# Tag Info

Accepted

• 79.2k

### Show others how I hear myself

The most practical attempt that I am aware of is by Won and Berger (2005). They simultaneously recorded vocalizations at the mouth with a microphone and on the skull with a homemade vibrometer. They ...
• 231
Accepted

### Feature extraction/reduction using DWT

I think it is kind'a similar to soft and hard thresholding using in wavelet de-noising. Have you come across this topic? pywt has already an in-built function for ...
• 10.4k
Accepted

### Show others how I hear myself

It is not impossible but it is not going to be a walk in the park too. What you would be trying to do is to add to the voice signal, those vibrations that are delivered to the ear via the bones and ...
• 10k

### Discrete wavelet transform; how to interpret approximation and detail coefficients?

Wavelet transforms can be more difficult to interpret than FFT at face value due to the various representations, nomenclature and output formats. I had to study more than 15 resources to get a good ...
• 181
Accepted

### What is a Kravchuk transform and how is it related to Fourier transforms?

Transliterations of Ukrainian names have different avatars in English (and in others languages as well). You can find Kravchuk polynomials, and other papers like On Krawtchouk Transforms or ...
• 29.6k
Accepted

### Whether Fourier transform formula be considered as Convolution or Correlation?

Correlation and convolution are basically the same operations. You can express the cross-correlation of two functions $f(t)$ and $g(t)$ by a convolution: $$R_{fg}(\tau)=f(\tau)\star g^*(-\tau)$$ ...
• 79.2k
Accepted

• 79.2k

### Connection with system analysis and laplace&Z transform

You are right that the (bilateral) Laplace transform can be interpreted as the Fourier transform of $e^{-\sigma t}f(t)$. However, I think that the significance of the Laplace transform only becomes ...
• 79.2k
Accepted

### Fourier Transform of exponential

The plot is of $$\mid X\left(i\omega\right) \mid = \sqrt{\left(\frac{1}{a+j\omega}\right)\left(\frac{1}{a-j\omega}\right)} = \frac{1}{\sqrt{a^2 + \omega^2}}$$ against $\omega$ In particular $\omega$...
• 1,017

### Finding Laplace Transform without ROC

Strictly speaking you can't because without specifying the ROC, the inverse Laplace transform is generally not unique. However, in many contexts there is the implicit assumption of causality of the ...
• 79.2k

### Can anyone explain how does CZT (Chirp Z Transform) really help in 'spectral zooming'?

The CZT allows for a fairly general evaluation of the Z transform - the more general evaluation path looks like a spiral, so it has a radial component step size as well an angular step size.For ...
• 2,636
Accepted

### Daubechies wavelet transform

Looks like you need a general explanation of the discrete wavelet transform (DWT). DWT breaks a signal down into subbands distributed evenly in a logarithmic frequency scale, each subband sampled at a ...
• 12.3k
Accepted

### Useful natural "Hilbert-like" $n$-uples and $n$-fold "analytic signals

The generalisation of the concept of an analytic signal is not straight forward. I'm quite certain however that looking for such a generalisation with quarternions (or even octonions) will not turn ...
• 4,324

### When doing a Hilbert-transformation, why not simply multiplying by an exponential?

In contrast to Jason R's answer I claim that the Hilbert transform is a phase shift by $-\pi/2$ for real-valued signals. By definition, a phase shifter shifts the phase of a sinusoidal signal by some ...
• 79.2k
Accepted

### How to sketch the following discrete-time signal?

I give you some hints and then you can solve this homework. Your $x[n]$ has only $8$ nonzero values. Figuring out what happens to them (in an exhaustive way) is not difficult. Consider $(n-1)^2$ and ...
• 4,095
Accepted

### Conditions for which the Hilbert transform returns a correct phase

A single instantaneous phase estimate may or may not make any sense if there is more than one frequency peak in the signal's local spectrum. So, to get a better single frequency and phase estimate, ...
• 33.8k
Accepted

Note that the antiderivative of a function is only defined up to a constant. Furthermore, note that if you integrate a periodic function, the result is not necessarily periodic. Let $$x(t)=\sum_{k=-\... • 79.2k 4 votes ### Is there an easy way to translate a Fourier transform table from angular frequency \omega to Hertz f? Your confusion comes from the fact that you use X(\cdot) for denoting both functions, the function of \omega and the function of f, but they are really two different functions, because$$X(\...
• 79.2k

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