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

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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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29 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
28 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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5 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
31 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
30 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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21 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
30 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] ...
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1answer
41 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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48 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 ...
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2answers
49 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
20 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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50 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
54 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
37 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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33 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
29 views

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
53 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
23 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 ...
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1answer
44 views

Properties of Stochastic Processes [closed]

I have a basic question about stochastic processes: When some informations such as wss, uncorraleted sampled, white about random signal (say x[n]) are given, what do we exactly have? For example ...
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51 views

Finding if a signal is periodic

Hello I just started learning Signals and Systems and I have a question regarding periodic signals. For instance: $x(t) = \cos(3.2t) + \sin(1.6t) + e ^{j2.8t}$ is periodic because of the HCF of the ...
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18 views

Approximating the fourier coefficients from a discrete time signal

Suppose I have a discrete time signal $x_t$ sampled with a frequency $f_s$. I know that if I take the discrete fourier transform of the signal and compute the power, I can easily (by visual ...
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1answer
31 views

Testing discrete data for periodicity

I have some data which looks roughly periodic - is there a nice way to measure this? This is an example I'm working on and I'd like a metric that I will be able to just threshold to give a decision ...
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1answer
29 views

Do FIR filter have any application in control theory?

I know about IIR filter as discrete pendent to transfer functions in the Laplace domain. So it is actually quite simple to convert the function of the control system and finally receive the discrete ...
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7 views

Determining if an unknown signal has “converged” or become quasi-steady

Relevant background: I am trying to simulate unsteady flow in a converging-diverging nozzle, and trying to see how the flow shedding downstream of the nozzle affects the wall shear stress ...
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26 views

Sub-clock FPGA delays on output line

I am trying to include the ability to have sub-clock delays on an FPGA system's data bus without the need of fractional delay filters. I am using a Xilinx V6 part, and could utilize its IODELAYE1 ...
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54 views

integrate/ differentiation of discrete signal in Matlab

if I have a sinusoidal signal constructed using Matlab (discrete signal constructed from samples) fs=1000; t=0:1/fs:1-1/fs; x=5*sin(2*pi*40*t); plot(x) what ...
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24 views

Is it possible to calculate the variance of signal in real time implementation? [duplicate]

In communication system, when we received some signal which contain our message of known variance sigma_s which is corrupted in noise of unknown variance. If I need the variance of the signal in ...
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27 views

What is the preferred method of aggregating audio FFT data given variable-size frequency bins?

I am coding a program which uses a FFT to process audio data. I need to aggregate the FFT output into three bins ("bass", "mid", and "treb") determined by two arbitrary frequency values. The end-goal ...
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1answer
53 views

my Butterworth lowpass formulas do not agree with Fisher webpage

I want to implement Butterworth low-pass filter. Thanks to this question, I have found out that the filter coefficients can be generated using Tony Fisher web-site or using his code. But the problem ...
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37 views

Relationship between values of frequency magnitude and values of time amplitude in an audio signal

I have an audio signal in wave format, with its time amplitude values located between -1 and 1. When I compute its fft (in respect to the whole signal) and then extract its absolute value to plot the ...
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49 views

Generate time-domain random signal from PSD

Given an analytical description of the PSD, for example (MATLAB "pseudocode"): ...
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5answers
79 views

Looking for an algorithm that computes “Similarity” between two signals

I'm new in this forum! ... and I'm not an expert in signal processing! ... So I hope to find help here:-) I was wondering if someone could point me to an algorithm/technique that is used to compare ...
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16 views

Noise modeling and reduction in Video when we have just noisy video

We would like to send a video (sequence of images), we have limit bandwidth. If there is a lot of noise, the required bandwidth (bitrate) is needed to send the video+noise becomes high that is not ...
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73 views

Discrete Fourier series for a sum of deltas

so Im given a discrete sum $$x[n] = \sum\limits_{r=\infty}^{+\infty}\delta[n-rN]$$ how do I calculate its discrete Fourier series coefficients? Thank you. edit: this is what i've come to up to now:
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1answer
34 views

Initial value Problem with difference equation

How to solve the initial value problem with x(n + 1) + x(n) = n^2; x(0) = 1 I do know how to solve for initial value theorem in differential equation, but not in ...
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2answers
76 views

Transfer function block diagram

Can any one help with the $y[n]$ and $x[n]$ relationship in this block diagram, I just keep have a $t[n]$ in my answer that I can't get rid off. On my best try I got to $y[n] = ...
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2answers
44 views

Periodicity of discrete time signal: $ x\left [ n \right ] = \cos (\frac{\pi n^{2}}{8}) $

I need to find the periodicity of the following signal: $$ x\left [ n \right ] = \cos (\frac{\pi n^{2}}{8}) $$ Now I understand that the basic procedure to determine the periodicity is to find a $ N $ ...
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12 views

sampling frequency of a bandpass modulated signal

If the input signal is 3khz and the carrier signal is 10khz what will be sampling frequency of the modulated signal if the modulation is bandpass modulation?
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35 views

The channel capacity with additive Gaussian noise with changing variance?

As we all know the capacity for a AWGN channel with constant noise variance is just given by $\frac{1}{2}\log(1+SNR)$. What if the variance of the noise changes with the type (assuming the variance ...
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53 views

How to define cyclic frequency for cyclostationary signal in terms of signal parametrs?

I am trying to detect cyclostationary signal. For that it is required to know its cyclic frequency. But I am unable to figure out how it can be related to signal parameter. Is it possible to define ...
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1answer
266 views

What is the theoretical upperbound of information that could be transmitted by a device per second?

Suppose I would like to stream data from a device in a single second. What would be the theoretical upperbound of the amount of information (in bits, bytes, pixels...) that could be sent during this ...
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1answer
23 views

Resource request: CRLB for system identification

On the Computation of the Cramer-Rao Bound for ARMA Parameter Estimation by Benjamin Friedlander, provides the CRLB for AR model driven by a white Gaussian noise. ...
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83 views

Computing main lobe width of Hamming window in Matlab by plotting

I wanted to verify the fact that main lobe width of a Hann/Hamming window is twice that of a rectangular window, using Matlab. I computed the analytical expressions for the respective frequency ...
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1answer
40 views

Z Transform problem

I have a class exercise of an inverse Z transform and I have some trouble. I will render an example to make my point. Let's asume the Z transform pairs: $$a^n \cdot u[n] \Leftrightarrow ...
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1answer
43 views

The two types of stability and “Why exponential”

When I was learning about LTI systems, I noticed that LTI system is said to be BIBO stable if and only if its square sum of impulse response is finite. This expression is found on many textbook of ...
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1answer
31 views

How would I go about designing a difference equation for a given type of filter?

I have experience using design tools such as Xilinx's CoreGen and MatLab's DSP tool kit, but I have not really had much experience designing filters from the ground up. Reinventing the filter as it ...
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1answer
46 views

What is the difference between a sampled time system and a discrete time system?

I am trying to evaluate whether I should control a system in simulink using sampled data system or discrete time system. The discrete model is as follows: The sampled time system is as follows ...
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2answers
40 views

Why is my bode plot showing periodic behavior?

I found something very interersting when I was trying to simulate a discrete time system. So first I discretized the continuous system $G(s)$ using "c2d" function and "dbode". The resulting bode ...
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156 views

How to estimate for an exponential in WGN

Question: Formulating a Maximum likelihood estimator: So, the likelihood will be $p(y;\mathbf{h}) = \frac{1}{{(2 \pi \sigma_\eta^2)}^{T/2}} \exp{(-(y - y_0(t))^2)/ 2\sigma_\eta^2}$. Then, I ...