# 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 normalize FIR filter gain from the amplitude response in frequency domain?

I've got a set of measured data (amplitude and phase responses) of a filter. And I want to normalize its gain to be unit (equal to 1) for further processing. I know that we can convert to time-domain ...
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### Input (Auto)Correlation Matrix for LMS Adaptive Algorithm

I read quite a few posts regarding the autocorrelation matrix and although some of them were of the LMS adaptive algorithm application, I didn't find an answer to my question. How do I calculate R; ...
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### Difference between H2 control and input shaping

Let us assume a system with external disturbance to reject. The system that is used for controlling has vibrations, that we would like to avoid. We assume moreover that the dynamics are known (10% ...
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### Effect of windowing on signals

I have an input signal of frequency 1000Hz. Sampling frequency=16kHz. I compute the FFT on 128 input samples and plot the magnitude spectrum. I am not doing the normalization by 128. My two sided ...
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I am trying to implement an SDR transmitter and receiver based on the description here. ...
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### Unwindowed STFT of sine, closed form solution and insights (sliding FFT)

I seek to calculate, mathematically, the unwindowed Short-Time Fourier Transform of $$\cos(2\pi f t + \phi)$$ i.e. any arbitrary real-valued sine: any frequency, duration, phase shift, and number of ...
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### How should I go about calculating sines or cosines without the errors introduced solely by the transcendence of pi?

This may be irrelevant for many people but I'm asking this question because I don't need to do these things in real time, I don't care if modifying a 1-minute sound recording takes 5 minutes to ...
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### Not getting the same step response from Laplace transform and it's respective difference equation

I am trying to simulate a plant on a microcontroller. The transfer function of the plant is $$G_{p} \left( s \right) = \frac{2}{\left( s + 3 \right) \left( s - 1 \right)} \tag{1} \label{1}$$ The step ...
In Learning Recursive Filters for Low-Level Vision via a Hybrid Neural Network, the hidden state of the recurrent neural network (RNN), after some simplification, presented as  h[k] = (1-p)\cdot x[k]...