion on a shake table. This results in vibration in the beam. The ...
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3answers
71 views

Calculate and interpret the instantaneous frequency

I'm new to the principle of calculating the instantaneous frequency, and came up with a lot of questions on it. You find them all in a bullet-point list at the end of this text. The text might be a ...
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0answers
15 views

Received signal power when using multiple transmitters

If I have a two transmitter and one receiver system, with the transmitted power being $P_1 dBm$ for $Tx_1$ and $P_2 dBm$ for $Tx_2$. The signals from the two transmitters are added at the receiver ...
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1answer
32 views

Condition for optimal value to be the average

In many single parameter estimation process average is the optimal. Can anyone tell under what condition average is optimal? For example is average optimal if the data is iid, Gaussian or something ...
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0answers
17 views

Effect of pathloss on signal power

Consider I have two transmitters $tx_1$ and $tx_2$ at say a distance of $d_1=5\text{ m}$ and $d_2 = 15\text{ m}$ respectively from a receiver. Now, if I consider the effect of path loss in such a ...
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3answers
37 views

Delay signal according to normal distribution

I am trying to delay a signal by a certain number of samples. This certain number, I would like to generate using a random normal distribution in Matlab. I am using the following for generating the ...
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0answers
42 views

Velocity from acceleration data

I have an acceleration data from accelerometers. I want to get velocity from the data by integrate it using matlab. Here my coding :- ...
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0answers
18 views

What is instantaneous bandwidth of an LFM signal?

What is instantaneous bandwidth of an LFM signal? I know the meaning and calculation of instantaneous frequency of LFM signal and also the meaning of the sweep bandwidth. But I fail to understand ...
0
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1answer
24 views

What is the right algorithm to detect segmentations of a line chart?

To be concrete, given 2D numerical data as is shown as line plots below. There are peaks on a background average movement (with small vibrations). We want to find the values of pairs (x1, x2) if those ...
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0answers
18 views

Getting better results from the Lomb Periodogram of a time series

Two times series were simulated, one with a period of 100 and the other with periods of 20, 40, and 60, for example: ...
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1answer
51 views

Expected value of signals

If I have two signals $x$ and $y$ and this expression $E\{x[n]y[n-k]\}$, what is the expected value of the product? I have a basic understanding of EV based on probability, such as ...
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2answers
157 views

relation between luminance and eigen values of an image

There are some research papers in the literature which apply Singular Value Decomposition (SVD) on an image to decompose the image matrix into U, ...
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1answer
66 views

What is difference between outputs of Fourier transform and Fourier series of a periodic square waveform?

We can use Fourier transform of an aperiodic signal and Fourier series of periodic signal. But we can use Fourier transform formula for periodic function also. Now, let us consider a periodic square ...
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0answers
21 views

How to detect impulse noises in audio recording?

How do you detect impulse noises in audio recordings of speech? By "impulse noise" I am thinking about noises like: Typing on a keyboard A door slamming Somebody bumping into a table Tapping on a ...
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1answer
26 views

Shift a signal by a given number of samples

Is shifting a signal by a given number of samples, say $n$ samples, the same as the following in matlab: signal(n:end) instead of signal(1:end). That is, if the size of $signal$ is 200x1, does it ...
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0answers
15 views

how do we know that the AR model equation obtained in s-domain or z-domain?

i have obtained AR(9) model equation from time domain analysis. but how do i know the equation obtained whether in s-domain or z-domain? because the analysis for s-domain and z-domain is different. i ...
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0answers
26 views

Can we extract phase from higher scales within the CWT?

I have found that I can extract phase from scales higher than those located at the ridge peak of the CWT. I should point out that I'm using the analytic signal and a real wavelet. I find the ridge ...
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3answers
143 views

How condition for existence of Fourier transform is valid?

The condition for Discrete time Fourier transform to exist for function $f(n)$ is given as $$\sum_{-\infty}^\infty |f(n)| < \infty.$$ In case of continuous Fourier transform the difference is ...
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1answer
29 views

Improving velocity estimation

I have a sensor reduction model which gives me a velocity estimate of a suspension system(velocity 1) . This suspension system estimate velocity is used to calculate another velocity(velocity 2) via ...
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0answers
21 views

PID Control - process variable / setpoint

I'm trying to design a PID controller but I have a problem in the following case: The process variable can only be between 0 and 1. The setpoint can be close to one, for instance 0.97. Hence the ...
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0answers
22 views

Zero Crossing rate

I have a question. Is it possible to have negative zero crossing rate? (can rate be negative?!?) Because I saw a figure which the signal has been broken in frames each of 10msec, with the plot of ...
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1answer
40 views

Linear Prediction Coefficients

I want to learn how to compute linear coefficient, but to be honest - I can't. I know how to use them if i have it and why I want them. Suppose this toy example: A signal $x=[-1, -2, 0, 1]$ ...
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0answers
43 views
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0answers
27 views

Goertzel filter Poles on unity circle influence of a behavior of a signal at high frequency

I'm trying to apply a goertzel filter on my sound data of 20500 Hz with sampling rate of 44100[samples/sec]. My bit duration which is passed to the goertzel function is returning a very low magnitude ...
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0answers
24 views

Is negative frequency important in calculating Spectral Moments

A follow on question form this one (What is meant by "spectral moment"?) In answers to the above referenced question spectral moment is defined as: $$ m_k=\int_{-\infty}^{\infty} ...
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1answer
54 views

What is the reason for filtering out the negative frequencies of a signal?

I am reading this tutorial. Quoting the lines from the topic "Analytic signals and Hilbert transform filters": the corresponding analytic signal $ z(t)=x(t) + j {\cal H}_t\{x\}$ has the property ...
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1answer
20 views

Path loss effect on BER

Does including log distance path loss to a communication system cause a drastic difference to the BER of the system? In other words, if I have a simulation for a communication system without path ...
1
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1answer
41 views

Pixel time series trend: What are the causes?

I have taken an video of the following static scene for 10 mins (3 frames/Sec); totally 1800 frames for 10 mins. I also show here the pixel time series, that is, a set of values of a particular ...
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0answers
27 views

How are sounds turned into phonemes

In the field of speech recognition, part of the process is to take a voice signal and break it up into constituent phonemes. For example, the English word hear is ...
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2answers
35 views

Log Distance Path Loss Model

While simulating a MISO system, I am trying to consider the effect of varying the distance between the transmitter and receiver on the BER. My search for the effect of varying distance has pointed me ...
2
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2answers
39 views

Any basic paper on biomedical signal processing to practise with?

I am quite interested in biomedical signal processing and I am looking for some biomedical signal processing papers in order to reproduce the results that they obtained. The idea is to redo what they ...
0
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1answer
50 views

How do I perform Specral Analysis (FFT, Windowing, Detrending) on Sonic Anemometer Data?

I am having trouble with all of the forums that I have looked at thus far. I have one day's worth of Sonic Anemometer data. I want to see the specral analysis of this data. When the anemometer data ...
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2answers
54 views

How can one put information within a signal waveform and make it to traverse through different kind of medium? [closed]

This is a soft question. There are different types of signals like analog ,discrete or digital one. But my question is how can one put information within a signal waveform and make it to traverse ...
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1answer
40 views

Simulation at Baseband or Passband

A naive question I guess. Would it make a difference in the results when a system is simulated at Baseband or at Passband. If I have a plot of a BER vs SNR curve that has been plotted at Baseband, ...