# Questions tagged [1d]

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### What is the Fourier Transform integral equation for a 1D signal and how can it be expanded into 2D, 3D, and 4D?

I know that is the 1D Fourier Transform (FT), and the 2D FT is and 3D FT is , but I am not sure whether these expressions are in fact Fourier transform integral equations for a 1D signal, expanded ...
• 13
1 vote
56 views

### Way to extrapolate scarce signal

Firstly apologise if I use the wrong terminology, I don't have formal experience in signal processing, hence I would appreciate the help a lot. I have a time-domain photon counting signal which due to ...
• 121
632 views

### Deblurring 1D data using direct inverse filtering

In my assignment I have been given recorded temperature over a period of time (193 values) and the impulse response (5 values with n=0 corresponding to the middle value.) Data: data.csv ...
196 views

### 1D-Phase Unwrapping

I am new to signal processing and I am reading about 1D phase unwrapping Here is the paper that I am reading. It refers to x as the signal but then it shows in the graph the axis are origina phase in ...
• 55
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### Deconvolution to Remove Gaussian Blur in 1D Signal (Wiener Filtering?)

I've got a set of biology data that I'm trying to denoise (effectively, a population statistic can only be measured convolved with a gaussian of known width) My problem is this: I can measure (f*g), ...
1 vote
1k views

### Detecting trough widths and locations in 1d signal

I have the following function obtained from averaging 2d camera image over one axis, where detection of aligned objects is desired: I need to detect (roughly speaking) locations and widths of the ...
• 185
3k views

### Algorithm for 1d spline interpolation suitable for 8 bit microcontroler

What is a concise, fast, down to earth algorithm for doing (or closely approximating) spline interpolation on a 1d continuous stream of data? (Edit1: The paragraph below equates to saying "the ...
• 193
1 vote
2k views

### Working with the DCT

I am having a very hard time to implement the DCT algorithm. I have quite a few requirements like it has to work with NxN matrix or at least power of 2, it has to be 2D, it has to produce same output ...
• 113
690 views

### Cross-correlation of time compressed 1D signal

If I ave 2 otherwise identical 1D signals that are phase shifted from each other then cross-correlation is a perfect way to identify the time lag between the 2 signals. Now supposing I double the ...
• 475
363 views

### Blind 1D equalization/deconvolution with some knowledge of filter kernel

Let $s_{\rm out}[n]$ be the 1D output signal of a system, $s[n]$ be the input, and $k[n,q]$ be the filter kernel for an element $n$ and for fixed value $q$. Then: $s_{\rm out}[n] = s[n] \ast k[n,q]$ ...
37k views

### Deconvolution of 1D Signals Blurred by a Gaussian Kernel

I have convolved a random signal with a a Gaussian and added noise (Poisson noise in this case) to generate a noisy signal. Now I would like to deconvolve this noisy signal to extract the original ...
• 169
1k views

### Solving a Convolution Problem of a 1D Signal

I'm finding in trouble trying to resolve this exercise. I have to calculate the convolution of this signal: $$y(t)=e^{-kt}u(t)\frac{\sin\left(\dfrac{{\pi}t}{10}\right)}{({\pi}t)}$$ where $u(t)$ is ...
• 545