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 ...
LiuXiu's user avatar
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1 vote
1 answer
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 ...
ISquared's user avatar
  • 121
5 votes
1 answer
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 ...
Mitul Agrawal's user avatar
0 votes
2 answers
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 ...
makala's user avatar
  • 55
8 votes
4 answers
2k views

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), ...
Abe Pressman's user avatar
1 vote
2 answers
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 ...
eudoxos's user avatar
  • 185
5 votes
4 answers
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 ...
Charlie's user avatar
  • 193
1 vote
2 answers
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 ...
Kachinsky's user avatar
  • 113
2 votes
1 answer
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 ...
Goz's user avatar
  • 475
5 votes
0 answers
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: $s_{\rm out}[n] = s[n] \ast k[n,q]$ ...
Nicholas Kinar's user avatar
16 votes
13 answers
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 ...
user1724's user avatar
  • 169
10 votes
1 answer
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 ...
Mazzy's user avatar
  • 545
22 votes
4 answers
5k views

Fast / Efficient Way to Decompose a Separable integer 2D Filter Coefficients without the SVD

I would like to be able to quickly determine whether a given 2D kernel of integer coefficients is separable into two 1D kernels with integer coefficients. E.g. ...
Paul R's user avatar
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