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# Questions tagged [interpolation]

Interpolation is a method of constructing new data points within the range of a discrete set of known data points.

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### Pulse shaping filter transmitter and reciever with interpolation and decimation

I'm designing a basic transmitter and receiver using QPSK in baseband. So the pulse shaping filter I'm using at transmitter is Raised cosine with interpolation of 2. So I'm transmitting 2 samples / ...
1 vote
38 views

### How do a article compare images of different resolution using MSE and SSIM?

I have come across an article in the field of medical image processing using super-resolution (SR) where the author is comparing a low-resolution (LR) image with its super-resolution (SR), high-...
125 views

### Best Methods for Interpolating Short Non-Periodic Bandlimited Signals

I need advice on interpolating a very short (N < 10) discrete, bandlimited signal that is sampled above the Nyquist rate. I understand that technically finite length signals have infinite bandwidth,...
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1 vote
118 views

### What are the advantages of using the Dirichlet kernel for interpolation?

Suppose we define the Dirichlet kernel as: $$\frac{\sin(\pi N x /2)}{\pi N\sin(x /2)}$$ (Note: I'm not entirely sure what the standard definition of the Dirichlet kernel is; mine is slightly ...
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### Interpolation Control for doing Timing Recovery in FPGAs

I intend to make a timing recovery circuit on an FPGA and for that I have to make synthesizable models of Xilinx Blocks for Interpolation Control (Module-1 Counter based) in Simulink. I have made ...
1 vote
91 views

### Farrow filter - Effect of Delta Delay

Looking at the Farrow structure we see that the closer the specific FIR block to the output, the less effect the Delta has on it. When the output of H4 isn't effected at all by the value of the Delta ...
• 157
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### Pixel Shift when using Fourier Downsampling

I am working on a Super-Resolution network, and want to try to use Fourier downsampling, different from the normally used bicubic downsampling as it relates to MRI imaging. I have tried using this ...
1 vote
927 views

### Understanding the Farrow Filter

I found the following diagram of a Farrow Filter online: As far as I understand the purpose of a Farrow filter is to interpolate samples at a fractional ratio. For example: we have an ADC sampling at ...
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98 views

### fast spherical filter: interpolation

Here is the minimum working examples of fast spherical filter in c++ The reference paper is Fast Spherical Filter There is a bug in the implementation where the ...
• 669
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### Interpolation of STFT between time and frequency bins

I am trying to identify and remove airplanes in a time series obtained at a radio meteor receiver. Here we have a spectrogram which displays the power content of my signal as a function of frequency ...
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1 vote
115 views

### How are the results of a fourier-transform interpolated to cover the entire frequency range?

Say we have an audio signal and we do a Fourier transform with block size 2048. Now the outputs correspond to 1024 different frequencies. A spectrum analyzer however doesn't just display 1024 discrete ...
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Consider two sequences $x[n]$ and $y[n]$ being simultaneously sampled from a real-world signal. Let $x[n]$ be a sequence of length $N$ sampled for duration of $T_x$ at rate $f_x$ $n = 0, ..., N-1$ ...