# Tagged Questions

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### How to apply fourier transform to $0.5^n u(n)$

I'm working in a signals class for continuous signals, and we have this problem shown above. I have tried using this function $f_1*f_2 = F_1 * F_2$, where I'm assuming this means multiplication of ...
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### Mathematical rigour in Signal and Systems

I'm an electronics engineering student with high inclination to analysis and pure mathematics ( abstract algebra/linear algebra ... ). I was just wondering if there was any book ( or any resource ) ...
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### A simpler method or more descriptive answer to the Fourier Transform

I'm trying to do a CT Fourier Transform of these two signals $$e^{-a(t-1)} \cdot u(t-1)$$ and $$e^{-a(t-1)} \cdot u(t)$$ Where $a$ is any real number, and $u(t)$ is the unit step function. My ...
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### How does Fourier series apply to signals?

I have the complex form of Fourier serie: It says that an and bn are real numbers, while c is a complex number. I need Fourier serie to represent an electrical signal that should transmit bits. ...
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### Effect of Quantisation of a Signal on the Estimated Spectrum

I have been applying the Welch Estimation technique to a signal in MATLAB to give a Spectral Density plot for frequencies from 0 to 0.5 the sample rate. I have two issues: I have a peak at 0.25 for ...
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### Why does increasing sampling density in the frequency domain separate overlapping artifacts in the spatial domain?

I have employed the fourier(projection) slice theorem in matlab. I have a 3D image, P(x,y,z) defines their pixel intensities at a given location int he image volume, it is discrete and uniform. I take ...
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### Time-limited signal Fourier transform

Suppose that there are two periodic signals with particular frequencies. Two signals are then combined into one signal. Suppose that we take finite samples of these signals. (so, finite time of ...
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### Fourier transform of a sum of signals

Let us say that there are some signals, and all of them are Fourier-transformable and are a unique, single-frequency sine wave. Now, we combine (add) these signals into one signal. Then, we do ...
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### Nyquist-Shannon sampling theorem and highest frequency

Nyquist-Shannon sampling theorem states that sufficient condition for sampling is sampling rate higher than twice the highest frequency. By highest frequency, does this refer to the highest ...
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### A signal that can be transformed by Fourier transform and its frequency

A signal A, which is in time domain, can be transformed by Fourier transform into its frequency contents. Then, is the signal A's frequency the highest frequency part of its Fourier transform? (i.e. ...