A discrete signal or discrete-time signal is a time series consisting of a sequence of quantities.

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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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15 views

How to shift with spline interpolation?

I have a sampled pulse shape: $ h = [1, 0.5]$ and I do not know what is its real underlying continuous-time pulse. I want to compute the samples of $h(t-\Delta t)$. If I write the continuous pulse ...
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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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1answer
46 views

find the phase coherence factor?

How to find out the phase coherence factor from the two different discrete signal ? For example: $$x_1=\sin((2 \pi \cdot 50 i) + 30)$$ $$x_2=\sin((2 \pi \cdot 50 i) + 60)$$
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how to explain the absorption of energy using root of equation's plot? [closed]

Good day, I am now researching on composite's volume fraction (vf). I have 12 different vf. I want to prove that different vf will lead to different response. therefore, I am going to prove it by ...
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4answers
91 views

What kind of features can I extract from this signal

I want to monitor (automatic-)gearbox failures on some vehicles. For each vehicle I have a captured signal representing the selected gear at each one millisecond. An example of two signals are shown ...
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1answer
14 views

Transform a continuous time differential equation of a Low Pass Filter to discrete time

Assuming I have a linear differential equation of first order low pass filter: $$RC*y(t)'+y(t) = x(t) $$ And Assuming i know now that the input x(t) is being sampled at a rate of $T_s$ how can now ...
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1answer
29 views

Confusion related to PN sequence : Terminology and application in statistical signal processing

A Pseudo-random Noise (PN) sequence is a sequence of binary numbers, e.g. ±1, which appears to be random; but is in fact perfectly deterministic. The sequence appears to be random in the sense that ...
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15 views

Get discrete point from frequency response

If we have b=[1 2 3] discrete points and we want to frequency response with 30 uniformly distributed dense grid which are between [0,3], are every points of b certainly represent from 10 frequency ...
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1answer
31 views

Fir filter not working according to frequency response

I have designed a FIR filter with following parameters fs=30, f_pass1 = 1, stop1 = 0.5, f_pass2 = 3, f_stop2 = 4, A_pass = 1,A_stop = 40 Here is code : ...
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0answers
15 views

Identify correlated colored noises that affect a signal

In the process of signal + noise, which is not stationary. In this case how could I a. determine what autocorrelated noise colors affect a signal. b. What mix of correlated colors affect the signal ...
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1answer
45 views

Detecting a specific pop in a real time audio signal

I am listening for a very definite pop in a real time audio signal. So far I have managed to get the audio signal in at a sampling rate of 44100.0 Hz and 2048 frames per second. I have visualized the ...
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0answers
38 views

how to find the distance of the root from the origin?

Good Day, I have 9 polynomial roots. i have plotted the roots. my problems are: 1)how to find the distance of the roots from origin? I want to find the distance of all the roots from the origin. 2) ...
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1answer
32 views

How to plot the root of polynomial in Matlab?

I obtained this polynomial equations: $$A(z) = 1 - 0.7987 z^{-1} - 0.125 z^{-2} - 0.511 z^{-3} + 0.06889 z^{-4} + 0.3465 z^{-5} + 0.4809 z^{-6} + 0.04951 z^{-7} - 0.5298 z^{-8} + 0.1828 z^{-9}$$ How ...
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3answers
74 views

Uncorrelated but overlapping spectrum.

This answer may be straight forward but I cannot figure out. One can understand the difference between cross-correlation and convolution from the link below: What is the difference between ...
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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 ...
2
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0answers
47 views

EM algorithm and Kalman filter

I am new to the subject of Kalman filtering and therefore my question might seem trivial. I see that there is a tight connection between Kalman filter and EM algorithm when one wants to predict the ...
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1answer
113 views

Zero Padding of FFT

There are many question related to the zero padding a time domain signal to get more frequency bins after performing Fourier transform. As I understand this process is equivalent to trigonometric ...
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1answer
41 views

For linear IIR digital filter, what happens for negative frequencies?

By negative frequency, I refer to Fourier transform. Often, the frequency response of a digital filter is only displayed for positive frequencies. For a linear IIR digital filter, what happens for ...
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1answer
131 views

Expectation maximization of moving average with binary source input

I am trying to do blind system identification of a univariate linear FIR model: \begin{align} z(n) &= h_1 u(n-1) + h_2 u(n-2) + u(n) \tag{1} \\ y(n) &= \mathbf{h^Tz(n)} + w(n) \tag{2} ...
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2answers
50 views

Digital signal derivative

I'm new to signal processing and I need your help: I have an array of 128 elements (call it Window) filled with 128 samples taken from a sensor. I was wondering how ...
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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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1answer
33 views

Difference Equations, why M<=N for causality?

in my notes for DSP they have the difference equation general form as: y(k) + a1*y(k-1) + a2*y(k-2) + ... + an*y(k-N) = b0*x(k) + b1*x(k-1) + ... + bm*x(k-M) with the claim that for the output to ...
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1answer
42 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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1answer
22 views

Fourier Transform for speech signal [closed]

I need some clue on how to apply the Fourier transform to a wideband discrete signal like speech in Matlab. What I want to do is to apply the MUSIC algorithm to the speech recorded by a set of ...
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55 views

Is there an exact solution for this re-sampling problem?

I want to know if there is an exact solution for the following problem and how to approach solving it: I have a discrete-time signal where the Nyquist theorem is satisfied: $r_k = \sum_i ...
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1answer
31 views

Smooth (not) equally-spaced signal strength data

I'm currently trying to reduce the noise in/smooth sampled signal strength data. The context is that I collected data from a transmitting device using bluetooth - the available data is basically a ...
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1answer
22 views

When sinusoidal input starts at n=0, why are transient response associated with z-transform poles of digital filter?

In http://www.eng.ucy.ac.cy/cpitris/courses/ECE623/presentations/DSP-LECT-10-11-12.pdf, it says that when sinusoidal input $X(z)$ starts at n=0 (with n<0 having zero input) and the input passes ...
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2answers
55 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
23 views

What is the difference between transport delay and dead time?

I am confused on what the difference between transport delay and dead time is. They seem to have the same function, but I'm not sure. Can someone explain the difference if there is one?
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1answer
31 views

what is the amplitude of quantization levels?

okay , so there is an 8-bit linear PCM encoder . Now this mean that the amplitude of quantization levels is 2^8= 256 or I have to measure the values from oscilloscope ? does anybody have any idea how ...
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68 views

MATLAB, recover a signal that has a cosinusoidal interference and that has been AM modulated

I have a signal which has been AM modulated but the channel also added a cosinusoidal interference A cos(2 * Pi * f0 * n * Tc + Phase), at the same ...
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1answer
55 views

How does sampling rate affect discrete filters?

I am just starting to learn discrete filters and I could use some help. I understand continuous signals and filters. I am trying to understand the math behind discrete filtering. For example in the ...
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1answer
54 views

Minimum Energy Delay Property

I have 4 systems which are represented in z domain like this: Where I know the poles and zeros. Then I compute Partial Energy Sequence of impulse response of all these system using this formula: ...
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6 views

Discrete dataset into to continous dataset?

I am trying to perform system identification on a system.The input i am going to provide is sinewaves with different frequencies. I sampled a sine wave with 100 Hz which is used a input for the ...
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2answers
78 views

Upsampling by zero padding or duplicating sequence

I need to upsample a 2 MHz signal by a factor of 3000 to convert the OQPSK modulated baseband signal to passband. When I upsample by duplicating the elements in the sequence, I seem to get less error ...
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1answer
37 views

Frequency Spectrum of a sequence

The OQPSK modulator in Matlab produces an output sequence as follows: [0.707 0.707+0.707i -0.707-0.707i ...and so on ] This is the sequence and I am trying to view the frequency spectrum of this ...
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40 views

time domain non stationary time series individual colored noise identification algorithm

One of the methods for identification of modulated colored (stationary) noises is that of lag 1 autocorrelation power law noise identification algorithm. This method can determine the dominant noise ...
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2answers
39 views

How to determine the filter type of a discrete frequency spectrum

I have the discrete impulse response of a filter and i want to determine which kind of filter it is by using the DFT. The impulse response is: h0 = [0,1,2,1,0] ...
0
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1answer
57 views

is $F(x, n)=x(n)u(n)$ time invariant?

My book with answers to proakis and manolakis book says that $F(x,n)=x(n)u(n)$ is time invariant while my calculation shows that it is time variant. I have repeated them many times and I am mostly ...
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0answers
54 views

is $F(x,n)=x(-n + 2)$ time invariant?

My book with answers to proakis and manolakis book says that $F(x,n)=x(-n + 2)$ is time invariant while my calculation shows that it is time variant. I have repeated them many times and I am mostly ...
0
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2answers
73 views

How sine wave is generated using lookup tables

From this document I am quoting P2,L7 So what is the incremental distance if we are using a 64 element look-up table instead of a sine function based on 2π? incremental distance = 2k*64/48k = 8/3. ...
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1answer
24 views

What are the units of amplitude of my ultrasonic recording equipment

I'm not familiar with the topic of sound. I have ultrasonic audio recordings sampled at 250kHz (16bit) in WAV format. The equipment used to record them is linked here: ...
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2answers
75 views

adding noise to a signal

I have an audio file. I took an extract of the file called variable "CALL", and I took another extract from the file which is just filled with background noise, called "BACKGROUND". Using matlab, I ...
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1answer
63 views

Matlab: if given nothing but an audio file, how do I modify it to produce incrementally lower signal to noise ratios?

I have an audio file with a high sampling rate of 250khz. It contains animal noises. I've built a program which counts all the animal noises. However, I want to find out how robust the program is and ...
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2answers
41 views

Can a infinite bandwidth signal Be a infinite Time SIgnal?

While Decomposing the impulse train using the Fourier series the no. of the samples are infinite hence representing a infinite length of train. But while studying the Nyquist Criteria in the ...
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38 views

Analog to digital conversion : Help in understanding how to represent quantized orbit

Problem : How do I use a map - The Bernoulli Shift Map to generate binary output using the following concepts that can find its application in coding ? Concept : The Dyadic map also called as the ...
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1answer
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why do we use $X(e^{j\omega})$ instead of $X(j\omega) $ in Discrete Time FT

I am studying DT-FT. But I cannot figure out why we use $X(e^{j\omega})$ instead of $ X(j\omega) $ in DT FT Thanks in advance..
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1answer
64 views

Why adaptive filter does not work in my application

I got a problem when I was trying to denoise a signal. Actually, it is a simple simulation. The signal is the addition of a step signal (The info I wish to get) and a sinusoidal one (the noise I wish ...
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1answer
29 views

Sketching Phase Spectra Using Group Delay and Magnitude Spectra Informations

I have only magnitude spectra and group delay information and I need to sketch phase spectra from this information. For example, group delay is given like this: $\tau_{g}(\omega) = c$ where c is a ...