# Questions tagged [discrete-signals]

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

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### How to randomly generate a realistic hourly temperature series given historic data

I have 20 years of historic hourly temperature data in Omaha. I want, given just a seed, to be able to generate a pretty realistic year of hourly temperatures. (I have a program that takes such ...
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### Complex Filter design using Matlab's FDAtool

What functions does matlab's FDAtool use to design filters from pole zero placement? Functions such as zp2sos require the the poles and zeros are either real or complex conjugates, FDAtool does not ...
180 views

### Significance of sequency ordering in Walsh-Hadamard matrices

So I've been doing some reading into Hadamard and related matrices (Slant, Walsh, , and have observed that there are three typical "orderings" of the rows based on various criterion. E.g. "Natural", "...
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### Correct scaling for AWGN noise in OFDM system after adding Preambles

I have a two-part question: Question 1 I wonder if anyone can explain about the scaling factor that is used for AWGN noise in OFDM system. For example I know about the scaling factor for normal OFDM ...
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I am simulating an impulse signal of a resonant bearing fault with this formula: $$y(k)=\sum_r A_r \sin\left(\displaystyle \frac{2\pi f \left(k - rF/f_m\right)}{F}\right)\cdot e^{\displaystyle-\beta(... 0answers 116 views ### Best Method to Separate square wave and smooth wave I have a signal consists of a smooth wave and square waves. Is there comprehensive method can separate square wave and smooth signal? I looked for the likelihood ratio test but cannot find any ... 0answers 30 views ### For extracting the characteristics of the signal what minimum duration should be considered? Being non signal processing student I have a limited understanding of concepts. I have a continuous periodic bearing faulty signal of 10 seconds duration sampled at 12 kHz. So I have 120,000 ... 0answers 48 views ### Match a target spectrum I'm working on rolling noise emissions from cars. I have a model for rolling noise emissions which gives me sound pressure levels in third octave bands (29 in total, between 20Hz and 8kHz), depending ... 0answers 137 views ### How to Sample Smooth Random Walks of Instantaneous Frequency I want to generate a random sequence for instantaneous frequency with as little aliasing as possible (i.e I expect to see as close to constant amplitude as possible, with only the frequency varying). ... 0answers 39 views ### What are the popular benchmark systems and equations in adaptive signal processing? In various papers I met repeating equations and systems used during experimental analysis. For example AR model as follows x(k) = 1.79 x(k-1) - 1.85 x(k-2) + 1.27 x(k-3) - 0.41 x(k-4) + v(k) seems ... 0answers 60 views ### Correlation between a lowfrequent and a fast signal I need to evaluate the correlation between some measured signals. Those signals are for example current, temperatures at various points, vehicle speed and torque from an electric motor in a vehicle. I ... 0answers 129 views ### Wiener filter with no WSS process I'm trying to learn something more about Wiener Filters and I can't find anywhere what happens when I feed a Wiener Filter with a non WSS process. Could anyone give me an explanation or any book (... 0answers 73 views ### Autocorrelation of a L-point moving average system The L-point moving system is:$$y[n]=\frac 1L\sum_{k=0}^{L-1}x[n-k]$$x[n] is a Bernoulli random signal with \beta=0.5 (equal probability) The autocorrelation of x[n]: \psi_{xx}[m]=\delta[... 0answers 34 views ### Unique signal extraction from a cumulated signal I'd like to start off by saying that I am not very experienced at signal processing, so I apologise in advance if I do not explain everything properly the first time. I would like to analyse the ... 0answers 23 views ### Power Spectral Density Via Rank 1 Update I know that I can find the autocorrelation matrix of a series of finite length sequences via rank-1 updates using the relation: \mathbf{R}[k] = \frac{1}{k}\mathbf{R}[k-1] + \frac{1}{k+1}\mathbf{r}[k]... 0answers 464 views ### Sampling and zero crossing I am sampling a sine wave of 50Hz(stepped down from 230V) at the rate of 500KHz. For identifying disturbances in the wave, i was thinking of comparing a cycle of incoming sine values with reference ... 0answers 31 views ### connection between theory that is done in L^2(\mathbb{R}) and its application on discrete signal I have problems understanding connection between theory that is done in L^2(\mathbb{R}) and its application to discrete signals. Look at this paper: http://home.ustc.edu.cn/~zhanghan/cs/... 0answers 381 views ### Discrete Fourier Transform for text analysis? I would like to determine the number of text-blocks verifying a roughly similar pattern. I have the intuition that I could do it using some Discrete Fourier Transform (DFT)-like methodology. Example: ... 0answers 62 views ### Methods for edge detection with non-equidistant samples This posting describes two methods of edge detection for wave analysis in a water pipe. I am not sure about advantaged and disadvantages. Therefore I want to evaluate the best method for this ... 0answers 27 views ### Emulate signal loss of a pixellated detector in Python? I have a matrix 64x64 where each cell represents the pixel of a pixellated detector. The spacial response of this detector decreases by going further from its center (that is, coordinates "31,31" or "... 0answers 23 views ### 'ADC' sort of conversion method to retain information I have a program that reads 16 bit two's complement format data to plot/analyze graphs. I have a database text file with various decimals which represent real analogue data, ie. let's say they are ... 0answers 67 views ### Relation of roots of a polynomial to amplitude distribution of its coefficients Consider g(x)=\sum_{k=0}^{p}a_kx^{k}, and let \{\tau_1,\tau_2,\cdots,\tau_p\}\in\mathbb{C} be the roots of g(x). What is the relation between how \{a_0,a_1,\cdots,a_p\} are distributed (in ... 0answers 129 views ### Finding the Nyquist Frequency of Irregularly Sampled Discrete Data According to L. Eyer et al. (1999), the correct Nyquist frequency of irregularly sampled data is$$ \frac{1}{2p} $$Where p is the largest value such that:$$ \forall t_i,t_i = t_1 + n_ip \\ \...
How can I perform the inverse z-transform on the following $H(z)$ to be able to calculate a real-valued impulse response $h[n]$? $$H(z)=\frac{z^2}{z^2+0.8\sqrt{2}z+0.64}$$ My idea was to find an ...