Questions tagged [reference-request]

Asking for official sources, e.g. books, scientific articles or other similar literature that can be used to back up your statements or methods.

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52 views

Convolution of signals sampled on a logarithmic grid

Is there a practical accelerated algorithm or a theoretical discrete (Fourier) transform based method to convolve discrete-time signals sampled on a logarithmic grid? What I mean is representing a ...
167 views

Overlapping power-of-cosine windows with constant weight

I would like to refer you to a relevant question I posed on the Math StackExchange: A generalisation of the Pythagorean trigonometric identity. As can be seen from the question and the answer, what ...
64 views

Recent Papers on Spectrum analysis

This is more of a soft question, I am currently writing a paper for my Master's in Mathematics and my topic of choice has been to focus on the Mathematical techniques behind Spectrum Analysis. For ...
87 views

Introductory resources to mathematical properties of “dynamically recalculable” filters in audio/musical equalizers?

Introductory resources to mathematical properties of "dynamically recalculable" filters in audio/musical equalizers? Particularly, I want to understand What mathematical features (e.g. monotonicity ...
96 views

Helmholtz decomposition implementation

I need to perform the Helmholtz decomposition of a 2D flow. An old and obvious problem is the numerical differentiation (largely amplifying the noise). I do understand the procedure I am just ...
46 views

Advances in Blind SNR estimation beyond $M_2M_4$

In Pauluzzi and Beaulieu, various SNR estimation methods are compared. Among the blind methods considered, the $M_2M_4$ estimator seemed to be unambiguously the best. However, it has been shown that ...
32 views

Doubt regarding definition of pixel bond

The following is a quotation from an Image processing textbook: The connectivity relationship between a center pixel and its eight neighbors can be quantified by the concept of a pixel bond, the sum ...
589 views

Common symbols or standards used for DSP block diagrams?

When creating high level block diagrams of DSP or signal processing, what symbols are typically used? Are there any standards? For example its common to see gain to be a triangle. Whilst for a low ...
105 views

Beam pattern for a linear array comprised of rectangular transducers

I am looking for the beam pattern of a linear array with uniform spacing, $d$, between $n$ elements. I know for an array comprised of circular pistons it can be derived from \frac{1}{n}\frac{\sin[...
32 views

Books about signal processing with a biology or health basis

I've already seen this and this questions about books and references, but all of them are directed for someone who has a background in engineering or a related field. Are there any good introduction ...
215 views

Efficient computation of Chirp Z Transform

Chirp Z Transform (1, 2, 3) is more powerful than zooming techniques (I use it to actually trace non-stationary chirp signals) and very usable in signal processing, but it's flexibility comes at price ...
573 views

Fourier transforms of random processes

In the Wikipedia article on Brownian noise, the Fourier transform of Brownian noise is determined. How is that Fourier transform defined? It seems it is a non-random quantity there, so it is not ...
14 views

Use of moment generating function (MGF) approach for driving closed form expression of pairwise error probability (PEP) of space-time code

i am trying to evaluate the performance of a multi-antenna communication system that uses space-time coding. To do so, i would need to derive a closed form expression for the pairwise error ...
13 views

Worst-case error bounds for PLL

I am working on a project that involves time synchronization and we want to derive worst case bounds for the accuracy of the current time given measurements with known error as input. Unfortunately ...
14 views

Can somebody explain SDF and MACE to me?

I can't find any information on SDF and MACE save for a vague exert in Kinser's Image Operators books. Therefore I am dumbfounded. I can't understand what they do and what's their role in composite ...
48 views

The origin of the restricted isometry property (RIP)

I have been looking for the origin of the restricted isometry property (RIP). Many papers cite the origin of the RIP in the following paper Emmanuel Candès, Terence Tao, Decoding by Linear ...
46 views

Basis Expansion Channel Model

I usually encounter that kind of channel model which is Basis Expansion Channel Model, But I couldn't understand its meaning exactly, and what is it. Could you please help me by providing a simple ...
35 views

Applying the inverse FFT to even out a room's sound - What is the more efficient algorithm?

I have a way (the standard way) to correct for my room's acoustics, but I'm wondering if there's a more efficient algorithm, something that doesn't involve going to the frequency domain maybe? I ...